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Feedback control systems01:26

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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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Control of Eating Behavior Using a Novel Feedback System
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Small-Gain Technique-Based Adaptive NN Control for Switched Pure-Feedback Nonlinear Systems.

Lijun Long, Tian Si

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    |July 12, 2018
    PubMed
    Summary

    This study presents adaptive neural network (NN) control for uncertain nonlinear systems. The proposed method ensures system stability and accurate tracking under arbitrary switchings, validated with examples.

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    Area of Science:

    • Control Systems Engineering
    • Nonlinear Dynamics
    • Artificial Intelligence

    Background:

    • Nonlinear systems with nonaffine and pure-feedback structures present significant control challenges.
    • Switched systems introduce complexities in stability analysis and controller design.

    Purpose of the Study:

    • To develop an adaptive neural network (NN) tracking control strategy for nonaffine switched pure-feedback uncertain nonlinear systems.
    • To establish a sufficient and necessary condition for the solvability of this control problem.

    Main Methods:

    • Utilized common Lyapunov function (CLF) method, backstepping, input-to-state stability analysis, and small-gain techniques.
    • Developed a small-gain technique-based adaptive NN control scheme to circumvent CLF construction difficulties.
    • Designed adaptive NN controllers for individual subsystems.

    Main Results:

    • Derived a condition for the control problem's solvability.
    • Guaranteed semi-global uniform ultimate boundedness of all closed-loop system signals under arbitrary switchings.
    • Ensured tracking error convergence to a small neighborhood of the origin.

    Conclusions:

    • The proposed adaptive NN control scheme effectively addresses tracking control for complex nonlinear switched systems.
    • The method demonstrates robustness against arbitrary switchings and system uncertainties.
    • Validated through simulation examples, including a continuously stirred tank reactor system.