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    This study addresses cooperative output regulation for discrete-time multiagent systems with changing modes. Novel asynchronous control laws are developed using linear matrix inequalities for improved system performance.

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    Area of Science:

    • Control Systems Engineering
    • Stochastic Systems Theory
    • Networked Systems

    Background:

    • Investigates cooperative output regulation for discrete-time heterogeneous multiagent Markov jump systems.
    • Addresses challenges in systems with asynchronous modes and limited exosystem communication.

    Purpose of the Study:

    • To develop novel asynchronous control laws for cooperative output regulation in multiagent Markov jump systems.
    • To present algorithms for control parameter computation using linear matrix inequalities.
    • To explore optimal synchronous control laws for specific system configurations.

    Main Methods:

    • Employs hidden Markov models to represent asynchronous system modes.
    • Utilizes the jumping regulator equation for asynchronous control law construction.
    • Applies linear matrix inequalities for control parameter derivation.
    • Uses stochastic dynamic programming for optimal synchronous control.

    Main Results:

    • Presents two cases: full exosystem accessibility and partial accessibility.
    • Develops asynchronous control laws and algorithms for parameter computation.
    • Derives optimal synchronous/mode-dependent control laws as a special case.
    • Demonstrates the effectiveness of the proposed methods through an example.

    Conclusions:

    • The proposed methods effectively address cooperative output regulation in complex multiagent systems.
    • The developed asynchronous control laws offer a robust solution for systems with mode uncertainties.
    • The study provides a framework for designing controllers for heterogeneous multiagent Markov jump systems.