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Sliding mode control for multi-agent systems under a time-varying topology

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Listed:
  • Lijing Dong
  • Senchun Chai
  • Baihai Zhang
  • Sing Kiong Nguang

Abstract

This paper addresses the tracking problem of a class of multi-agent systems under uncertain communication environments which has been modelled by a finite number of constant Laplacian matrices together with their corresponding scheduling functions. Sliding mode control method is applied to solve this nonlinear tracking problem under a time-varying topology. The controller of each tracking agent has been designed by using only its own and neighbours’ information. Sufficient conditions for the existence of a sliding mode control tracking strategy have been provided by the solvability of linear matrix inequalities. At the end of this work, numerical simulations are employed to demonstrate the effectiveness of the proposed sliding mode control tracking strategy.

Suggested Citation

  • Lijing Dong & Senchun Chai & Baihai Zhang & Sing Kiong Nguang, 2016. "Sliding mode control for multi-agent systems under a time-varying topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2193-2200, July.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2193-2200
    DOI: 10.1080/00207721.2014.979335
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    References listed on IDEAS

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    1. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2005. "Delay-dependent exponential stability of cellular neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1363-1369.
    2. Fenglan Sun & Zhi-Hong Guan, 2013. "Finite-time consensus for leader-following second-order multi-agent system," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 727-738.
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