Solvability conditions and design for H∞ & H2 almost state synchronization of homogeneous multi-agent systems

Antonie Arij Stoorvogel, Ali Saberi, Meirong Zhang (Corresponding Author), Zhenwei Liu

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    This paper studies the H∞ and H2 almost state synchronization problem for homogeneous multi-agent systems with general linear agents affected by external disturbances and with a directed communication topology. Agents are connected via diffusive full-state coupling or diffusive partial-state coupling. A necessary and sufficient condition is developed for the solvability of the H∞ and H2 almost state synchronization problem. Moreover, a family of protocols based on either an algebraic Riccati equation (ARE) method or a directed eigen structure assignment method are developed such that the impact of disturbances on the network disagreement dynamics, expressed in terms of the H∞ and H2 norm of the corresponding closed-loop transfer function, is reduced to any arbitrarily small value. The protocol for full-state coupling is static, while for partial-state coupling it is dynamic.
    Original languageEnglish
    Pages (from-to)36-48
    Number of pages13
    JournalEuropean journal of control
    Volume46
    Early online date6 Aug 2018
    DOIs
    Publication statusPublished - 1 Mar 2019

    Keywords

    • Distributed control
    • H-infinity and H-2 almost state synchronization
    • Multi-agent systems

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