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Asynchronous adaptive event-triggered tracking control for multi-agent systems with stochastic actuator faults

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  • Tan, Yushun
  • Fei, Shumin
  • Liu, Jinliang
  • Zhang, Dan

Abstract

This paper investigates the problem of consensus tracking control for multi-agent systems with stochastic actuator faults, where the asynchronous adaptive event-triggered scheme (AETS) is proposed to reduce communication burden. The failure phenomenon for each actuator is described by an independent and identically distributed (i.i.d) random process. The communication information is divided two groups according to the scenario whether the followers can receive the information from the leader or not. Two adaptive event-triggered communication schemes are introduced based on the above classified information. Considering the stochastic actuator faults and the designed AETS, a new closed-loop fault-tolerant tracking control system model is established. Then, by employing the Lyapunov stability theory and stochastic analysis technique, a new fault-dependent stability criterion is derived, which ensures that the leader-following tracking error system is stochastically mean-square stable. Based on this criterion, the fault-tolerant consensus controller gains and the triggering parameters are obtained simultaneously by solving a linear matrix inequality (LMI). Moreover, the Zeno behavior of the AETS is excluded. Finally, a simulation example is included to illustrate the effectiveness of theoretical results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:355:y:2019:i:c:p:482-496
    DOI: 10.1016/j.amc.2019.03.009
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    References listed on IDEAS

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    1. Lin Zhao & Yingmin Jia, 2016. "Neural network-based adaptive consensus tracking control for multi-agent systems under actuator faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1931-1942, June.
    2. Guinaldo, M. & Sánchez, J. & Dormido, S., 2016. "Distributed adaptive control of linear multi-agent systems with event-triggered communications," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 195-207.
    3. Zhao, Lin & Jia, Yingmin, 2015. "Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 278-290.
    4. Fei Wang & Yongqing Yang, 2017. "Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(3), pages 571-577, February.
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    Cited by:

    1. Lü, Shao-Yu & Jin, Xiao-Zheng & Wu, Xiao-Ming & Ding, Li-Jian & Chi, Jing, 2022. "Robust adaptive event-triggered fault-tolerant control for time-varying systems against perturbations and faulty actuators," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    2. Sweetha, S. & Sakthivel, R. & Harshavarthini, S., 2021. "Finite-time synchronization of nonlinear fractional chaotic systems with stochastic actuator faults," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Tan, Hailian & Wu, Jianwei & Bao, Haibo, 2022. "Event-triggered impulsive synchronization of fractional-order coupled neural networks," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    4. Xia, Weifeng & Xu, Shengyuan & Lu, Junwei & Li, Yongmin & Chu, Yuming & Zhang, Zhengqiang, 2021. "Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    5. Sader, Malika & Chen, Zengqiang & Liu, Zhongxin & Deng, Chao, 2021. "Distributed robust fault-tolerant consensus control for a class of nonlinear multi-agent systems with intermittent communications," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    6. 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).
    7. Zhou, Yu & Pan, Yingnan & Li, Shubo & Liang, Hongjing, 2020. "Event-triggered cooperative containment control for a class of uncertain non-identical networks," Applied Mathematics and Computation, Elsevier, vol. 375(C).

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