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Reinforcement-Learning-Based Disturbance Rejection Control for Uncertain Nonlinear Systems.

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    This study introduces a novel reinforcement learning (RL) control method for uncertain nonlinear systems. The approach effectively rejects disturbances and converges to optimal policies without needing restrictive conditions.

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    Area of Science:

    • Control Theory
    • Nonlinear Systems
    • Machine Learning

    Background:

    • Uncertain nonlinear systems pose significant challenges for control design.
    • Traditional methods often struggle with complex dynamics and external disturbances.
    • Nonsimple nominal models complicate disturbance rejection and optimal policy approximation.

    Purpose of the Study:

    • To develop a reinforcement-learning-based disturbance rejection control strategy.
    • To address uncertainties and nonsimple nominal models in nonlinear systems.
    • To achieve practical convergence of system states and optimal policies.

    Main Methods:

    • An extended state observer (ESO) is employed to estimate system states and total uncertainty.
    • Real-time control compensation for total uncertainty is performed.
    • An experience-based reinforcement learning (RL) technique is used for online optimal policy approximation.

    Main Results:

    • The proposed method demonstrates practical convergence of the system state to the origin.
    • The developed policy converges to the ideal optimal policy.
    • The framework successfully avoids the need for the persistence of excitation (PE) condition.

    Conclusions:

    • The RL-based control with ESO offers an effective solution for uncertain nonlinear systems.
    • The method provides robust disturbance rejection and optimal control policy.
    • The absence of the PE condition broadens the applicability of the technique.