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Cooperative control of multi-agent systems with unknown control directions

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  • Ma, Qian

Abstract

This paper deals with the cooperative control problem of high-order multi-agent systems with unknown control directions. Adaptive backstepping technology is utilized to handle the difficulties caused by the unknown control direction in every order’s dynamics. By using a conditional inequality related to multiple terms of the Nussbaum-type function at each step, the consensus problem for systems with undirected and connected topology is solved. Then, it is shown that cooperative asymptotic regulation problem can be addressed by the same design procedure. The agents can achieve consensus and converge to the equilibrium asymptotically as well. Simulation examples are provided finally to demonstrate the effectiveness of the proposed design methods.

Suggested Citation

  • Ma, Qian, 2017. "Cooperative control of multi-agent systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 240-252.
    • Handle: RePEc:eee:apmaco:v:292:y:2017:i:c:p:240-252
    DOI: 10.1016/j.amc.2016.07.016
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    References listed on IDEAS

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    1. Xiao, Qiang & Huang, Zhenkun, 2016. "Consensus of multi-agent system with distributed control on time scales," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 54-71.
    2. 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. 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. Xiongfeng Deng & Yiming Yuan & Lisheng Wei & Binzi Xu & Liang Tao, 2022. "Adaptive Neural Tracking Control for Nonstrict-Feedback Nonlinear Systems with Unknown Control Gains via Dynamic Surface Control Method," Mathematics, MDPI, vol. 10(14), pages 1-13, July.
    3. Yu, Zhiyong & Jiang, Haijun & Mei, Xuehui & Hu, Cheng, 2018. "Guaranteed cost consensus for second-order multi-agent systems with heterogeneous inertias," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 739-757.
    4. Liao, Xiaoxin & Zhou, Guopeng & Yang, Qigui & Fu, Yuli & Chen, Guanrong, 2017. "Constructive proof of Lagrange stability and sufficient – Necessary conditions of Lyapunov stability for Yang–Chen chaotic system," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 205-221.
    5. 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).
    6. Zhang, Zhipeng & Wang, Huimin, 2022. "Resilient decentralized adaptive tracking control for nonlinear interconnected systems with unknown control directions against DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 415(C).

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