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Asynchronous Event-Triggered Output-Feedback Control of Singular Markov Jump Systems.

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    This study presents an asynchronous event-triggered output-feedback controller for discrete-time singular Markov jump systems. It uses a hidden Markov model and Lyapunov methods to ensure stability and H-infinity performance, reducing communication load.

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    Area of Science:

    • Control Systems Engineering
    • Stochastic Systems Theory
    • Networked Control Systems

    Background:

    • Discrete-time singular Markov jump systems (MJSs) present challenges in mode estimation and state observation.
    • Practical systems often suffer from asynchronous mode detection and limited communication bandwidth.

    Purpose of the Study:

    • To design an asynchronous event-triggered output-feedback controller for discrete-time singular MJSs.
    • To address practical limitations of full state observation and asynchronous mode detection.
    • To reduce communication burden in networked control systems.

    Main Methods:

    • Utilized a hidden Markov model (HMM) for asynchronous mode estimation.
    • Employed an output-feedback control scheme due to difficulties in obtaining the full state.
    • Developed an HMM-based event-triggered mechanism to minimize data transmission.
    • Applied the Lyapunov functional technique to derive stability conditions.
    • Formulated controller design as a linear-matrix-inequality (LMI)-based optimization problem.

    Main Results:

    • Established sufficient conditions for the stochastic admissibility of the closed-loop system.
    • Ensured a prescribed H-infinity performance index for the MJS.
    • Demonstrated the effectiveness of the proposed asynchronous event-triggered output-feedback controller through two examples.

    Conclusions:

    • The developed controller effectively manages asynchronous events and output feedback in singular MJSs.
    • The HMM-based event-triggered approach successfully reduces communication load while maintaining system performance.
    • The LMI-based design procedure provides a practical method for controller synthesis.