Observer-based H control for T-S fuzzy systems with time delay: Delay-dependent design method

Chong Lin, Qing Guo Wang, Tong Heng Lee, Yong He, Bing Chen

Research output: Contribution to journalArticlepeer-review

84 Citations (Scopus)


This correspondence studies the problem of observer-based H control for time-delay Takagi-Sugeno (T-S) fuzzy systems. It provides a delay-dependent linear matrix inequality (LMI)-based method for the control design. It is known that the key important problem in the literature, even for delay-independent case, lies in the difficulty of decoupling matrix variables in corresponding matrix inequalities. This correspondence suggests a decoupling technique for solving matrix inequalities with coupled variables, and provides an LMI-based algorithm by adopting the idea of the cone complementarity problem. The derivation relies on the appropriate choice of Lyaponuv-Krasovskii functionals which incorporate the intersections among local systems. Illustrative examples are given to show the effectiveness of the present delay-dependent result.

Original languageEnglish
Pages (from-to)1030-1038
Number of pages9
JournalIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Issue number4
Publication statusPublished - Aug 2007
Externally publishedYes


  • H control
  • Observer
  • T-S fuzzy systems
  • Time delay

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Information Systems
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering


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