Reliable asynchronous control for delayed multi-agent systems with stochastic faults and switching topologies

Xin Wang, Huilan Yang and Shouming Zhong

International Journal of Systems Science, 2021, vol. 52, issue 15, 3214-3225

Abstract: The issue of exponential consensus for delayed multi-agent systems (MASs) with stochastic faults and switching topologies is addressed in this work. In contrast with the existing relative works on MASs with a fixed communication topology, the topological graph is governed by an uncertain Markov chain, where the restrictions on transition rates (TRs) of Markov switching topologies are loose, which may be partially known or completely unknown. Moreover, a reliable asynchronous control protocol with the stochastic failure behaviour of the actuator on account of the relative information of neighbouring agents is devised. Relaxation of criterions with respect to the consensus of delayed MASs based on the Lyapunov methodology, Wirtinger's inequality and an improved reciprocally convex combination strategy are derived. An unmanned aerial vehicle (UAV) is presented to demonstrate the superiority and applicability of the proposed method.

Date: 2021
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DOI: 10.1080/00207721.2021.1924308

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