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An l2−l∞ distributed containment coordination tracking of heterogeneous multi-unmanned systems with switching directed topology

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  • Xiong, Shixun
  • Wu, Qingxian
  • Wang, Yuhui
  • Chen, Mou

Abstract

This paper studies a discrete-time formation containment tracking control problem of a linear heterogeneous multi-unmanned system under the leader-follower formation with switching directed topology and unknown external disturbance. To solve the containment tracking control of the heterogeneous multi-unmanned system with switching directed topology, distributed containment control strategies are presented in this paper. First, according to practical situation, the discrete-time heterogeneous multi-unmanned system composed of unmanned aerial vehicles and unmanned ground vehicle is given. Then, by using switching directed topology, the distributed state feedback control strategies are proposed for the leaders and followers. An l2−l∞ performance index is introduced to guarantee the tracking performance of the heterogeneous multi-unmanned system under the unknown energy-bounded disturbance. The controller gains of the leaders and followers are solved by a set of linear matrix inequalities (LMIs). Finally, simulation results demonstrate the effectiveness of the designed control strategies.

Suggested Citation

  • Xiong, Shixun & Wu, Qingxian & Wang, Yuhui & Chen, Mou, 2021. "An l2−l∞ distributed containment coordination tracking of heterogeneous multi-unmanned systems with switching directed topology," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    • Handle: RePEc:eee:apmaco:v:404:y:2021:i:c:s0096300321001284
    DOI: 10.1016/j.amc.2021.126080
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    References listed on IDEAS

    as
    1. Xuxi Zhang & Xianping Liu, 2017. "Consensus of linear multi-agent systems with exogenous disturbance generated from heterogeneous exosystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3147-3159, November.
    2. Xiong, Shixun & Chen, Mou & Wu, Qianxian, 2019. "Predictive control for networked switch flight system with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 444-459.
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