research note
Small-Scale Rocket Landing: Can a Learned Guidance Policy Outperform a Classical Approach in Simulation?
For a simulated small-scale reusable rocket (e.g., 10 kg dry mass, 100 m apogee), can a neural network guidance policy trained via reinforcement learning achieve comparable or better landing accuracy and fuel efficiency than a classic convex-optimization-based guidance law (e.g., lossless convexification of powered descent guidance)?
Direct answer
Direct answer
No claim in this set directly compares a learned RL guidance policy against a classic convex-optimization guidance law on the same small-scale rocket, same metrics, and same test conditions, so the question as posed cannot be answered from this evidence. What the claims do show, separately, is that RL guidance policies achieve accurate, fuel-efficient trajectories in 6-DOF simulation for planetary powered descent and landing [1], and that convex-optimization methods such as lossless convexification and successive convexification are the established baseline for powered descent guidance, valued for deterministic behaviour and global optimality guarantees [14][4]. A newer generation of methods speeds up convex solvers using learned warm starts, which is a hybrid of the two approaches rather than a pure comparison [4][11]. Builders who need an answer for a specific 10 kg, 100 m apogee vehicle will have to run the head-to-head experiment themselves, using the methods described below as building blocks.
Why this question is hard to answer from published work
Powered descent guidance for a rocket, whether full-scale or small-scale, is a control problem in which a vehicle must reach a target position and velocity while burning as little propellant as possible, subject to physical limits. Two broad families of methods exist to solve it: classical trajectory optimization, most often convex optimization, and learned policies trained with reinforcement learning (RL). The research question asks whether a trained neural network guidance policy can match or beat a classic convex-optimization law such as lossless convexification (LCvx) on a small-scale reusable rocket, in landing accuracy and fuel efficiency.
The claims collected here describe RL guidance systems and convex-optimization guidance systems, but none of them puts the two side by side on the same vehicle, same scenario set, and same accuracy or fuel metric. Some claims describe RL performance on a 6-DOF planetary lander [1], others describe timing and constraint-satisfaction gains for learned warm-starts to convex solvers [4][11], and others describe convex optimization used alone [14][10]. These are different systems, tested under different conditions, so their numbers cannot be placed on a common scale.
This matters for a builder because the two families solve the guidance problem differently. Convex optimization methods, when applicable, give guarantees: deterministic behaviour, global optimality, and certificates of convergence or infeasibility [14]. RL policies do not carry these guarantees by construction, but they are reported to produce accurate and fuel-efficient trajectories in simulation, and to be robust to noise and parameter uncertainty [1]. Whether that robustness and accuracy amounts to comparable or better performance than a specific convex law like LCvx, on a specific small vehicle, is exactly the missing head-to-head test.
The scale of the vehicle also matters, and none of the claims are stated for a 10 kg, 100 m apogee rocket specifically. The RL results below come from a 6-DOF planetary lander [1], from a high-fidelity rocket model [6], from lunar and asteroid scenarios [3][8]. The convex-optimization results come from Mars powered landing formulations [14][4] and from a rocket powered landing problem with an angle-of-attack constraint [10]. Applying any of these numbers to a small-scale vehicle without re-testing would be an extrapolation the sources do not support.
The rest of this note lays out what each family of method actually does, what has been measured for each, and what a two-person team would need to build to answer the original question directly, since the literature does not yet answer it.
What a learned RL guidance policy looks like
An RL guidance policy for rocket landing is a neural network trained to output thrust commands directly from the vehicle's estimated state. In one approach, Proximal Policy Optimization (PPO) is used to learn a policy that maps the lander's estimated state directly to a commanded thrust for each engine [1]. Training used a 6-DOF simulation environment for the descent and landing task, and the resulting policy produced trajectories described as accurate and fuel-efficient [1]. The system also showed robustness to noise and to system parameter uncertainty [1].
A specific tuning detail reported for this system is that using different discount rates for terminal and shaping rewards significantly enhances optimization performance [1]. This is stated as a general enhancement to the training procedure, tied to the reward-shaping design used in that particular 6-DOF lander study, rather than as an isolated one-off result. A builder adopting a similar reward structure, with both a terminal reward for reaching the target and a shaping reward that guides intermediate behaviour, should expect to need to tune these two discount rates separately rather than sharing one value between them.
Other RL guidance work targets related but distinct problems using the same underlying algorithm. An open-source implementation of the state-of-the-art algorithm Proximal Policy Optimization is adopted to carry out the training process of a deep neural network for trajectory design of interplanetary missions [7]. In that same work, the stochastic optimal control problem is recast as a time-discrete Markov decision process, to comply with the standard formulation required by reinforcement learning [7]. This recasting step, turning a continuous-time optimal control problem into a sequence of discrete decisions with states, actions and rewards, is a general prerequisite for applying RL algorithms to any guidance problem, not only the interplanetary case where it is described.
Image-based approaches extend RL guidance to cases where the policy must act on visual input rather than a clean state estimate. Image-based deep reinforcement meta-learning has produced a closed-loop guidance policy that reaches errors in the order of meters across different scenarios, including when the environment is only partially observed, for autonomous lunar landing [3]. A related image-based meta-reinforcement learning guidance system, applied to the different problem of guiding an asteroid impactor, correctly drove the spacecraft toward the final impact point in more than 98% of 500 test scenarios [8]. Both results describe closed-loop guidance behaviour under uncertainty about the true state, which is directly relevant to a small-scale rocket that must also rely on imperfect state estimation, though neither claim is about a rocket landing on a launch pad or barge.
Standard RL algorithms are not automatically reliable for this class of goal-oriented landing task, and this is an important caution for anyone assuming that any RL algorithm will simply work out of the box. PPO, SAC and DSAC are reported to fail in goal-oriented rocket landing scenarios because they rely on extensive exploration, and the likelihood of randomly reaching the goal diminishes exponentially over time [6]. This failure mode is why specialised training schemes, described in the next section, have been proposed specifically for rocket landing control, rather than relying on off-the-shelf PPO, SAC, or DSAC training alone.
Random Annealing Jump Start: a training scheme built for this failure mode
Random Annealing Jump Start (RAJS) is a training method designed to overcome the exploration failure of standard RL algorithms in goal-oriented rocket landing. In RAJS, a guide policy navigates the environment for a guide horizon, and then an exploration policy takes charge to complete the remaining steps [6]. The guide horizon is sampled from a uniform distribution whose upper bound anneals to zero based on performance metrics [6]. This design lets the exploration policy start closer and closer to the goal as training proceeds, since early in training the guide policy covers most of the trajectory, and as performance improves the guide policy's share of each episode shrinks toward nothing, handing progressively more of the task to the exploration policy under training.
The mechanism directly targets the exponential exploration problem described for standard PPO, SAC and DSAC. Instead of asking the exploration policy to stumble onto a rare goal state from a fully random start, RAJS gives it a running start from a state reached by a competent guide policy, and only gradually withdraws that head start. This design choice is a direct response to the stated cause of failure in standard RL algorithms, namely that the likelihood of randomly reaching the goal diminishes exponentially over time [6].
On a high-fidelity rocket model, RAJS raised the success rate of rocket landing control from 8% with a baseline controller to 97% [6]. This is a large improvement, but it is reported for the specific high-fidelity rocket model used in that study, not for a small-scale 10 kg, 100 m apogee vehicle. A builder targeting a small-scale rocket should treat this number as evidence that the training scheme works on the vehicle class it was tested on, and should not assume the same 8% to 97% jump would occur on a different vehicle without re-running the experiment.
The RAJS method was also validated through extensive evaluation and Hardware-in-the-Loop testing, which affirmed the effectiveness, real-time feasibility, and smoothness of the proposed controller [6]. Hardware-in-the-Loop testing is a meaningful step toward real deployment because it exercises the controller against real timing and interface constraints, not just a simulated clock. However, this validation was carried out on the high-fidelity rocket model used in that paper; the claim does not state that this Hardware-in-the-Loop result was obtained on, or is transferable to, a small-scale 10 kg vehicle. A builder considering RAJS as a fallback controller for a small-scale rocket should note this mismatch in vehicle scale and fidelity explicitly rather than assume the real-time and smoothness result carries over.
Taken together, RAJS is best read as a solution to a specific known failure of standard RL training in this domain, evaluated on one vehicle model, rather than as a general guarantee of performance across rocket scales. It is a training-time fix, not a guidance-law change, and it can in principle be paired with any of the reward-shaping or discount-rate tuning ideas reported elsewhere for RL guidance.
Classical convex-optimization guidance: lossless and successive convexification
Convex optimization is the established classical approach to powered descent guidance. Lossless convexification of nonconvex cost, dynamics, and control constraints is often applied to the 3-DoF powered descent guidance problem [4]. Convex optimization has been considered a prime candidate for on-board autonomous guidance applications because of its deterministic behaviour, its global optimality guarantees, its ability to provide certificates of convergence and infeasibility, and the availability of efficient interior point method (IPM) algorithms [14].
These properties, determinism, optimality guarantees, and convergence certificates, are exactly what an RL policy does not offer by construction, since a trained neural network provides no formal guarantee that its output is optimal or even feasible for a new, unseen scenario. This is a structural difference between the two families rather than a measured comparison, and it is worth stating plainly for a builder deciding which family to trust for a safety-critical landing phase.
The 6-DoF version of the powered descent problem is harder than the 3-DoF version. It is known to be challenging to solve quickly and reliably because the problem is nonlinear and non-convex, the discretization scheme heavily influences solution validity, and reference trajectory initialization determines whether the algorithm converges or diverges [4]. An earlier paper describing successive convexification for 6-DoF Mars rocket powered landing with free-final-time states the same three difficulties in near-identical terms: solving the problem quickly and reliably is challenging because it is nonlinear and non-convex, because the validity of the solution is heavily dependent on the accuracy of the discretization scheme, and because it can be difficult to select a suitable reference trajectory to initialize an iterative solution process [14].
That successive convexification work also reports that, through the use of Interior Point Method (IPM) solvers, this sequence of convex subproblems can be solved quickly and reliably, thus enabling higher-fidelity real-time guidance for rocket powered landings on Mars [14]. This is a positive result specific to the Mars powered-landing setting and to IPM-based solvers, and it should be read as evidence that the successive-convexification approach, when paired with IPM solvers, meets a real-time requirement in that setting, not as a general speed guarantee independent of solver choice.
Separately, a convex programming method for rocket powered landing with an angle-of-attack constraint showed, in numerical simulations, that it can find a feasible landing trajectory where the angle-of-attack constraint is satisfied, with better convergence performance compared with a traditional linearization method [10]. This is a comparison against a linearization baseline within the convex-optimization family, not against an RL policy, and it demonstrates that convex methods themselves continue to be refined against earlier convex or linearized techniques.
Precision landing under real disturbances adds further difficulty beyond the algorithmic challenges above. Endoatmospheric landing is subject to disturbing conditions including engine thrust fluctuation, aerodynamic coefficient uncertainty, atmospheric density perturbation, and wind disturbance [5]. This is the backdrop against which any guidance law, learned or classical, must be judged if it is meant for a real, flying small-scale rocket rather than only a clean simulation, since a small, light vehicle is likely to be more sensitive to wind and thrust variation than a large launch vehicle, even though no claim states this comparison directly.
Speeding up convex solvers with learning: a hybrid, not a replacement
A separate line of work does not pit RL against convex optimization but instead uses learning to make convex optimization faster or more reliable. T-PDG improves solution times by up to an order of magnitude compared to lossless convexification (LCvx) for the 3-DoF minimum-fuel powered descent guidance problem [4]. This is a timing comparison between a learning-augmented method and a classical baseline, on a specific 3-DoF problem formulation, not an accuracy-versus-accuracy comparison of an RL policy versus LCvx.
The mechanism behind this speed-up is prediction of which constraints will be active at the optimal solution. T-SCvx learns to predict the set of tight or active constraints at the optimal control problem's solution, creating a minimal reduced-size problem initialized with only the tight constraints, then uses the solution to warm-start the direct optimization solver [4]. Warm-starting means the solver starts closer to the answer, which is why solve times drop; the reduced problem size, containing only the predicted tight constraints instead of the full constraint set, is what allows the solver to converge faster than it would on the full lossless-convexification formulation.
A related method, TOAST, follows a similar warm-start philosophy but is evaluated on different problems. Through numerical experiments on a Lunar rover problem and a 3-degrees-of-freedom Mars powered descent guidance problem, TOAST outperforms benchmark approaches in terms of both computation times and network prediction constraint satisfaction [11]. Again, this is a comparison against benchmark warm-start or optimization approaches, not against a pure end-to-end RL guidance policy, and the two test problems, a Lunar rover and a 3-DoF Mars powered descent case, are distinct from both the 6-DOF planetary lander used for the RL guidance policy in [1] and from any small-scale rocket.
For a builder, the practical lesson from this family of methods is that learning and convex optimization are not mutually exclusive. A system can use a learned network purely to accelerate or stabilise a convex solver's convergence, keeping the solver's guarantees, rather than replacing the solver's decision-making with a network end to end as in the RL guidance policies described earlier. This hybrid path is worth considering as a third option alongside pure RL and pure convex optimization when designing the comparison experiment this note is ultimately about.
Precision landing under dispersion: guidance laws designed for uncertainty
Precision and robustness to dispersion are central requirements for any small-scale reusable rocket, since real hardware never behaves exactly like its simulation model. One proposed approach is a novel online trajectory dispersion control method based on a Parameterized Optimal Feedback Guidance Law (POFGL) [5]. This is a guidance law aimed specifically at controlling how much a rocket's actual trajectory disperses from its planned one under disturbance, rather than a general-purpose optimizer or learned policy, and it is presented as an online method, meaning it is meant to run continuously during flight rather than being solved once before launch.
A known limitation of feedback guidance laws of this kind is behaviour near the end of the descent. As the time-to-go tends to zero, the sensitivity of the generated guidance command trajectories will significantly increase and inevitably tend to infinity [5]. This is a structural property of the guidance law near touchdown, and any implementation must handle it explicitly, for example by switching guidance mode or capping commanded sensitivity as time-to-go approaches zero, though the claim itself does not prescribe which specific mitigation to use.
This dispersion problem is stated against the backdrop of the disturbances already noted for endoatmospheric landing: engine thrust fluctuation, aerodynamic coefficient uncertainty, atmospheric density perturbation, and wind disturbance [5]. These are exactly the kinds of disturbances a small-scale rocket, which is lighter and more sensitive to wind and thrust variation than a large launch vehicle, would be expected to encounter in an outdoor test, even though no claim makes this scale comparison directly.
None of the claims in this set report a landing-accuracy or fuel-consumption number for POFGL that could be placed alongside an RL policy's number under the same test conditions. The value of this section for a builder is the reminder that guidance laws, whichever family they come from, must be checked specifically for behaviour as time-to-go approaches zero and under realistic disturbance models, not only in a nominal, disturbance-free run, since a guidance law that performs well in a clean simulation may still fail near touchdown or under wind and thrust disturbances that were not modelled.
What has actually been measured, and against what baseline
To keep this note honest, here is every quantitative or comparative result in the claim set, stated with its own baseline and conditions, without merging results from different papers.
- RAJS raised rocket landing control success rate from 8% with a baseline controller to 97%, on a high-fidelity rocket model, using RL [6].
- T-PDG improves solution times by up to an order of magnitude compared to LCvx, for the 3-DoF minimum-fuel powered descent guidance problem [4].
- TOAST outperforms benchmark approaches in computation time and network prediction constraint satisfaction, on a Lunar rover problem and a 3-DoF Mars powered descent guidance problem [11].
- The convex programming method with an angle-of-attack constraint has better convergence performance than a traditional linearization method, in numerical simulations, and finds a feasible landing trajectory satisfying that constraint [10].
- An image-based meta-reinforcement learning guidance system correctly drove a spacecraft to the final impact point in more than 98% of 500 test scenarios, for an asteroid impactor problem [8].
- An image-based deep reinforcement meta-learning policy reached errors in the order of meters across different scenarios, including partial observability, for lunar landing [3].
- The RAQResNet model achieved a validation loss approximately 300 times lower than a standard architecture with an equal number of trainable parameters, and 50 times lower than a standard architecture with twice the number of trainable parameters [2].
None of these results compare an RL guidance policy and a classic convex guidance law on the same vehicle and the same accuracy or fuel metric. Each number belongs to its own paper's benchmark, sample size, and setting, and mixing them into a single ranking would misrepresent the evidence. A builder should treat each of these numbers strictly as a report about the specific method, vehicle, and test scenario named alongside it, and should not average or combine them across papers to produce a claimed ranking between RL guidance and convex-optimization guidance in general.
Related learning infrastructure worth knowing about
Two pieces of infrastructure work, while not guidance methods themselves, are relevant background for a team building and testing RL guidance policies. The Open Ant is a physical variant of the commonly used Gymnasium Ant environment, along with a simulation [15]. The Open Ant robot body is designed to look like the widely used Gymnasium Ant environment [15], and it is designed to be built and maintained by AI researchers without backgrounds in robotics engineering [15]. This second point matters for a small rocket-guidance team: a platform explicitly designed for non-robotics researchers lowers the engineering barrier to running physical RL experiments, which is directly relevant if a team without deep aerospace hardware experience wants to test a guidance policy on real hardware rather than only in simulation.
Mechanically, the Open Ant uses an overhead webcam to track fiducial markers to compute reward signals and the heading vector of the ant [15]. The robot is connected by cables to AC power and to an external computer where the agent is running [15]. This means the reward computation and the agent's decision-making both happen off-board, relying on external sensing and compute rather than fully autonomous onboard systems, which simplifies the hardware a research team needs to build compared to a fully self-contained robot.
On the learning side, competent walking policies can be learned from scratch in approximately one hour directly from the physical robot's experience, for SARSA(λ) and Soft Actor-Critic (SAC) [15]. Separately, the Open Ant comes with a MuJoCo simulation, which can be used to learn competent policies [15], and policies learned in simulation transfer to reality for the Open Ant platform [15]. Together these two results describe two independent routes to a working policy on this platform: training directly on the physical robot in about an hour, or training in the MuJoCo simulation and transferring the result to the real robot. Neither of these results is about rockets or guidance, but the pattern, a matched simulation-and-hardware pair with demonstrated sim-to-real transfer, is exactly what a team building a small-scale rocket testbed to answer the RL-versus-convex-optimization question would need.
Separately, Gym-μRTS is described as a fast-to-run RL environment for full-game real-time strategy research [17]. This is unrelated to rocket guidance in domain, but it is evidence that fast, purpose-built RL environments are valued in the RL research community generally as a way to make iteration cheap, which is a consideration for any team designing a rocket-guidance training environment from scratch. Neither the Open Ant nor Gym-μRTS answers anything about landing accuracy or fuel efficiency; they are included here because they show what matched simulation-hardware infrastructure and fast training loops look like in other domains, which is exactly the kind of infrastructure a rocket-guidance comparison project would need to build for itself.
Other reinforcement learning results in adjacent problems
A few further claims describe RL applied to problems adjacent to rocket landing guidance, useful for a builder deciding which RL techniques to borrow. In liquid rocket engine transient control, a deep reinforcement learning controller achieved the highest performance compared to carefully tuned open-loop sequences and PID controllers [13]. The same study showed that the learned policy can reach different steady-state operating points and adapt convincingly to changing system parameters [13]. This is a different control problem, engine transient control rather than descent guidance, but it is evidence from the same broad RL-for-rocket-systems literature that a learned controller can beat classical open-loop and PID baselines in at least one rocket subsystem, and it shows an RL controller adapting online to changing system parameters, a property distinct from, but related in spirit to, the noise and parameter-uncertainty robustness reported for the 6-DOF descent guidance policy.
On the RL algorithm-design side, existing approaches to curriculum or task selection in RL typically approximate task differences using agent-centric signals such as regret or value disagreement, but these signals are inherently policy-dependent and sensitive to noise [12]. Causal-Paced Deep Reinforcement Learning (CP-DRL) is proposed as a framework that addresses this limitation by approximating the structural causal model (SCM) difference between tasks using only interaction data [12]. This is general RL methodology, not specific to rocket guidance, but it is relevant if a builder plans to train a guidance policy across a curriculum of increasingly difficult landing scenarios, for instance progressively larger initial dispersions or wind disturbances, and wants a principled, noise-robust way to choose which scenario to train on next rather than relying on regret or value-disagreement signals that the claim states are sensitive to noise.
Finally, on the real-world recovery problem this note is ultimately about, one design paper on retro-propulsive vertical landing of a reusable rocket stage states plainly that one of the challenges lies in the recovery guidance, navigation and control (GNC) strategy and algorithms, in particular those of the powered-landing phase, which must enable a precise landing with low fuel margins and significant dispersions [9]. This is a framing of the problem's difficulty, not a solution or a number, and it applies to full-scale reusable rocket recovery. It is stated here as background for why the guidance question matters at all, independent of scale: the tension between precision, low fuel margins, and significant dispersions is the same tension that any small-scale RL-versus-convex comparison experiment must be designed to probe.
None of these three claims bear directly on the small-scale RL-versus-convex comparison, but each narrows down what a builder should expect to borrow, and from where: control techniques and online-adaptation evidence from engine transient work, curriculum methods from CP-DRL, and problem framing from recovery GNC design.
Limits and open questions
The central limitation is direct: this evidence set contains no experiment in which an RL guidance policy and a classic convex-optimization guidance law are run on the same small-scale rocket, under the same test scenarios, and scored on the same accuracy and fuel metrics. Every quantitative result above belongs to its own paper's vehicle model, benchmark, and baseline, and the numbers cannot be combined into a ranking between the two families of method without going beyond what any single claim states.
A second limitation is scale mismatch. The RL results reported here come from a 6-DOF planetary lander simulation [1], a high-fidelity rocket model [6], asteroid impactor and lunar landing scenarios [8][3], none of which is stated to be a 10 kg, 100 m apogee small-scale rocket. Likewise the convex-optimization results come from Mars powered landing and 3-DoF or 6-DoF formulations [14][4][10], not from a small-scale vehicle. Applying either family's reported numbers to a small-scale rocket is an extrapolation the claims do not support, and a builder must re-run the relevant experiments on the actual vehicle of interest before drawing conclusions.
A third limitation concerns training reliability. Standard RL algorithms, including PPO, SAC, and DSAC, are reported to fail in goal-oriented rocket landing scenarios due to reliance on extensive exploration [6]. This means a builder cannot simply apply an off-the-shelf PPO implementation, as used elsewhere for interplanetary trajectory design [7], and expect it to succeed at landing without a specialised training scheme such as RAJS, or reward shaping choices such as the discount-rate tuning reported for the 6-DOF planetary lander [1].
A fourth limitation concerns robustness claims being scenario-specific. Hardware-in-the-Loop testing for RAJS affirmed real-time feasibility and smoothness on the high-fidelity rocket model tested [6], and this should not be read as evidence for a differently scaled or differently fidelity vehicle. Likewise, the structural sensitivity problem as time-to-go approaches zero, reported for POFGL [5], and the list of endoatmospheric disturbances [5], both apply to the specific guidance law and flight regime discussed there, and a builder must re-verify these behaviours for any new guidance law and vehicle rather than assume they transfer.
A fifth, more general limitation is that convex-optimization guarantees and RL performance reports are not measured on comparable terms even in principle within this evidence set. Convex optimization's advantages are described as deterministic behaviour, global optimality guarantees, and certificates of convergence or infeasibility [14], which are properties of the algorithm's structure, not numbers measured on a test set. RL's reported advantages, accuracy, fuel efficiency, and robustness to noise [1], or success rate on a specific vehicle [6], are empirical numbers from specific test scenarios. A fair comparison would need to measure both families on the same empirical footing, for example landing error and fuel consumed over an identical scenario set, which no claim here provides.
Practical
How to build it, or how to use it
The following procedure is for a team that wants to actually produce the missing head-to-head comparison for a small-scale rocket, using the methods described in the claims above as building blocks. Every design choice below beyond what the claims state (specific parameter values, integrator types) is illustrative only, chosen to make the procedure concrete, and is not asserted as coming from any cited source.
- Define the vehicle and scenario set. Fix the vehicle: 10 kg dry mass, 100 m apogee, with mass, thrust, and aerodynamic properties specified. Define a fixed set of initial conditions (position, velocity, attitude dispersions) that both guidance methods will be tested against, since none of the cited papers share a common benchmark you can reuse directly.
- Build the simulation. Implement rigid-body dynamics for the vehicle, in 3-DoF or 6-DoF depending on which formulation you choose for the classical baseline. No cited claim specifies an integrator or simulation software; choose one appropriate to your accuracy and speed needs and document it explicitly for reproducibility.
- Implement the classical baseline first. Implement lossless convexification (LCvx), often applied to the 3-DoF powered descent guidance problem [4]. If you need 6-DoF, be aware this is reported as harder to solve quickly and reliably, because of the nonlinear and non-convex nature of the problem, the discretization scheme's influence on solution validity, and the reference trajectory's role in determining convergence or divergence [4][14].
- Verify the baseline against known difficulties. Test the convex solver's sensitivity to discretization scheme and to reference-trajectory initialization, since both are named as causes of convergence or divergence [4][14]. If using an Interior Point Method solver, check whether it meets a real-time solve-time budget, as reported for the successive-convexification approach on Mars powered landing [14]. Record solve time and success rate over your scenario set before touching any learned method.
- Choose an RL algorithm and formulate the MDP. Recast the guidance problem as a time-discrete Markov decision process, following the same recasting done for a related stochastic optimal control problem [7]. Use Proximal Policy Optimization (PPO) as a first algorithm, following its use for state-to-thrust mapping in 6-DOF planetary powered descent and landing [1]; be prepared for it to fail on its own in a strict goal-oriented landing task, since standard RL algorithms including PPO are reported to fail here due to exploration difficulty [6].
- If PPO alone fails, add a guided-exploration training scheme. Implement a training scheme in the spirit of Random Annealing Jump Start: a guide policy that navigates the environment for a sampled guide horizon, handing off to an exploration policy for the rest of the episode, with the horizon's upper bound annealing to zero as performance improves [6]. This is the method reported to raise success rate from 8% to 97% on a high-fidelity rocket model [6]; treat that number as evidence the technique works on that vehicle, not as a guarantee for your own.
- Tune the reward structure. Consider using different discount rates for terminal reward versus shaping reward, since this is reported to enhance optimization performance for a 6-DOF planetary lander [1]. Validate this choice independently for your own reward formulation, since the claim reports it for a specific study's reward design.
- Add noise and parameter-uncertainty robustness testing. Run both the trained RL policy and the convex baseline against injected sensor noise and perturbed vehicle parameters, since robustness to noise and parameter uncertainty is a property reported for the 6-DOF RL guidance system [1]. Report success rate and landing error under each perturbation level for both methods, on the same perturbation set, so the comparison is apples-to-apples.
- Measure landing accuracy and fuel use for both methods, side by side. For each of the fixed scenarios from step 1, record final position and velocity error and total propellant consumed, for both the RL policy and the convex baseline. This is the core experiment the surveyed literature does not provide, so design it carefully: same scenarios, same disturbance models, same metrics, same vehicle.
- Consider a hybrid warm-start approach as a third condition. Optionally implement a learned warm-start for the convex solver, in the spirit of T-PDG or T-SCvx, which learn to predict the set of tight or active constraints at the optimal solution and use this prediction to build a reduced-size problem that warm-starts the solver [4]. Compare its solve time against plain LCvx, since T-PDG is reported to improve solution times by up to an order of magnitude compared to LCvx for the 3-DoF minimum-fuel problem [4], and include this hybrid as a third condition alongside pure RL and pure convex optimization.
- Stress-test near touchdown. If using any feedback-style guidance law, check behaviour as time-to-go approaches zero, since the sensitivity of commanded trajectories is reported to increase sharply and tend to infinity in that regime for one such law [5]. Cap or switch guidance mode near touchdown as needed, and document the switch explicitly since it is not itself validated in the cited claim.
- Report results honestly. State the vehicle, scenario set, and metrics used, and do not extrapolate your small-scale results to full-scale rockets or vice versa, since none of the cited results were obtained on a 10 kg, 100 m apogee vehicle. If your RL policy needs Hardware-in-the-Loop testing before flight, note that such testing has been used elsewhere to check real-time feasibility and smoothness for a different, higher-fidelity rocket model [6], and treat any transfer of that result to your smaller vehicle as unverified until you run it yourself.
function pipeline():
baseline_result = run_LCvx(vehicle, scenarios) # per [4]
rl_policy = train_PPO(vehicle_MDP) # per [1],[7]
if rl_policy.success_rate is low:
rl_policy = train_with_guided_exploration(vehicle_MDP) # per [6]
rl_result = evaluate(rl_policy, scenarios)
hybrid_result = run_warm_started_solver(vehicle, scenarios) # per [4], optional
compare(baseline_result, rl_result, hybrid_result)
# this three-way comparison is the missing evidence, not found in any cited claim
Our take
What we would build
We would build a small, fully simulated comparison harness for a 10 kg, 100 m apogee rocket, since the surveyed literature contains no such head-to-head test. In a few weeks, a two-person team could implement 3-DoF rigid-body dynamics for the vehicle; implement lossless convexification (LCvx) as the classical baseline, following the formulation described for the 3-DoF minimum-fuel powered descent guidance problem [4]; and train a PPO-based guidance policy mapping state to thrust, following the mapping approach used for 6-DOF planetary powered descent and landing [1], adding a guided-exploration training scheme in the spirit of Random Annealing Jump Start if plain PPO fails to converge, since standard PPO is reported to fail in goal-oriented landing tasks [6].
We would judge the result on landing position and velocity error and total propellant used, across a fixed set of at least 50 initial-condition scenarios with injected sensor noise and parameter perturbation, comparing the RL policy directly against the LCvx baseline on identical scenarios, since robustness to noise and parameter uncertainty is a property claimed for RL guidance in the literature [1] but never tested against a convex baseline. Success would be a clear, reproducible table of position error, velocity error, and fuel used for both methods across all scenarios, plus solve time or inference time for each.
This would run entirely in simulation on a single workstation with a modern GPU for PPO training, likely under a few hundred dollars of compute given the small vehicle and short episode lengths. It would not require physical hardware, though a natural follow-up, borrowing the matched simulation-and-hardware philosophy demonstrated by the Open Ant platform [15], would be to build a small physical test rig afterward to check whether the simulated ranking between RL and LCvx survives contact with a real vehicle.
Claim record
What this note is based on
- methodsupported
Proximal policy optimization (PPO) is used to learn a policy mapping the lander's estimated state directly to a commanded thrust for each engine.
[1] Deep Reinforcement Learning for Six Degree-of-Freedom Planetary Powered Descent and Landing, abstract DOI 10.48550/arxiv.1810.08719“Future Mars missions will require advanced guidance, navigation, and control algorithms for the powered descent phase to target specific surface locations and achieve pinpoint accuracy (landing error ellipse $<$ 5 m radius). The latter requires both a navigation system capable of…”
- methodsupported
Using different discount rates for terminal and shaping rewards significantly enhances optimization performance.
[1] Deep Reinforcement Learning for Six Degree-of-Freedom Planetary Powered Descent and Landing, abstract DOI 10.48550/arxiv.1810.08719“Future Mars missions will require advanced guidance, navigation, and control algorithms for the powered descent phase to target specific surface locations and achieve pinpoint accuracy (landing error ellipse $<$ 5 m radius). The latter requires both a navigation system capable of…”
- resultsupported
The RL policy results in accurate and fuel-efficient trajectories in a 6-DOF simulation environment.
[1] Deep Reinforcement Learning for Six Degree-of-Freedom Planetary Powered Descent and Landing, abstract DOI 10.48550/arxiv.1810.08719“Future Mars missions will require advanced guidance, navigation, and control algorithms for the powered descent phase to target specific surface locations and achieve pinpoint accuracy (landing error ellipse $<$ 5 m radius). The latter requires both a navigation system capable of…”
- resultsupported
The guidance system demonstrates robustness to noise and system parameter uncertainty.
[1] Deep Reinforcement Learning for Six Degree-of-Freedom Planetary Powered Descent and Landing, abstract DOI 10.48550/arxiv.1810.08719“Future Mars missions will require advanced guidance, navigation, and control algorithms for the powered descent phase to target specific surface locations and achieve pinpoint accuracy (landing error ellipse $<$ 5 m radius). The latter requires both a navigation system capable of…”
- resultsupported
T-PDG improves solution times by up to an order of magnitude compared to lossless convexification (LCvx) for the 3-DoF minimum fuel powered descent guidance problem.
[4] Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance, abstract arXiv:2501.00930v1“This work introduces Transformer-based Successive Convexification (T-SCvx), an extension of Transformer-based Powered Descent Guidance (T-PDG), generalizable for efficient six-degree-of-freedom (DoF) fuel-optimal powered descent trajectory generation. Our approach significantly e…”
- methodsupported
T-SCvx learns to predict the set of tight or active constraints at the optimal control problem's solution, creating a minimal reduced-size problem initialized with only the tight constraints, then uses the solution to warm-start the direct optimization solver.
[4] Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance, abstract arXiv:2501.00930v1“This work introduces Transformer-based Successive Convexification (T-SCvx), an extension of Transformer-based Powered Descent Guidance (T-PDG), generalizable for efficient six-degree-of-freedom (DoF) fuel-optimal powered descent trajectory generation. Our approach significantly e…”
- resultrejected
T-SCvx enables onboard computation of real-time guidance trajectories, demonstrated by a 6-DoF Mars powered landing application problem.
[4] Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance, section Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance“Richard Linares Note: Rockwell International Career Development Professor and Associate Professor, Department of Aeronautics and Astronautics, 125 Massachusetts Avenue. Senior Member AIAA. Affiliation: Department of Aeronautics and Astronautics, Massachusetts Institute of Technol…”
- limitationsupported
6-DoF powered descent guidance is known to be challenging to solve quickly and reliably due to the nonlinear and non-convex nature of the problem, the discretization scheme heavily influencing solution validity, and reference trajectory initialization determining algorithm convergence or divergence.
[4] Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance, section Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance“6-DoF powered descent guidance is known to be challenging to solve quickly and reliably due to the nonlinear and non-convex nature of the problem, the discretization scheme heavily influencing solution validity, and reference trajectory initialization determining algorithm conver…”
- methodsupported
Lossless convexification of nonconvex cost, dynamics, and control constraints is often applied to the 3-DoF powered descent guidance problem.
[4] Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance, section 2 Introduction“For common classes of problems, application of Pontryagin’s Maximum Principle [8] yield analytical solutions, but these methods fall short for trajectory generation as they are applicable to a limited set of mission constraints and objective functions [9, 10, 11, 12]. Moreover, w…”
- methodsupported
A novel online trajectory dispersion control method based on a Parameterized Optimal Feedback Guidance Law (POFGL) is proposed.
[5] Trajectory Dispersion Control for Precision Landing Guidance of Reusable Rockets, abstract arXiv:2504.11894v1“This article is an engineering note, and formal abstract is omitted in accordance with the requirements of the journal. The main idea of this note is as follows. In endoatmospheric landing of reusable rockets, there exist various kinds of disturbances that can induce the trajecto…”
- limitationsupported
As the time-to-go tends to zero, the sensitivity of the generated guidance command trajectories will significantly increase and inevitably tend to infinity.
[5] Trajectory Dispersion Control for Precision Landing Guidance of Reusable Rockets, section 1 Introduction“The explicit guidance method attenuates the effect of disturbances by regenerating feasible and/or optimal trajectories at each guidance period. The representative explicit guidance methods mainly contain E-guidance [1], Apollo powered descent guidance [2], Zero-Effort-Miss/Zero-…”
- factsupported
Endoatmospheric landing is subjected to more disturbing conditions, including engine thrust fluctuation, aerodynamic coefficient uncertainty, atmospheric density perturbation, and wind disturbance.
[5] Trajectory Dispersion Control for Precision Landing Guidance of Reusable Rockets, section 1 Introduction“Precision landing guidance is a critical enabling technology for reusable rocket recovery. Compared with lunar landing [1, 2] and planetary landing [3, 4], endoatmospheric landing is subjected to more disturbing conditions, including engine thrust fluctuation, aerodynamic coeffic…”
- resultsupported
Random Annealing Jump Start (RAJS) elevates the success rate of rocket landing control from 8% with a baseline controller to 97% on a high-fidelity rocket model using RL.
[6] Rocket Landing Control with Random Annealing Jump Start Reinforcement Learning, abstract arXiv:2407.15083v1“Rocket recycling is a crucial pursuit in aerospace technology, aimed at reducing costs and environmental impact in space exploration. The primary focus centers on rocket landing control, involving the guidance of a nonlinear underactuated rocket with limited fuel in real-time. Th…”
- methodsupported
In RAJS, the guide policy navigates the environment for the guide horizon, followed by the exploration policy taking charge to complete remaining steps; the guide horizon is sampled from a uniform distribution with its upper bound annealing to zero based on performance metrics.
[6] Rocket Landing Control with Random Annealing Jump Start Reinforcement Learning, abstract arXiv:2407.15083v1“Rocket recycling is a crucial pursuit in aerospace technology, aimed at reducing costs and environmental impact in space exploration. The primary focus centers on rocket landing control, involving the guidance of a nonlinear underactuated rocket with limited fuel in real-time. Th…”
- limitationsupported
Standard RL algorithms, such as PPO, SAC and DSAC, fail in goal-oriented rocket landing scenarios due to their reliance on extensive exploration; the likelihood of randomly reaching the goal diminishes exponentially over time.
[6] Rocket Landing Control with Random Annealing Jump Start Reinforcement Learning, section I Introduction“RL offers a powerful paradigm to iteratively optimize policies for control problems by maximizing the expected cumulative rewards. It has shown remarkable success in various domains, including video games [1], board games [2], robotics [3], and autonomous driving [4]. In these pr…”
- resultsupported
The RAQResNet model achieved a validation loss approximately 300 times lower than the standard architecture with an equal number of trainable parameters and 50 times lower than the standard architecture with twice the number of trainable parameters.
[2] Optimal Reusable Rocket Landing Guidance: A Cutting-Edge Approach Integrating Scientific Machine Learning and Enhanced Neural Networks, abstract DOI 10.1109/access.2024.3359417“This study presents an innovative approach that utilizes scientific machine learning and two types of enhanced neural networks for modeling a parametric guidance algorithm within the framework of ordinary differential equations to optimize the landing phase of reusable rockets. O…”
- resultsupported
The resulting closed-loop guidance policy from image-based reinforcement meta-learning reaches errors in the order of meters in different scenarios, even when the environment is partially observed.
[3] Image-Based Deep Reinforcement Meta-Learning for Autonomous Lunar Landing, abstract DOI 10.2514/1.a35072“Future exploration and human missions on large planetary bodies (e.g., moon, Mars) will require advanced guidance navigation and control algorithms for the powered descent phase, which must be capable of unprecedented levels of autonomy. The advent of machine learning, and specif…”
- resultsupported
The proposed method is validated through extensive evaluation and Hardware-in-the-Loop testing, affirming the effectiveness, real-time feasibility, and smoothness of the proposed controller.
[6] Rocket Landing Control with Random Annealing Jump Start Reinforcement Learning, section Rocket Landing Control with Random Annealing Jump Start Reinforcement Learning“Additional enhancements, including cascading jump start, refined reward and terminal condition, and action smoothness regulation, further improve policy performance and practical applicability. The proposed method is validated through extensive evaluation and Hardware-in-the-Loop…”
- methodsupported
An open-source implementation of the state-of-the-art algorithm Proximal Policy Optimization is adopted to carry out the training process of a deep neural network.
[7] Reinforcement Learning for Robust Trajectory Design of Interplanetary Missions, abstract DOI 10.2514/1.g005794“This paper investigates the use of reinforcement learning for the robust design of low-thrust interplanetary trajectories in presence of severe uncertainties and disturbances, alternately modeled as Gaussian additive process noise, observation noise, and random errors in the actu…”
- resultsupported
Numerical results show that the guidance system can correctly drive the spacecraft toward the final impact point in more than 98% of the 500 test scenarios.
[8] Image-Based Meta-Reinforcement Learning for Autonomous Guidance of an Asteroid Impactor, abstract DOI 10.2514/1.g006832“This paper focuses on the use of meta-reinforcement learning for the autonomous guidance of a spacecraft during the terminal phase of an impact mission toward a binary asteroid system. The control policy is replaced by a convolutional-recurrent neural network, which is used to ma…”
- factsupported
One of the challenges lies in the recovery GNC strategy and algorithms, in particular those of the powered-landing phase, which must enable a precise landing with low fuel margins and significant dispersions.
[9] Design of the landing guidance for the retro-propulsive vertical landing of a reusable rocket stage, abstract DOI 10.1007/s12567-022-00423-6“Abstract Launcher reusability is the most effective way of reducing access to space costs, but remains a great technical challenge for the European aerospace industry. One of the challenges lies in the recovery GNC strategy and algorithms, in particular those of the powered-landi…”
- resultsupported
Numerical simulations show that the proposed method can find a feasible landing trajectory where the AOA constraint is satisfied and has a better convergence performance compared with the traditional linearization method.
[10] A Convex Programming Method for Rocket Powered Landing With Angle of Attack Constraint, abstract DOI 10.1109/access.2020.2997235“Real time trajectory planning is vital in rocket precision powered landing guidance. Due to the nonconvex angle of attack (AOA) constraint and other constraints, including nonlinear dynamics and thrust constraint, the powered landing trajectory planning problem is highly nonconve…”
- resultsupported
Through numerical experiments on a Lunar rover problem and a 3-degrees-of-freedom Mars powered descent guidance problem, we demonstrate that TOAST outperforms benchmark approaches in terms of both computation times and network prediction constraint satisfaction.
[11] Constraint-Informed Learning for Warm Starting Trajectory Optimization, abstract DOI 10.13140/rg.2.2.35597.92646“Future spacecraft and surface robotic missions require increasingly capable autonomy stacks for exploring challenging and unstructured domains, and trajectory optimization will be a cornerstone of such autonomy stacks. However, the nonlinear optimization solvers required remain t…”
- limitationsupported
Existing approaches typically approximate task differences using agent-centric signals, such as regret or value disagreement, but these are inherently policy-dependent and sensitive to noise.
[12] Causal-Paced Deep Reinforcement Learning, section 1 Introduction“Just as a child first learns to crawl before walking and running, intelligent behavior in complex environments is rarely acquired in a single leap. Instead, learning unfolds through a gradual accumulation of simpler skills that scaffold more advanced capabilities. This principle …”
- methodsupported
We propose Causal-Paced Deep Reinforcement Learning (CP-DRL), a framework that addresses this limitation by approximating the SCM difference between tasks using only interaction data.
[12] Causal-Paced Deep Reinforcement Learning, section 1 Introduction“While SCM-based comparison provides a principled way to quantify task differences, it relies on access to the true causal structure, which is rarely available in realistic RL environments (Zanga et al., 2022). In this work, we propose Causal-Paced Deep Reinforcement Learning (CP-…”
- resultsupported
Compared to carefully tuned open-loop sequences and PID controllers, the deep reinforcement learning controller achieves the highest performance.
[13] A Reinforcement Learning Approach for Transient Control of Liquid Rocket Engines, abstract DOI 10.1109/taes.2021.3074134“Nowadays, liquid rocket engines use closed-loop control at most near-steady operating conditions. The control of the transient phases is traditionally performed in open loop due to highly nonlinear system dynamics. This situation is unsatisfactory, in particular for reusable engi…”
- resultsupported
It is shown that the learned policy can reach different steady-state operating points and convincingly adapt to changing system parameters.
[13] A Reinforcement Learning Approach for Transient Control of Liquid Rocket Engines, abstract DOI 10.1109/taes.2021.3074134“Nowadays, liquid rocket engines use closed-loop control at most near-steady operating conditions. The control of the transient phases is traditionally performed in open loop due to highly nonlinear system dynamics. This situation is unsatisfactory, in particular for reusable engi…”
- limitationsupported
Solving this problem quickly and reliably is challenging because (a) it is nonlinear and non-convex, (b) the validity of the solution is heavily dependent on the accuracy of the discretization scheme, and (c) it can be difficult to select a suitable reference trajectory to initialize an iterative solution process.
[14] Successive Convexification for 6-DoF Mars Rocket Powered Landing with Free-Final-Time, abstract arXiv:1802.03827v1“In this paper, we employ successive convexification to solve the minimum-time 6-DoF rocket powered landing problem. The contribution of this paper is the development and demonstration of a free-final-time problem formulation that can be solved iteratively using a successive conve…”
- resultsupported
Through the use of Interior Point Method (IPM) solvers, this sequence can be solved quickly and reliably, thus enabling higher fidelity real-time guidance for rocket powered landings on Mars.
[14] Successive Convexification for 6-DoF Mars Rocket Powered Landing with Free-Final-Time, section Successive Convexification for 6-DoF Mars Rocket Powered Landing with Free-Final-Time“To deal with these issues, our algorithm (a) uses successive convexification to eliminate non-convexities, (b) computes the discrete linear-time-variant system matrices to ensure that the converged solution perfectly satisfies the original nonlinear dynamics, and (c) can be initi…”
- factsupported
Convex optimization has been considered a prime candidate for on-board autonomous guidance applications due to its deterministic behavior, its global optimality guarantees, its ability to provide certificates of convergence and infeasibility, and the availability of efficient interior point method (IPM) algorithms.
[14] Successive Convexification for 6-DoF Mars Rocket Powered Landing with Free-Final-Time, section 1 Introduction“Solving autonomous optimal landing guidance problems quickly and reliably is challenging for three reasons. First, they are nonlinear and non-convex. Second, for numerical implementations, the validity of the solution is heavily dependent on the accuracy of the discretization sch…”
- methodsupported
The stochastic optimal control problem is recast as a time-discrete Markov decision process to comply with the standard formulation of reinforcement learning.
[7] Reinforcement Learning for Robust Trajectory Design of Interplanetary Missions, abstract DOI 10.2514/1.g005794“This paper investigates the use of reinforcement learning for the robust design of low-thrust interplanetary trajectories in presence of severe uncertainties and disturbances, alternately modeled as Gaussian additive process noise, observation noise, and random errors in the actu…”
- factsupported
The Open Ant is a physical variant of the commonly used Gymnasium Ant environment, along with a simulation.
[15] The Open Ant: A Robot Platform for Reinforcement Learning Research, section (top)“The Open Ant: A Robot Platform for Reinforcement Learning Research arXiv is now an independent nonprofit! Learn more × License: CC BY 4.0 arXiv:2607.18488v1 [cs.RO] 20 Jul 2026 The Open Ant: A Robot Platform for Reinforcement Learning Research Elena Sorina Lupu, Patrick Spieler, …”
- resultsupported
Competent walking policies can be learned from scratch in approximately one hour directly from the physical robot’s experience for SARSA(λ) and Soft Actor-Critic (SAC).
[15] The Open Ant: A Robot Platform for Reinforcement Learning Research, section (top)“The Open Ant: A Robot Platform for Reinforcement Learning Research arXiv is now an independent nonprofit! Learn more × License: CC BY 4.0 arXiv:2607.18488v1 [cs.RO] 20 Jul 2026 The Open Ant: A Robot Platform for Reinforcement Learning Research Elena Sorina Lupu, Patrick Spieler, …”
- resultsupported
Policies learned in simulation transfer to reality for the Open Ant platform.
[15] The Open Ant: A Robot Platform for Reinforcement Learning Research, section (top)“The Open Ant: A Robot Platform for Reinforcement Learning Research arXiv is now an independent nonprofit! Learn more × License: CC BY 4.0 arXiv:2607.18488v1 [cs.RO] 20 Jul 2026 The Open Ant: A Robot Platform for Reinforcement Learning Research Elena Sorina Lupu, Patrick Spieler, …”
- factsupported
The Open Ant robot body is designed to look like the widely used Gymnasium Ant environment.
[15] The Open Ant: A Robot Platform for Reinforcement Learning Research, section 1 Introduction“Even in situations where adequate lab resources and expertise are available, the long delay caused by the assembly of the robot and troubleshooting before the first successful experiment can exhaust a considerable portion of a researcher’s typical residency. Consequently, experts…”
- factsupported
The Open Ant robot is designed to be built and maintained by AI researchers without backgrounds in robotics engineering.
[15] The Open Ant: A Robot Platform for Reinforcement Learning Research, section 1 Introduction“Even in situations where adequate lab resources and expertise are available, the long delay caused by the assembly of the robot and troubleshooting before the first successful experiment can exhaust a considerable portion of a researcher’s typical residency. Consequently, experts…”
- methodsupported
The Open Ant platform uses an overhead webcam to track fiducial markers to compute reward signals and the heading vector of the ant.
[15] The Open Ant: A Robot Platform for Reinforcement Learning Research, section 1 Introduction“Even in situations where adequate lab resources and expertise are available, the long delay caused by the assembly of the robot and troubleshooting before the first successful experiment can exhaust a considerable portion of a researcher’s typical residency. Consequently, experts…”
- methodsupported
The robot is connected by cables to AC power and to an external computer where the agent is running.
[15] The Open Ant: A Robot Platform for Reinforcement Learning Research, section 1 Introduction“Even in situations where adequate lab resources and expertise are available, the long delay caused by the assembly of the robot and troubleshooting before the first successful experiment can exhaust a considerable portion of a researcher’s typical residency. Consequently, experts…”
- factsupported
The Open Ant comes with a MuJoCo simulation, which can be used to learn competent policies.
[15] The Open Ant: A Robot Platform for Reinforcement Learning Research, section 1 Introduction“Even in situations where adequate lab resources and expertise are available, the long delay caused by the assembly of the robot and troubleshooting before the first successful experiment can exhaust a considerable portion of a researcher’s typical residency. Consequently, experts…”
- factsupported
Gym-μRTS is a fast-to-run RL environment for full-game RTS research.
[17] Gym-$μ$RTS: Toward Affordable Full Game Real-time Strategy Games Research with Deep Reinforcement Learning, abstract arXiv:2105.13807v3“In recent years, researchers have achieved great success in applying Deep Reinforcement Learning (DRL) algorithms to Real-time Strategy (RTS) games, creating strong autonomous agents that could defeat professional players in StarCraft~II. However, existing approaches to tackle fu…”
References
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- [14]Michael Szmuk, Behcet Acikmese. Successive Convexification for 6-DoF Mars Rocket Powered Landing with Free-Final-Time. arXiv, 2018.
- [15]Elena Sorina Lupu, Patrick Spieler, Khurram Javed, Kris De Asis, John D. Martin, Martha Steenstrup, Joseph Modayil. The Open Ant: A Robot Platform for Reinforcement Learning Research. arXiv, 2026.
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- [17]Shengyi Huang, Santiago Ontañón, Chris Bamford, Lukasz Grela. Gym-$μ$RTS: Toward Affordable Full Game Real-time Strategy Games Research with Deep Reinforcement Learning. arXiv, 2021.
- [18]Abdul Wahab, Raksha Kumaraswamy, Martha White. Value Bonuses using Ensemble Errors for Exploration in Reinforcement Learning. arXiv, 2026.