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    Area of Science:

    • Control Systems Engineering
    • Artificial Intelligence
    • Nonlinear Dynamics

    Background:

    • Nonlinear systems present significant control challenges due to their complex dynamics.
    • Existing control methods often struggle with approximation accuracy and robustness.
    • Recurrent neural networks and fuzzy logic offer potential for enhanced nonlinear control.

    Purpose of the Study:

    • To design a novel fuzzy double hidden layer recurrent neural network (FDHLRNN) controller for nonlinear systems.
    • To integrate FDHLRNN with terminal sliding-mode control (TSMC) for improved performance.
    • To enhance nonlinear approximation accuracy and dynamic control capabilities.

    Main Methods:

    • Developed a fully regulated FDHLRNN by combining fuzzy neural networks (FNN) and radial basis function neural networks (RBF NN).
    • Incorporated outer layer feedback to boost dynamic approximation ability.
    • Applied FDHLRNN with TSMC to approximate the nonlinear sliding-mode equivalent control term, reducing switching gain.

    Main Results:

    • The proposed FDHLRNN demonstrated superior nonlinear approximation accuracy.
    • FDHLRNN with TSMC achieved faster convergence speeds compared to traditional methods.
    • Simulations and hardware experiments with an active power filter confirmed robust performance and feasibility.

    Conclusions:

    • The FDHLRNN controller offers significant advantages in accuracy and dynamic approximation for nonlinear systems.
    • The integration of FDHLRNN with TSMC provides robust and efficient control solutions.
    • The method is validated for practical applications, including active power filtering.