Anti-Disturbance Fault-Tolerant Constrained Consensus for Time-Delay Faulty Multi-Agent Systems with Semi-Markov Switching Topology

Yangjie Chen, Fan Zhang and Jianning Li ()
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Yangjie Chen: School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
Fan Zhang: School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
Jianning Li: School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China

Mathematics, 2022, vol. 10, issue 23, 1-17

Abstract: In this article, an approach to achieve the anti-disturbance fault-tolerant constrained consensus is proposed for time-delay faulty multi-agent systems under semi-Markov switching topology. Firstly, an observer based on the coupled disturbance and fault information is designed to estimate the disturbance and failure at the same time. Next, because of the conservatism of the traditional H ∞ control method, a new performance index is constructed to replace the zero initial condition by making use of initial conditions. Then, the time-varying transfer rate is expressed as a convex combination by using the boundedness of transfer rate, so as to solve the numerical solution problem of time-varying transfer rate. On this basis, according to the performance requirements, an anti-disturbance fault-tolerant constrained consensus strategy is proposed. Finally, simulation results are given to verify the feasibility of the approach.

Keywords: time-delay multi-agent system; fault-tolerant constrained consensus; disturbance observer; H ? control; semi-Markov switching topology (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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