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Stochastic faulty estimator-based non-fragile tracking controller for multi-agent systems with communication delay

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  • Kaviarasan, Boomipalagan
  • Kwon, Oh-Min
  • Park, Myeong Jin
  • Sakthivel, Rathinasamy

Abstract

A robust tracking control design problem for a class of linear multi-agent systems with fault signals is addressed in this study, where it is assumed that input signal of the leader is non-zero and unknown to the follower agents. An intermediate estimator, which bears stochastic failures, is designed to achieve the desired tracking performance and to estimate the combined unknown input signal of the leader input and the fault terms simultaneously. Assisted by the estimated terms, a robust non-fragile tracking control protocol that takes into account communication delays is proposed to eliminate the influence of the combined input signal. With the help of the Lyapunov-Krasovskii functional approach, a delay-dependent sufficient criterion is established to ensure that the resulting tracking error system states are uniformly bounded. On the basis of this criterion, the design procedure of the considered non-fragile control gain and the intermediate estimator gain matrices are presented. Two numerical examples, including a practical example, are used to reflect the validity and usefulness of the designed tracking control protocol.

Suggested Citation

  • Kaviarasan, Boomipalagan & Kwon, Oh-Min & Park, Myeong Jin & Sakthivel, Rathinasamy, 2021. "Stochastic faulty estimator-based non-fragile tracking controller for multi-agent systems with communication delay," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    • Handle: RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306573
    DOI: 10.1016/j.amc.2020.125704
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    References listed on IDEAS

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    1. Fan, Ming-Can & Wu, Yue, 2018. "Global leader-following consensus of nonlinear multi-agent systems with unknown control directions and unknown external disturbances," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 274-286.
    2. Zhang, Yanhui & Liang, Hongjing & Ma, Hui & Zhou, Qi & Yu, Zhandong, 2018. "Distributed adaptive consensus tracking control for nonlinear multi-agent systems with state constraints," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 16-32.
    3. Jun-Wei Zhu & Guang-Hong Yang & Wen-An Zhang & Li Yu, 2017. "Cooperative tracking control for linear multi-agent systems with external disturbances under a directed graph," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2683-2691, October.
    4. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    5. Ma, Qian, 2017. "Cooperative control of multi-agent systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 240-252.
    6. Tan, Yushun & Fei, Shumin & Liu, Jinliang & Zhang, Dan, 2019. "Asynchronous adaptive event-triggered tracking control for multi-agent systems with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 482-496.
    7. Sun, Fenglan & Wang, Rui & Zhu, Wei & Li, Yongfu, 2019. "Flocking in nonlinear multi-agent systems with time-varying delay via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 66-77.
    8. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
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    Cited by:

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    4. Wang, Kun-Peng & Ding, Dong & Tang, Ze & Feng, Jianwen, 2022. "Leader-Following consensus of nonlinear multi-agent systems with hybrid delays: Distributed impulsive pinning strategy," Applied Mathematics and Computation, Elsevier, vol. 424(C).

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