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A New Neural Dynamic Learning Framework for Discrete-Time Strict-Feedback Systems: Internal Interaction-Based Weight

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    This study introduces a novel learning control (LC) framework for uncertain systems. It enables neural network weights to converge to a single constant, improving storage and robustness.

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    Area of Science:

    • Control Systems Engineering
    • Artificial Intelligence
    • Neural Networks

    Background:

    • Uncertain discrete-time strict-feedback systems pose challenges for traditional control methods.
    • Existing learning control (LC) frameworks struggle with weight convergence in predictive models.

    Purpose of the Study:

    • To develop an internal interaction-based dynamic learning control (LC) framework for uncertain discrete-time strict-feedback systems.
    • To address the issue of divergent neural weight convergence in predictive control models.

    Main Methods:

    • The original system is transformed into an n-step-ahead predictive model.
    • The predictive model is decomposed into n one-step-ahead subsystems (agents).
    • Distributed cooperative weight adaptive laws are designed using an interconnection topology.

    Main Results:

    • A novel internal weight interaction-based neural dynamic LC framework is proposed.
    • The framework ensures ultimate uniform boundedness and excellent control performance.
    • Estimated weights converge to a unique ideal constant, not multiple different constants.

    Conclusions:

    • The developed LC framework enhances knowledge storage and utilization efficiency.
    • It improves the robustness of control systems with uncertain dynamics.
    • Simulation results validate the proposed framework's effectiveness and benefits.