Solvability conditions and design for state synchronization of multi-agent systems

Antonie Arij Stoorvogel, Ali Saberi, Meirong Zhang, Zhenwei Liu

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    Abstract

    This paper derives conditions on the agents for the existence of a protocol which achieves synchronization of homogeneous multi-agent systems (MAS) with partial-state coupling, where the communication network is directed and weighted. These solvability conditions are necessary and sufficient for single input agents and sufficient for multi input agents. The solvability conditions reveal that the synchronization problem is primarily solvable for two classes of agents. This first class consists of at most weakly unstable agents (i.e. agents have all eigenvalues in the closed left half plane) and the second class consists of at most weakly non-minimum-phase agents (i.e. agents have all zeros in the closed left half plane). Under our solvability condition, we provide in this paper a design, utilizing H∞ optimal control technique.
    Original languageEnglish
    Title of host publicationAmerican Control Conference, ACC 2017
    Subtitle of host publicationSheraton Seattle Hotel, May 24-26, 2017, Seattle, USA
    PublisherIEEE
    Pages4675-4680
    ISBN (Electronic)978-1-5090-5992-8
    ISBN (Print)978-1-5090-4583-9
    DOIs
    Publication statusPublished - Jul 2017
    Event2017 American Control Conference, ACC 2017 - Seattle, United States
    Duration: 24 May 201726 May 2017
    http://acc2017.a2c2.org/

    Conference

    Conference2017 American Control Conference, ACC 2017
    Abbreviated titleACC
    CountryUnited States
    CitySeattle
    Period24/05/1726/05/17
    Internet address

    Keywords

    • Synchronization likelihood
    • Electrical engineering
    • Protocols
    • Multi-agent systems
    • Eigenvalues and eigenfunctions
    • Laplace equations
    • Couplings

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