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Optimal bipartite consensus control for nonlinear MASs: A new predefined-time dynamic event-triggered approach

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  • Zou, Haoming
  • Zhang, Guoshan
  • Chen, Zhiyong

Abstract

This paper presents a novel predefined-time (PDT) event-triggered (ET) optimal bipartite consensus control scheme for multi-agent systems (MASs) with external disturbances. Firstly, an adaptive disturbance observer is designed to accurately estimate the external disturbances within a predefined time, and relax the condition that the upper bound of the disturbance derivative is known. Then, an ET-based consensus optimal control scheme is formulated for MASs by incorporating command filtering technology, backstepping method, and reinforcement learning algorithm. This scheme can obtain satisfactory performance and minimize performance index within a predefined time, and the PDT command filter technique can address “computation complexity” issue. In addition, a new type of dynamic ET mechanism is designed for controller that can ensure the system’s PDT stability and reduce the execution time of controller, in which the dynamic variable can achieve PDT convergence. Finally, the practical PDT stability is proved, and the Zeno behavior is excluded. The effectiveness and superiority are validated through simulation examples.

Suggested Citation

  • Zou, Haoming & Zhang, Guoshan & Chen, Zhiyong, 2025. "Optimal bipartite consensus control for nonlinear MASs: A new predefined-time dynamic event-triggered approach," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000864
    DOI: 10.1016/j.chaos.2025.116073
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    References listed on IDEAS

    as
    1. Liu, Xinxiao & Wang, Lijie & Liu, Yang, 2023. "Fixed-time nonlinear-filter-based consensus control for nonlinear multiagent systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. 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).
    3. Liu, Shanlin & Niu, Ben & Karimi, Hamid Reza & Zhao, Xudong, 2024. "Self-triggered fixed-time bipartite fault-tolerant consensus for nonlinear multiagent systems with function constraints on states," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    4. Zhao, Xiao-Wen & Deng, Dong-Dong & Ge, Ming-Feng & Liu, Zhi-Wei, 2024. "Neural adaptive predefined-time formation tracking control of multiple Euler–Lagrange systems with switching topologies based on hierarchical mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    5. Yao, Yangang & Tan, Jieqing & Wu, Jian & Zhang, Xu & He, Lei, 2022. "Prescribed tracking error fixed-time control of stochastic nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
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