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Consensus of linear multi-agent systems with exogenous disturbance generated from heterogeneous exosystems

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  • Xuxi Zhang
  • Xianping Liu

Abstract

This paper addresses the consensus tracking problem for multi-agent linear systems subject to exogenous disturbances generated from heterogeneous exosystems. For the case that the disturbances are generated from linear heterogeneous exosystems, a linear disturbance observer and distributed control law are proposed, and sufficient condition for consensus tracking is established by combining the input-to-state stability and Lyapunov analysis methods. For the case when the disturbances are generated from non-linear heterogeneous exosystems, a non-linear disturbance observer is presented to estimate such disturbance by using the dynamic gain technique; then, a distributed control law is designed, and sufficient condition is also presented for achieving consensus tracking. Two simulation examples are provided to demonstrate the effectiveness of the proposed consensus protocols.

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  • 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.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3147-3159
    DOI: 10.1080/00207721.2017.1367432
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    Cited by:

    1. Xiong, Shixun & Wu, Qingxian & Wang, Yuhui & Chen, Mou, 2021. "An l2āˆ’lāˆž distributed containment coordination tracking of heterogeneous multi-unmanned systems with switching directed topology," Applied Mathematics and Computation, Elsevier, vol. 404(C).

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