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Time-varying formation for high-order multi-agent systems with external disturbances by event-triggered integral sliding mode control

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  • Wang, Jinhuan
  • Xu, Yuling
  • Xu, Yong
  • Yang, Dedong

Abstract

This paper investigates the time-varying formation problem for high-order multi-agent systems subject to external disturbances. The interaction topology among agents is assumed to be directed and has a directed spanning tree. A novel event-triggered integral sliding mode control strategy is proposed. It can be proved that, with the designed control law and the event-triggered condition, the desired time-varying formation will be reached. Moreover, the Zeno behavior of triggering time sequences can be avoided. Finally, a simulation example is presented to illustrate the effectiveness of the theoretical results.

Suggested Citation

  • Wang, Jinhuan & Xu, Yuling & Xu, Yong & Yang, Dedong, 2019. "Time-varying formation for high-order multi-agent systems with external disturbances by event-triggered integral sliding mode control," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 333-343.
    • Handle: RePEc:eee:apmaco:v:359:y:2019:i:c:p:333-343
    DOI: 10.1016/j.amc.2019.04.066
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    References listed on IDEAS

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    1. 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.
    2. Zhao, Lin & Jia, Yingmin & Yu, Jinpeng & Du, Junping, 2017. "H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 375-389.
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    Cited by:

    1. Wang, Fang & Gao, Yali & Zhou, Chao & Zong, Qun, 2022. "Disturbance observer-based backstepping formation control of multiple quadrotors with asymmetric output error constraints," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    2. Wang, Wei & Huang, Chi & Huang, Chuangxia & Cao, Jinde & Lu, Jianquan & Wang, Li, 2020. "Bipartite formation problem of second-order nonlinear multi-agent systems with hybrid impulses," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    3. Cai, Yuliang & Zhang, Huaguang & Liu, Yang & He, Qiang, 2020. "Distributed bipartite finite-time event-triggered output consensus for heterogeneous linear multi-agent systems under directed signed communication topology," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    4. Zhang, Qiliang & Feng, Jun-e & Wang, Biao & Wang, Peihe, 2020. "Event-triggered mechanism of designing set stabilization state feedback controller for switched Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    5. Shao, Xingling & Yue, Xiaohui & Li, Jie, 2021. "Event-triggered robust control for quadrotors with preassigned time performance constraints," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    6. Yuqing Zheng & Guoshan Zhang, 2020. "Suboptimal Control for Nonlinear Systems with Disturbance via Integral Sliding Mode Control and Policy Iteration," Journal of Optimization Theory and Applications, Springer, vol. 185(2), pages 652-677, May.
    7. Yue, Xiaohui & Shao, Xingling & Li, Jie, 2021. "Prescribed chattering reduction control for quadrotors using aperiodic signal updating," Applied Mathematics and Computation, Elsevier, vol. 405(C).

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