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Finite-time adaptive optimal consensus control for multi-agent systems subject to time-varying output constraints

Author

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  • Xu, Jiahong
  • Wang, Lijie
  • Liu, Yang
  • Sun, Jize
  • Pan, Yingnan

Abstract

In this paper, a finite-time optimal consensus control strategy is presented for unknown multi-agent systems (MASs) with the time-varying asymmetric output constraint. Different from existing results, the output constraint problem investigated here eliminates the requirements that constraint boundary functions must be strictly non-zero and have different signs, which is successfully handled by introducing special barrier functions. Moreover, to deal with disturbances well, a reinforcement learning (RL) with the critic-actor-disturbance structure is introduced. Meanwhile, the weights of neural networks are adjusted online by applying the gradient descent method to positive functions newly constructed, which not only significantly simplifies the algorithm but also eliminates the persistent excitation condition. For obtaining a fast convergence rate, the finite-time control technique is embedded into the RL algorithm, and an effective finite-time optimal control scheme is proposed to achieve the consistency of multi-agent system in a finite time. Finally, the effectiveness of the proposed protocol is demonstrated by two simulation examples.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002508
    DOI: 10.1016/j.amc.2022.127176
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    References listed on IDEAS

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    1. Zhang, Juan & Zhang, Huaguang & Cai, Yuliang & Wang, Wei, 2021. "Consensus control for nonlinear multi-agent systems with event-triggered communications," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    2. Tan, Lihua & Li, Chuandong & Huang, Junjian & Huang, Tingwen, 2021. "Output feedback leader-following consensus for nonlinear stochastic multiagent systems: The event-triggered method," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    3. Zhang, Juan & Dai, Jing & Zhang, Huaguang & Sun, Shaoxin, 2021. "Cooperative output regulation of heterogeneous linear multi-agent systems based on the event-triggered distributed control under switching topologies," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    4. Li, Jun & Ji, Lianghao & Li, Huaqing, 2021. "Optimal consensus control for unknown second-order multi-agent systems: Using model-free reinforcement learning method," Applied Mathematics and Computation, Elsevier, vol. 410(C).
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    Citations

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    Cited by:

    1. Jiang Wu & Yujie Xu & Hao Xie & Yao Zou, 2023. "Finite-Time Bounded Tracking Control for a Class of Neutral Systems," Mathematics, MDPI, vol. 11(5), pages 1-16, February.
    2. Wenqiang Wu & Jiarui Liu & Fangyi Li & Yuanqing Zhang & Zikai Hu, 2023. "Prescribed Settling Time Adaptive Neural Network Consensus Control of Multiagent Systems with Unknown Time-Varying Input Dead-Zone," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    3. Zhai, Ganghui & Tian, Engang & Luo, Yuqiang & Liang, Dong, 2024. "Data-driven optimal output regulation for unknown linear discrete-time systems based on parameterization approach," Applied Mathematics and Computation, Elsevier, vol. 461(C).

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