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Cooperative global optimal preview tracking control of linear multi-agent systems: an internal model approach

Author

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  • Yanrong Lu
  • Fucheng Liao
  • Jiamei Deng
  • Huiyang Liu

Abstract

This paper investigates the cooperative global optimal preview tracking problem of linear multi-agent systems under the assumption that the output of a leader is a previewable periodic signal and the topology graph contains a directed spanning tree. First, a type of distributed internal model is introduced, and the cooperative preview tracking problem is converted to a global optimal regulation problem of an augmented system. Second, an optimal controller, which can guarantee the asymptotic stability of the augmented system, is obtained by means of the standard linear quadratic optimal preview control theory. Third, on the basis of proving the existence conditions of the controller, sufficient conditions are given for the original problem to be solvable, meanwhile a cooperative global optimal controller with error integral and preview compensation is derived. Finally, the validity of theoretical results is demonstrated by a numerical simulation.

Suggested Citation

  • Yanrong Lu & Fucheng Liao & Jiamei Deng & Huiyang Liu, 2017. "Cooperative global optimal preview tracking control of linear multi-agent systems: an internal model approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2451-2462, September.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2451-2462
    DOI: 10.1080/00207721.2017.1318971
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    1. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
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    Cited by:

    1. Li Li & Fucheng Liao, 2020. "Preview Control for MIMO Discrete-Time System with Parameter Uncertainty," Mathematics, MDPI, vol. 8(5), pages 1-20, May.

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