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Article

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

by
Yangjie Chen
,
Fan Zhang
and
Jianning Li
*
School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(23), 4581; https://doi.org/10.3390/math10234581
Submission received: 30 September 2022 / Revised: 8 November 2022 / Accepted: 29 November 2022 / Published: 2 December 2022
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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 time-delay multi-agent system; fault-tolerant constrained consensus; disturbance observer; H∞ control; semi-Markov switching topology

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MDPI and ACS Style

Chen, Y.; Zhang, F.; Li, J. Anti-Disturbance Fault-Tolerant Constrained Consensus for Time-Delay Faulty Multi-Agent Systems with Semi-Markov Switching Topology. Mathematics 2022, 10, 4581. https://doi.org/10.3390/math10234581

AMA Style

Chen Y, Zhang F, Li J. Anti-Disturbance Fault-Tolerant Constrained Consensus for Time-Delay Faulty Multi-Agent Systems with Semi-Markov Switching Topology. Mathematics. 2022; 10(23):4581. https://doi.org/10.3390/math10234581

Chicago/Turabian Style

Chen, Yangjie, Fan Zhang, and Jianning Li. 2022. "Anti-Disturbance Fault-Tolerant Constrained Consensus for Time-Delay Faulty Multi-Agent Systems with Semi-Markov Switching Topology" Mathematics 10, no. 23: 4581. https://doi.org/10.3390/math10234581

APA Style

Chen, Y., Zhang, F., & Li, J. (2022). Anti-Disturbance Fault-Tolerant Constrained Consensus for Time-Delay Faulty Multi-Agent Systems with Semi-Markov Switching Topology. Mathematics, 10(23), 4581. https://doi.org/10.3390/math10234581

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