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    This study addresses H∞ output consensus for multiagent systems facing Markov jumps and disturbances. The research develops an output feedback controller ensuring agents achieve consensus with guaranteed H∞ performance.

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    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Stochastic Systems

    Background:

    • Multiagent systems (MAS) are crucial for distributed control and coordination.
    • Achieving consensus (agreement) in MAS is a fundamental challenge, especially with system uncertainties and external factors.
    • H∞ control aims to minimize the impact of disturbances on system performance.

    Purpose of the Study:

    • Investigate the H∞ output consensus problem for multiagent systems.
    • Address challenges posed by Markov jumps, external disturbances, and network uncertainties.
    • Develop a robust output feedback control strategy for both continuous-time and discrete-time systems.

    Main Methods:

    • Utilized a hidden Markov model to represent system dynamics with uncertainties.
    • Designed an output feedback controller based on the hidden Markov model.
    • Transformed the original system into a reduced-order error dynamics system.
    • Employed a Lyapunov function to derive sufficient conditions for consensus.

    Main Results:

    • Sufficient conditions were developed to guarantee H∞ output consensus in the mean-square sense.
    • The proposed controller ensures agents achieve consensus despite Markov jumps and disturbances.
    • The approach is validated for both continuous-time and discrete-time multiagent systems.
    • Simulation results demonstrate the effectiveness of the developed control strategies.

    Conclusions:

    • The proposed output feedback control strategy effectively achieves H∞ output consensus for the considered multiagent systems.
    • The methodology provides a robust solution for systems with Markov jumps and external disturbances.
    • The findings contribute to the advancement of robust control for complex networked systems.