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Output Feedback Control of Discrete Impulsive Switched Systems with State Delays and Missing Measurements

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  • Xia Li
  • Hamid Reza Karimi
  • Zhengrong Xiang

Abstract

This paper is concerned with the problem of dynamic output feedback (DOF) control for a class of uncertain discrete impulsive switched systems with state delays and missing measurements. The missing measurements are modeled as a binary switch sequence specified by a conditional probability distribution. The problem addressed is to design an output feedback controller such that for all admissible uncertainties, the closed-loop system is exponentially stable in mean square sense. By using the average dwell time approach and the piecewise Lyapunov function technique, some sufficient conditions for the existence of a desired DOF controller are derived, then an explicit expression of the desired controller is given. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Xia Li & Hamid Reza Karimi & Zhengrong Xiang, 2013. "Output Feedback Control of Discrete Impulsive Switched Systems with State Delays and Missing Measurements," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, October.
    • Handle: RePEc:hin:jnlmpe:283426
    DOI: 10.1155/2013/283426
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