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    This study introduces fuzzy control for complex nonlinear systems, using command filtering to manage controller derivatives and ensure system signal boundedness for improved stability.

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    Area of Science:

    • Control Engineering
    • Nonlinear System Dynamics
    • Fuzzy Logic Systems

    Background:

    • Existing control methods struggle with uncertain multi-input multi-output (MIMO) nonlinear systems, particularly those with input saturation.
    • The complexity of virtual controller derivatives in traditional approaches can lead to computational challenges.

    Purpose of the Study:

    • To design a robust command filtering-based fuzzy control strategy for uncertain MIMO nonlinear systems with input saturation.
    • To address the computational complexity arising from derivative calculations in virtual controllers.
    • To enhance system stability by ensuring all signals remain bounded.

    Main Methods:

    • Implementation of command filtering to mitigate the explosion of complexity associated with virtual controller derivatives.
    • Utilization of fuzzy logic systems for approximating the unknown nonlinear functions within the MIMO systems.
    • Incorporation of an error compensation mechanism to overcome limitations of the dynamics surface approach.

    Main Results:

    • The proposed control method guarantees the boundedness of all system signals, ensuring overall system stability.
    • Demonstration of the effectiveness and advantages of the developed control strategy through a simulation example.

    Conclusions:

    • The command filtering-based fuzzy control approach provides a viable solution for stabilizing uncertain MIMO nonlinear systems with input saturation.
    • The method effectively manages system complexity and enhances robustness, as validated by simulation results.