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Robust Stability and Stabilization of Switched Systems with Time-Varying Delays Using Delta Operator Approach

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  • Chen Qin
  • Zhengrong Xiang
  • Hamid Reza Karimi

Abstract

This paper considers the problems of the robust stability and robust controller design for time-varying delay switched systems using delta operator approach. Based on the average dwell time approach and delta operator theory, a sufficient condition of the robust exponential stability is presented by choosing an appropriate Lyapunov-Krasovskii functional candidate. Then, a state feedback controller is designed such that the resulting closed-loop system is exponentially stable with a guaranteed performance. The obtained results are formulated in the form of linear matrix inequalities (LMIs). Finally, a numerical example is provided to explicitly illustrate the feasibility and effectiveness of the proposed method.

Suggested Citation

  • Chen Qin & Zhengrong Xiang & Hamid Reza Karimi, 2013. "Robust Stability and Stabilization of Switched Systems with Time-Varying Delays Using Delta Operator Approach," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, December.
    • Handle: RePEc:hin:jnlmpe:230576
    DOI: 10.1155/2013/230576
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