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Performance Index Based Observer-Type Iterative Learning Control for Consensus Tracking of Uncertain Nonlinear Fractional-Order Multiagent Systems

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  • Liming Wang
  • Guoshan Zhang

Abstract

This paper is devoted to the perfect tracking problem of consensus and the monotonic convergence problem of input errors for the uncertain nonlinear fractional-order multiagent systems (FOMASs), where there exist the linear coupling relations between the fractional order, the perturbations of the system matrix, and input matrix. For the FOMASs including one leader agent and multiple follower agents, an observer-type fractional-order iterative learning consensus protocol is proposed. Based on the two-dimensional analysis for the FOMASs, a novel performance index, which can exhibit the monotonic convergence of the input errors, is constructed by using the definition of fractional integral. A Lyapunov-like method is applied to derive the sufficient conditions in terms of linear matrix inequalities, which can guarantee the perfect tracking of consensus and the monotonic convergence of input errors. Finally, the numerical simulation results including comparisons to traditional two-dimensional analysis are presented to demonstrate the effectiveness of the proposed methods.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:complx:9734094
    DOI: 10.1155/2019/9734094
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    References listed on IDEAS

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    1. Jinsha Li & Sanyang Liu & Junmin Li, 2017. "Observer-based distributed adaptive iterative learning control for linear multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2948-2955, October.
    2. Tiedong Ma & Teng Li & Bing Cui, 2018. "Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 1-14, January.
    3. 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.
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