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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yangjie Chen & Fan Zhang & Jianning Li, 2022. "Anti-Disturbance Fault-Tolerant Constrained Consensus for Time-Delay Faulty Multi-Agent Systems with Semi-Markov Switching Topology," Mathematics, MDPI, vol. 10(23), pages 1-17, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4581-:d:992233
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    References listed on IDEAS

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    1. Liang, Kun & Dai, Mingcheng & Shen, Hao & Wang, Jing & Wang, Zhen & Chen, Bo, 2018. "L2−L∞ synchronization for singularly perturbed complex networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 450-462.
    2. Adler, Jeffrey L. & Satapathy, Goutam & Manikonda, Vikram & Bowles, Betty & Blue, Victor J., 2005. "A multi-agent approach to cooperative traffic management and route guidance," Transportation Research Part B: Methodological, Elsevier, vol. 39(4), pages 297-318, May.
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