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Global leader-following consensus of nonlinear multi-agent systems with unknown control directions and unknown external disturbances

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  • Fan, Ming-Can
  • Wu, Yue

Abstract

This paper is concerned with the distributed leader-following consensus problem for a class of first-order and second-order Lipschitz nonlinear multi-agent systems with unknown control directions and unknown bounded external disturbances. Moreover, the Lipschitz constant is unknown for controller design and the disturbances are only required to have unknown upper bounds and not necessarily have explicit expression. Some distributed protocols are proposed by using the Nussbaum gain function combing with adaptive control technique. By virtue of algebraic graph theory, Barbalat’s lemma and Lyapunov theory and under the assumption that the interconnection topology is undirected and connected, it is proved that the multi-agent systems can achieve global asymptotic consensus even in the presence of external disturbances. Simulation examples are provided to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:331:y:2018:i:c:p:274-286
    DOI: 10.1016/j.amc.2018.03.007
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    References listed on IDEAS

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    1. Liang, Kun & Dai, Mingcheng & Shen, Hao & Wang, Jing & Wang, Zhen & Chen, Bo, 2018. "L2−L∞ synchronization for singularly perturbed complex networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 450-462.
    2. He, Xiaoyan & Wang, Qingyun, 2017. "Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 65-76.
    3. Ma, Qian, 2017. "Cooperative control of multi-agent systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 240-252.
    4. Zhou, Jianping & Sang, Chengyan & Li, Xiao & Fang, Muyun & Wang, Zhen, 2018. "H∞ consensus for nonlinear stochastic multi-agent systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 41-58.
    5. Liu, Jinliang & Xia, Jilei & Tian, Engang & Fei, Shumin, 2018. "Hybrid-driven-based H∞ filter design for neural networks subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 158-174.
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    Cited by:

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    6. Li, Xin & Wei, Guoliang & Ding, Derui, 2021. "Distributed resilient interval estimation for sensor networks under aperiodic denial-of-service attacks and adaptive event-triggered protocols," Applied Mathematics and Computation, Elsevier, vol. 409(C).

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