Observer-based quasi-containment of fractional-order multi-agent systems via event-triggered strategy

Xiaolin Yuan, Lipo Mo and Yongguang Yu

International Journal of Systems Science, 2019, vol. 50, issue 3, 517-533

Abstract: This paper is devoted to the quasi-containment control problem of fractional-order multi-agent systems (FOMASs). First, to reduce the frequency of communications, a novel observer-based event-triggered control mechanism which only relies on the information at the trigger-time is proposed. And then, by applying the theory of algebraic graph, matrix and fractional-order calculus, some sufficient consensus conditions based on the linear matrix inequality are established for achieving the consensus of FOMASs. In addition, the strict positive lower bound on the inter-event interval is obtained, which implies that the system is free from the Zeno behaviour. Finally, several simulation examples are presented to demonstrate the effectiveness of the theoretical results.

Date: 2019
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DOI: 10.1080/00207721.2018.1563222

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