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Controller synthesis for uncertain fuzzy systems with integrating multiple time-varying delays

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  • Chih-Peng Huang

Abstract

This article mainly investigates the controller synthesis for uncertain fuzzy systems with integrating multiple time-varying delays, which can describe a much larger class of nonlinear systems or uncertain time-delay systems. First, a sufficient stability condition for the unforced Takagi–Sugeno (T-S) fuzzy models with multiple time-varying delays and uncertainties are derived. By involving the parallel distributed compensator (PDC), some design conditions for the resulting closed-loop fuzzy systems are further presented. These proposed conditions are all expressed in terms of linear matrix inequalities (LMIs), and we can readily perform the PDC synthesis from current LMI solvers. Numerical examples are given to demonstrate the validity and superiority of the proposed approach.

Suggested Citation

  • Chih-Peng Huang, 2011. "Controller synthesis for uncertain fuzzy systems with integrating multiple time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(8), pages 1339-1349.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1339-1349
    DOI: 10.1080/00207721.2010.488759
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