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Control for T-S Fuzzy Singularly Perturbed Switched Systems

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  • Qianjin Wang
  • Linna Zhou
  • Wei Dai
  • Xiaoping Ma

Abstract

This paper is concerned with the design of fuzzy controller with guaranteed performance for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed switched systems. First, by using the average dwell time approach together with the piecewise Lyapunov function technique, a state feedback controller that depends on the singular perturbation parameter is developed. This controller is shown to work well for all . Then, for sufficiently small an -independent controller design method is proposed. Furthermore, under the -independent controller, the -bound estimation problem of the overall switched closed-loop system is solved. Finally, an inverted pendulum system is used to evaluate the feasibility and effectiveness of the obtained results.

Suggested Citation

  • Qianjin Wang & Linna Zhou & Wei Dai & Xiaoping Ma, 2017. "Control for T-S Fuzzy Singularly Perturbed Switched Systems," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-13, October.
    • Handle: RePEc:hin:jnlmpe:2597071
    DOI: 10.1155/2017/2597071
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