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    Summary
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    This study introduces a novel control approach for nonlinear systems with input constraints. The sliding flexible prescribed performance boundary-guided reinforcement learning (SFPPB-RL) method enhances control performance and safety.

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    Area of Science:

    • Control Systems Engineering
    • Artificial Intelligence
    • Nonlinear Dynamics

    Background:

    • Input-constrained nonlinear systems (ICNSs) present significant control challenges.
    • Existing prescribed performance control (PPC) methods often require parameter tuning and may compromise initial performance.
    • Balancing input constraints with desired performance is crucial for practical applications.

    Purpose of the Study:

    • To develop a novel sliding flexible prescribed performance boundary-guided reinforcement learning (SFPPB-RL) control approach for ICNSs.
    • To overcome limitations of existing PPC methods regarding parameter tuning and initial error handling.
    • To achieve a balance between input safety and control performance.

    Main Methods:

    • Design of a sliding flexible prescribed performance boundary (PPB) that adaptively adjusts to initial errors and dynamically modifies constraint relaxation.
    • Integration of an auxiliary system to manage the coupling between input and performance constraints.
    • Combination of an identifier-critic-actor structure-based reinforcement learning (RL) strategy with backstepping techniques.

    Main Results:

    • The proposed SFPPB-RL approach eliminates the need for repeated parameter debugging.
    • It addresses the trade-off between initial transient performance and error requirements.
    • The method effectively balances input safety and control performance, minimizing a cost function.

    Conclusions:

    • The developed SFPPB-RL control algorithm ensures input safety and prescribed performance indicators for ICNSs.
    • Simulation results validate the effectiveness of the proposed approach.
    • This method offers an adaptive and robust solution for complex control problems.