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Asymptotic tracking control for a class of reference signals for linear differential inclusions

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  • Xiushan Cai
  • Yang Liu
  • Wei Zhang

Abstract

Tracking control for linear differential inclusions with disturbances is investigated in this paper. Based on the convex hull Lyapunov function, a feedback control law is designed such that the output of the closed-loop system without disturbances globally asymptotically tracks the desired reference signal. Under the bounded disturbances, the tracking error is bounded. An example is given to illustrate how to make the output of the closed-loop system track a sinusoidal signal, a cosine signal and a circular signal. The simulation shows the effectiveness of the proposed method.

Suggested Citation

  • Xiushan Cai & Yang Liu & Wei Zhang, 2014. "Asymptotic tracking control for a class of reference signals for linear differential inclusions," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(8), pages 1635-1642, August.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1635-1642
    DOI: 10.1080/00207721.2012.748104
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