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Robust Finite-Time Control for Impulsive Switched Nonlinear Systems with State Delay

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  • Jian Guo
  • Chao Liu
  • Zhengrong Xiang

Abstract

This paper investigates robust finite-time control for a class of impulsive switched nonlinear systems with time-delay. Firstly, using piecewise Lyapunov function, sufficient conditions ensuring finite-time boundedness of the impulsive switched system are derived. Then, finite-time performance analysis for impulsive switched systems is developed, and a robust finite-time state feedback controller is proposed to guarantee that the resulting closed-loop system is finite-time bounded with disturbance attenuation. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.

Suggested Citation

  • Jian Guo & Chao Liu & Zhengrong Xiang, 2012. "Robust Finite-Time Control for Impulsive Switched Nonlinear Systems with State Delay," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-25, November.
    • Handle: RePEc:hin:jnlmpe:830154
    DOI: 10.1155/2012/830154
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