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Adaptive iterative learning consensus control for nonlinear multi-agent systems with triggering state signals

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  • Liu, Xiangyu
  • Wang, Lijie

Abstract

This paper investigates the output consensus problem for a class of nonlinear multi-agent systems (MASs) under an adaptive iterative learning control (AILC) framework. In order to relax the requirements of the initial state in the iterative process, the expected consensus error trajectory is designed in advance. Moreover, considering that the controller gain function may cause singular value problems during the process of controller design, a new integral Lyapunov function is constructed. In addition, with the purpose of improving the usage of resources, a dynamic event-triggered mechanism based on state signals is proposed. This paper effectively solves the problem of non-differentiability of virtual controllers designed based on the backstepping method using intermittently transmitted triggering states. On this basis, an adaptive iterative learning consensus tracking control strategy for MASs based on event-triggered mechanisms is proposed. Finally, simulation examples are conducted to confirm the theoretical analysis.

Suggested Citation

  • Liu, Xiangyu & Wang, Lijie, 2025. "Adaptive iterative learning consensus control for nonlinear multi-agent systems with triggering state signals," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925010306
    DOI: 10.1016/j.chaos.2025.117017
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    References listed on IDEAS

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    1. Xia, Yu & Xiao, Ke & Geng, Zhibo, 2024. "Event-based adaptive fuzzy control for stochastic nonlinear systems with prescribed performance," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Zhou, Min & Wang, JinRong & Shen, Dong, 2023. "Iterative learning control for continuous-time multi-agent differential inclusion systems with full learnability," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Sui, Shuai & Yu, Yuelei & Tong, Shaocheng & Philip Chen, C.L., 2024. "Event-triggered robust fuzzy adaptive control for non-strict feedback nonlinear system with prescribed performance," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    4. Gu, Yang & Shao, Yiyu & Li, Liwei & Shen, Mouquan, 2024. "Event-triggered fault tolerant control for Markov jump systems via a proportional–integral intermediate estimator," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    5. Xu, Jiahong & Wang, Lijie & Liu, Yang & Sun, Jize & Pan, Yingnan, 2022. "Finite-time adaptive optimal consensus control for multi-agent systems subject to time-varying output constraints," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    Full references (including those not matched with items on IDEAS)

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