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Finite-time control of periodic piecewise linear systems

Author

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  • Xiaochen Xie
  • James Lam
  • Panshuo Li

Abstract

In this paper, the finite-time stability, stabilisation, L2-gain and H∞ control problems for a class of continuous-time periodic piecewise linear systems are addressed. By employing a time-varying control scheme in which the time interval of each subsystem constitutes a number of basic time segments, the finite-time controllers can be developed with periodically time-varying control gains. Based on a piecewise time-varying Lyapunov-like function, a sufficient condition of finite-time stability and the relevant time-varying controller are proposed. Considering the finite-time boundedness of the closed-loop periodic system, the L2-gain criterion with continuous time-varying Lyapunov-like matrix function is studied. A finite-time H∞ controller is proposed based on the L2-gain analysis. Finally, numerical simulations are presented to illustrate the effectiveness of the proposed criteria.

Suggested Citation

  • Xiaochen Xie & James Lam & Panshuo Li, 2017. "Finite-time control of periodic piecewise linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(11), pages 2333-2344, August.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2333-2344
    DOI: 10.1080/00207721.2017.1316884
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    Cited by:

    1. Nersessian, David, 2018. "The law and ethics of big data analytics: A new role for international human rights in the search for global standards," Business Horizons, Elsevier, vol. 61(6), pages 845-854.

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