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Consensus control of leader-following nonlinear multi-agent systems with distributed adaptive iterative learning control

Author

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  • Xiongfeng Deng
  • Xiuxia Sun
  • Ri Liu
  • Shuguang Liu

Abstract

This paper addresses the consensus problem of leader-following nonlinear multi-agent systems with iterative learning control. The assumption that only a small portion of following agents can receive the information of leader agent is considered. To approximate the nonlinear dynamics of a given system, the radial basis function neural network is introduced. Then, a distributed adaptive iterative learning control protocol with an auxiliary control term is designed, where the estimates of nonlinear dynamics are applied in control protocol design and three adaptive laws are presented. Furthermore, the convergence of the proposed control protocol is analysed by Lyapunov stability theory. Finally, a simulation example is provided to demonstrate the validity of theoretical results.

Suggested Citation

  • Xiongfeng Deng & Xiuxia Sun & Ri Liu & Shuguang Liu, 2018. "Consensus control of leader-following nonlinear multi-agent systems with distributed adaptive iterative learning control," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(16), pages 3247-3260, December.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3247-3260
    DOI: 10.1080/00207721.2018.1535677
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    Cited by:

    1. Xiongfeng Deng & Xiyu Zhang, 2022. "Adaptive Fuzzy Tracking Control of Uncertain Nonlinear Multi-Agent Systems with Unknown Control Directions and a Dead-Zone Fault," Mathematics, MDPI, vol. 10(15), pages 1-19, July.
    2. Xiongfeng Deng & Xiuxia Sun & Shuguang Liu & Boyang Zhang, 2019. "Leader-Following Consensus for Second-Order Nonlinear Multiagent Systems with Input Saturation via Distributed Adaptive Neural Network Iterative Learning Control," Complexity, Hindawi, vol. 2019, pages 1-13, May.
    3. Liming Wang & Guoshan Zhang, 2019. "Performance Index Based Observer-Type Iterative Learning Control for Consensus Tracking of Uncertain Nonlinear Fractional-Order Multiagent Systems," Complexity, Hindawi, vol. 2019, pages 1-17, November.

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