H∞ & H2 almost state synchronization with full-state coupling for homogeneous multi-agent systems

Antonie Arij Stoorvogel, Ali Saberi, Meirong Zhang, Francesco Acciani

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    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 a directed communication topology. Agents are connected via diffusive full-state coupling, i.e. agents are coupled through states. A necessary and sufficient condition is developed for the solvability of the H∞ and H2 almost state synchronization problem. Moreover, a family of static protocols 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 design is based on two methods: algebraic Riccati equation (ARE) or asymptotic time-scale eigenstructure assignment (ATEA).
    Original languageEnglish
    Pages6009-6014
    Number of pages6
    DOIs
    Publication statusPublished - 12 Dec 2017
    Event56th IEEE Conference on Decision and Control, CDC 2017 - Melbourne Convention Center, Melbourne, Australia
    Duration: 12 Dec 201715 Dec 2017
    Conference number: 56
    http://cdc2017.ieeecss.org/

    Conference

    Conference56th IEEE Conference on Decision and Control, CDC 2017
    Abbreviated titleCDC
    CountryAustralia
    CityMelbourne
    Period12/12/1715/12/17
    Internet address

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