Delay-dependent stability and H control for a class of fuzzy descriptor systems with time-delay

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Original languageEnglish
Pages (from-to)1689-1707
Journal / PublicationFuzzy Sets and Systems
Issue number12
Publication statusPublished - 16 Jun 2009


This paper addresses issues of stability analysis and H control for a class of fuzzy time-delay descriptor systems described by an extended Takagi-Sugeno (T-S) fuzzy model. A delay-dependent stability criterion is first presented, and a H control synthesis approach is then developed. Both the stability criterion and the H controller synthesis are based on the solutions of linear matrix inequalities (LMIs). Finally, two examples are given to illustrate the effectiveness of the approaches proposed in this paper. © 2008 Elsevier B.V. All rights reserved.

Research Area(s)

  • Fuzzy descriptor system, H∞ control, Linear matrix inequalities (LMIs), Stability, Takagi-Sugeno model, Time-delay