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Zbl 1180.93005
Seo, Jin Heon; Shim, Hyungbo; Back, Juhoon
Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach. (English)
[J] Automatica 45, No. 11, 2659-2664 (2009). ISSN 0005-1098

Summary: We study the consensus (and synchronization) problem for multi-agent linear dynamic systems. All the agents have identical MIMO linear dynamics which can be of any order, and only the output information of each agents is delivered throughout the communication network. It is shown that consensus is reached if there exists a stable compensator which simultaneously stabilizes $N - 1$ systems in a special form, where $N$ is the number of agents. We show that there exists such a compensator under a very general condition. Finally, the consensus value is characterized as a function of initial conditions with stable compensators in place.

MSC 2000:: *93A14 Decentralized systems
93B50 Synthesis problems
90B18 Communication networks
93C05 Linear control systems

Keywords: multi-agent systems; consensus; output feedback; low gain feedback

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Zentralblatt MATH Berlin [Germany]