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Value-Regularized Reinforcement Learning for Model Predictive Control of Autonomous Mobile Robots Under Stochastic
Changyuan Yu1, Weiguo Zhang1, Qi Li1
1Xi'an Institute of Applied Optics, Xi'an 710065, China.
Sensors (Basel, Switzerland)
|July 28, 2026
Summary
Value-regularized Reinforcement Learning-based Model Predictive Control (VR-RLMPC) enhances robot control by stabilizing performance under model mismatch. This novel approach improves settling times and reduces performance degradation compared to traditional methods.
Area of Science:
- Robotics
- Control Systems
- Artificial Intelligence
Background:
- Autonomous mobile robots require robust control for reliable operation.
- Model Predictive Control (MPC) is challenged by process disturbances and model mismatch.
- Reinforcement Learning-based Model Predictive Control (RL-MPC) offers adaptive control but can be sensitive to nominal parameters.
Purpose of the Study:
- To introduce a novel control strategy, value-regularized RL-MPC (VR-RLMPC), to improve the robustness of autonomous robot control.
- To enhance RL-MPC by incorporating isotropic state regularization into the stage cost without increasing computational complexity.
- To evaluate the performance of VR-RLMPC against RL-MPC and other baselines under various model mismatch conditions.
Main Methods:
- Introduced isotropic state regularization into the RL-MPC stage cost, creating VR-RLMPC.
- Utilized Lyapunov-drift analysis to establish theoretical performance bounds under specific assumptions.
- Conducted simulations on linear and nonlinear nonholonomic vehicle systems to compare VR-RLMPC with RL-MPC and temporal-difference baselines.
Main Results:
- VR-RLMPC demonstrated approximately 25% lower settling-step indices compared to RL-MPC.
- Worst-case performance degradation for VR-RLMPC was 2.8%, significantly lower than conventional MPC baselines (25-49%).
- VR-RLMPC outperformed a stochastic temporal-difference baseline in nominal settings.
Conclusions:
- VR-RLMPC offers improved robustness and performance for autonomous robot control, especially under model mismatch.
- The method effectively reduces settling times and performance degradation without added online optimization complexity.
- VR-RLMPC presents a promising advancement for reliable autonomous systems operating in uncertain environments.
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