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Updated: Jan 19, 2026

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Finite-Time Asynchronous Control for Nonlinear Markov Jump Distributed Parameter Systems via Quantized Fuzzy

Xiaona Song, Mi Wang, Choon Ki Ahn

    IEEE Transactions on Cybernetics
    |September 11, 2019
    PubMed
    Summary

    This study presents a novel asynchronous output-feedback control for nonlinear Markov jump distributed parameter systems. The approach ensures finite-time boundedness and disturbance attenuation, validated through simulations.

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    Area of Science:

    • Control Systems Engineering
    • Systems Theory
    • Nonlinear Dynamics

    Background:

    • Nonlinear Markov jump distributed parameter systems present significant control challenges.
    • Asynchronous events and limited communication resources are common in real-world applications.
    • Existing control methods may not adequately address these complexities.

    Purpose of the Study:

    • To design an asynchronous output-feedback control strategy for nonlinear Markov jump distributed parameter systems.
    • To develop stability criteria ensuring finite-time boundedness and disturbance attenuation.
    • To validate the proposed control approach via simulation.

    Main Methods:

    • Representation of systems using Takagi-Sugeno fuzzy models and sector nonlinearity.
    • Incorporation of asynchronous quantizers to manage communication resources.
    • Application of Lyapunov direct method and inequality techniques.
    • Derivation of stability criteria in the form of spatial differential linear matrix inequalities.

    Main Results:

    • Novel stability criteria were established for the considered systems.
    • The proposed control design guarantees finite-time boundedness.
    • The \mathcal{H}_\infty disturbance attenuation performance was achieved.
    • Simulation results confirmed the effectiveness of the developed approach.

    Conclusions:

    • The developed asynchronous output-feedback control is effective for nonlinear Markov jump distributed parameter systems.
    • The approach successfully addresses challenges posed by asynchronous quantizers and system nonlinearities.
    • The established stability criteria provide a robust framework for control design in such systems.