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Fixed-time consensus control for uncertain heterogeneous multi-agent systems with high-order dynamics and time-varying delay under generic topologies

Author

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  • Elahi, Arezou
  • Alfi, Alireza
  • Chadli, Mohammed

Abstract

This article is concerned with the fixed-time control problem of uncertain high-order heterogeneous multi-agent systems with time-varying delays for both directed and undirected topologies. Applying the free-weighting matrix approach, a sliding mode controller is designed through the Lyapunov–Krasovskii functional and the conditions are derived with the help of linear matrix inequalities to attain fixed-time consensus tracking control of such systems. Two numerical simulations are included to verify the capability of the derived control law with respect to different initializations.

Suggested Citation

  • Elahi, Arezou & Alfi, Alireza & Chadli, Mohammed, 2024. "Fixed-time consensus control for uncertain heterogeneous multi-agent systems with high-order dynamics and time-varying delay under generic topologies," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 111-128.
    • Handle: RePEc:eee:matcom:v:225:y:2024:i:c:p:111-128
    DOI: 10.1016/j.matcom.2024.05.009
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    References listed on IDEAS

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    1. Lavanya, S. & Nagarani, S., 2022. "Leader-following consensus of multi-agent systems with sampled-data control and looped functionals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 120-133.
    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. Chen, Maoli & Wang, Xiao, 2020. "Flocking dynamics for multi-agent system with measurement delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 187-200.
    4. Derakhshannia, Mehran & Moosapour, Seyyed Sajjad, 2022. "Disturbance observer-based sliding mode control for consensus tracking of chaotic nonlinear multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 610-628.
    5. Li, Wang & Dai, Haifeng & Zhao, Lingzhi & Zhao, Donghua & Sun, Yongzheng, 2023. "Noise-induced consensus of leader-following multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 1-11.
    6. Zhang, Jiancheng & Chadli, Mohammed & Wang, Yan, 2019. "A fixed-time observer for discrete-time singular systems with unknown inputs," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
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    Cited by:

    1. Ma, Li & Zhu, Fanglai, 2026. "Predefined-time-synchronized bipartite formation control for networked heterogeneous Euler–Lagrange systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 247(C), pages 705-721.
    2. Song, Ge & Cao, Xueting & Deng, Liwei & Xu, Jiazhong, 2026. "Distributed fixed-time sliding mode consensus tracking control for multi-agent systems based on static and dynamic event-triggered mechanisms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 246(C), pages 98-117.

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