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Robust Fixed-Time Containment Tracking of Multi-Agent Systems with Unknown External Disturbances

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  • Ruichi Ren

    (School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China
    Aircraft Swarm Intelligent Sensing and Cooperative Control Key Laboratory of Sichuan Province, Chengdu 611731, China)

  • Zhenbing Luo

    (College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China)

  • Kaiyu Qin

    (School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China
    Aircraft Swarm Intelligent Sensing and Cooperative Control Key Laboratory of Sichuan Province, Chengdu 611731, China)

  • Boxian Lin

    (School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China
    Aircraft Swarm Intelligent Sensing and Cooperative Control Key Laboratory of Sichuan Province, Chengdu 611731, China)

  • Mengji Shi

    (School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China
    Aircraft Swarm Intelligent Sensing and Cooperative Control Key Laboratory of Sichuan Province, Chengdu 611731, China)

Abstract

Fixed-time (FXT) containment control, which provides timely protective deployment of heterogeneous agents in non-ideal environments, can be essential in battles or other large dynamic scenarios. With this in mind, this paper comes up with a simplified FXT containment tracking control law making the follower agents under directed communication topologies and unknown external disturbances converge to a dynamic convex hull spanned by a class of fractional-order leaders. Based on FXT theory, a novel simplified FXT containment controller is proposed that consists of two components—a signum function term and a power term—which significantly reduces the complexity of the controller structure. Meanwhile, it remains qualified to achieve the control goal within a fixed settling time, independent of the initial agent states. The proposed containment controller can also be extended to solve the general consensus tracking problem. Finally, some simulation results are presented to demonstrate the effectiveness and conciseness of the proposed FXT containment tracking control scheme.

Suggested Citation

  • Ruichi Ren & Zhenbing Luo & Kaiyu Qin & Boxian Lin & Mengji Shi, 2025. "Robust Fixed-Time Containment Tracking of Multi-Agent Systems with Unknown External Disturbances," Mathematics, MDPI, vol. 13(3), pages 1-19, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:336-:d:1572732
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    References listed on IDEAS

    as
    1. He, Xiaoyan & Wang, Qingyun & Yu, Wenwu, 2015. "Distributed finite-time containment control for second-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 509-521.
    2. Mourya Thummalapeta & Yen-Chen Liu, 2023. "Survey of containment control in multi-agent systems: concepts, communication, dynamics, and controller design," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(14), pages 2809-2835, October.
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