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    This study introduces an adaptive reinforcement learning (RL) method using a novel observer for systems with uncertain dynamics. It achieves optimal control policy convergence without strict excitation conditions.

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    Area of Science:

    • Control Systems Engineering
    • Machine Learning
    • Adaptive Systems

    Background:

    • Systems with uncertain drift dynamics pose significant control challenges.
    • Traditional reinforcement learning (RL) often requires persistent excitation for convergence.
    • Accurate state and parameter estimation is crucial for effective control.

    Purpose of the Study:

    • To develop an adaptive observation-based reinforcement learning (RL) approach for systems with uncertain drift dynamics.
    • To design a concurrent learning adaptive extended observer (CL-AEO) for joint state and parameter estimation.
    • To achieve optimal control policy approximation without the need for persistence of excitation (PE).

    Main Methods:

    • A novel two-time-scale concurrent learning adaptive extended observer (CL-AEO) was developed.
    • The CL-AEO estimates system state and parameters without requiring state derivative calculations.
    • An experience-based RL scheme was implemented using CL-AEO outputs for online policy approximation.

    Main Results:

    • The CL-AEO successfully estimates system states and parameters under uncertain dynamics.
    • The developed RL approach demonstrated practical convergence of system states to the origin.
    • The control policy approximated the ideal optimal policy without the persistence of excitation (PE) condition.

    Conclusions:

    • The proposed adaptive observation-based RL method is effective for systems with uncertain drift dynamics.
    • The concurrent learning adaptive extended observer (CL-AEO) relaxes excitation conditions for parameter estimation.
    • The methodology offers a superior approach for achieving optimal control in complex systems.