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Sliding mode control for polytopic differential inclusion systems

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  • Liu, Leipo
  • Han, Zhengzhi
  • Cai, Xiushan

Abstract

The stabilization problem of polytopic differential inclusion (PDI) systems is investigated by using sliding mode control. Sliding surface is designed and sufficient conditions for asymptotic stability of sliding mode dynamics are derived. A novel feedback law is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the validity of the proposed design.

Suggested Citation

  • Liu, Leipo & Han, Zhengzhi & Cai, Xiushan, 2009. "Sliding mode control for polytopic differential inclusion systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3018-3025.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:10:p:3018-3025
    DOI: 10.1016/j.matcom.2009.01.022
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    References listed on IDEAS

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    1. Qi, Guoyuan & Chen, Zengqiang & Yuan, Zhuzhi, 2008. "Adaptive high order differential feedback control for affine nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 308-315.
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    Cited by:

    1. Liu, Leipo & Han, Zhengzhi & Cai, Xiushan & Huang, Jun, 2010. "Robust stabilization of linear differential inclusion system with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 951-958.

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