Quantised scaled consensus of linear multiagent systems on faulty networks

Bilal J. Karaki and Magdi S. Mahmoud

International Journal of Systems Science, 2021, vol. 52, issue 8, 1692-1706

Abstract: In this paper, the practical mean-square scaled-consensus problem of multiagent systems is studied. Higher-order general linear dynamics is investigated, where all agents are subject to faults or denial of service attacks (DoS). The considered network comprises agents taking quantised states under undirected communication channels. Different from the existing works, no strict conditions have been imposed on the eigenvalues of the agents' state matrix. First, we propose a distributed scaled-consensus protocol that utilises a probabilistic quantisation algorithm. Second, scaled-disagreement analysis is provided via mean-square stability methodology. Finally, sufficient conditions in terms of linear matrix inequalities are presented in order to obtain scaled-consensus gain for both leaderless and leader–follower cases. The presented theoretical results are examined through two simulation examples.

Date: 2021
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DOI: 10.1080/00207721.2020.1869343

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