Design of observer-based H∞ control for fuzzy time-delay systems

Chong Lin, Qing Guo Wang, Tong Hee Lee, Yong He

Research output: Contribution to journalArticlepeer-review

88 Citations (Scopus)


This paper addresses the problem of observer-based H∞ control for nonlinear systems with time-varying delay represented by Takagi-Sugeno (T-S) fuzzy model. It presents a single-step linear matrix inequality (LMI) method for the fuzzy control design, which overcomes the drawback of the two-step LMI approach often encountered in the literature. The derivation relies mainly on a proposed matrix decoupling technique using which a resultant matrix inequality can be equivalently converted to strict LMIs. When restricted to delay-free fuzzy systems, the present results improve or reduce to existing ones. Illustrative examples show the effectiveness and merits of the present results.

Original languageEnglish
Pages (from-to)534-543
Number of pages10
JournalIEEE Transactions on Fuzzy Systems
Issue number2
Publication statusPublished - Apr 2008
Externally publishedYes


  • H∞ control
  • Observer
  • Takagi-Sugeno (T-S) fuzzy systems
  • Time-delay

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics


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