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Distributed adaptive consensus tracking control for nonlinear multi-agent systems with state constraints

Author

Listed:
  • Zhang, Yanhui
  • Liang, Hongjing
  • Ma, Hui
  • Zhou, Qi
  • Yu, Zhandong

Abstract

This paper investigates the consensus tracking problem of nonlinear multi-agent systems with state constraints and unknown disturbances. An observer is presented for the case that the states of each follower and its neighbors are unmeasurable. State constraint for multi-agent systems is a challenging problem. Barrier Lyapunov functions are applied in this paper to deal with this difficulty. Then based on adaptive back-stepping control approach and dynamic surface control technique, an adaptive fuzzy distributed controller is proposed to guarantee that the tracking errors between all followers and the leader converge to a small neighborhood of the origin. Moreover, it is proved that all the signals in the multi-agent systems are semi-globally uniformly ultimately bounded (SUUB). Finally, some numerical simulation results are presented to testify the effectiveness of the proposed algorithm.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:326:y:2018:i:c:p:16-32
    DOI: 10.1016/j.amc.2017.12.038
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    References listed on IDEAS

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    1. Su, Lei & Shen, Hao, 2015. "Mixed H∞/passive synchronization for complex dynamical networks with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 931-942.
    2. Ma, Qian & Miao, Guoying, 2015. "Output consensus for heterogeneous multi-agent systems with linear dynamics," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 548-555.
    3. 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:

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    3. Cai, Yuliang & Dai, Jing & Zhang, Huaguang & Wang, Yingchun, 2021. "Fixed-time leader-following/containment consensus of nonlinear multi-agent systems based on event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    4. 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).
    5. Xin, Li-Ping & Yu, Bo & Zhao, Lin & Yu, Jinpeng, 2020. "Adaptive fuzzy backstepping control for a two continuous stirred tank reactors process based on dynamic surface control approach," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    6. Xiao, Wenbin & Cao, Liang & Dong, Guowei & Zhou, Qi, 2019. "Adaptive fuzzy control for pure-feedback systems with full state constraints and unknown nonlinear dead zone," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 354-371.
    7. Fu, Yingying & Li, Jing & Li, Xiaobo & Wu, Shuiyan, 2023. "Dynamic event-triggered adaptive control for uncertain stochastic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    8. Zhang, Weijian & Du, Haibo & Chu, Zhaobi, 2022. "Robust discrete-time non-smooth consensus protocol for multi-agent systems via super-twisting algorithm," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    9. 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).
    10. Basheer, Ambreen & Rehan, Muhammad & Tufail, Muhammad & Razaq, Muhammad Ahsan, 2021. "A novel approach for adaptive H∞ leader-following consensus of higher-order locally Lipschitz multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    11. Feng, Hongyan & Xu, Huiling & Xu, Shengyuan & Chen, Weimin, 2019. "Model reference tracking control for spatially interconnected discrete-time systems with interconnected chains," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 50-62.

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