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Observer-Based Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Multi-Agent Systems with Dead-Zone Input

Author

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  • Guo, Xiyue
  • Liang, Hongjing
  • Pan, Yingnan

Abstract

This paper studies observer-based adaptive fuzzy leader-following tracking control for high-order stochastic nonlinear multi-agent systems with unknown dead-zone input. First, in order to deal with unmeasurable state variables, a reduced-order observer is established for each follower, which could make the computational burden of the systems reduced. Second, the fuzzy logic systems are introduced to approximate the stochastic disturbances and the unknown functions. Then, an adaptive fuzzy tracking controller is designed for high-order multi-agent systems with unknown dead-zone input by using the backstepping approach. Furthermore, it can be proved that all the closed-loop signals are bounded in probability, and the consensus error of the stochastic multi-agent systems can converge to a small region of origin under the Lyapunov stability theory. Finally, a simulation example is given to show the effectiveness of the designed algorithm.

Suggested Citation

  • Guo, Xiyue & Liang, Hongjing & Pan, Yingnan, 2020. "Observer-Based Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Multi-Agent Systems with Dead-Zone Input," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    • Handle: RePEc:eee:apmaco:v:379:y:2020:i:c:s0096300320302381
    DOI: 10.1016/j.amc.2020.125269
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    References listed on IDEAS

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    6. Zhao, Huanyu & Park, Ju H. & Zhang, Yulin, 2014. "Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 595-605.
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    Cited by:

    1. Zhu, Fanglai & Du, Wenqing, 2024. "Observer-based consensus of multi-agent systems under odd distributed impulsive control protocol," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    2. Yi, Jiale, 2023. "Adaptive fuzzy connectivity-preserving consensus protocols for stochastic strict-feedback nonlinear MASs subject to unmeasured periodic disturbances," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    3. Zhao, Guangtong & Cao, Liang & Li, Xiaomeng & Zhou, Qi, 2022. "Observer-based dynamic event-triggered control for nonstrict-feedback stochastic nonlinear multiagent systems," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    4. Zhang, Meijie & Yang, Xinsong & Xiang, Zhengrong & Liu, Xiaoyang, 2023. "Consensus of nonlinear MAS via double nonidentical mode-dependent event-triggered switching control," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    5. Peng, Yanru & Xu, Shengyuan, 2023. "Adaptive tracking control for a class of stochastic nonlinear systems with full-state constraints and dead-zone," Applied Mathematics and Computation, Elsevier, vol. 452(C).
    6. Zhu, Jun-Wei & Zhou, Qiao-Qian & Wu, Li-Bing & Xu, Jian-Ming & Wang, Xin, 2021. "Topology reconstruction based fault identification for uncertain multi-agent systems with application to multi-axis motion control system," Applied Mathematics and Computation, Elsevier, vol. 399(C).

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