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Coordination Control for Uncertain Networked Systems Using Interval Observers.

Xiaoling Wang, Xiaofan Wang, Housheng Su

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    Summary
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    This study introduces a novel distributed interval observer for uncertain networked systems, enabling agents to achieve coordinated control using only local information. The method ensures state estimation and coordinated behavior despite disturbances and uncertainties.

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    Area of Science:

    • Control Systems Engineering
    • Networked Systems Theory
    • Distributed Observer Design

    Background:

    • Networked systems face challenges with uncertain disturbances and initial states.
    • Distributed control requires agents to coordinate using local information.

    Purpose of the Study:

    • To develop a distributed interval observer for linear time-invariant networked systems with uncertainties.
    • To design a coordination control algorithm based on the interval observer.
    • To address the limitations of existing methods by removing cooperativity premises.

    Main Methods:

    • Construction of a distributed interval observer using local and neighbor information.
    • Application of cooperativity theory to prove state estimation and coordination.
    • Introduction of time-varying coordinate transformation for a novel interval observer.
    • Development of a new interval-observer-based control algorithm.

    Main Results:

    • The interval observer successfully estimates piecewise states for each agent.
    • The interval-observer-based control algorithm achieves coordinated behavior in uncertain systems.
    • The novel interval observer eliminates the need for cooperativity on system matrices.
    • Real-time state bounding for all agents is achieved with the new method.

    Conclusions:

    • The proposed distributed interval observer and control algorithm effectively manage coordination in uncertain networked systems.
    • The novel observer design offers improved robustness and applicability by relaxing system constraints.
    • Numerical simulations validate the theoretical findings and the effectiveness of the proposed approach.