Stabilization of uncertain fuzzy time-delay systems via variable structure control approach

Chong Lin, Qing Guo Wang, Tong Heng Lee

Research output: Contribution to journalArticlepeer-review

137 Citations (Scopus)


In view of a recent new application of variable structure control (VSC) to the stabilization problem for Takagi-Sugeno (T-S) fuzzy models, this paper aims to study the stabilization of uncertain fuzzy time-delay systems in T-S fuzzy model via VSC approach. There are mainly two features in this paper: one lies in the incorporation of time-delays (both smooth and nonsmooth delays) in which case Lyapunov functionals and Razumikhin Theorem are required to solve the stabilization problem; the other feature is that not only matched uncertainties but also mismatched uncertainties in the state variables are considered. As a sequence, the contribution of this paper consists of various control schemes proposed for the VSC design and the present result are in terms of linear matrix inequalities (LMIs). An illustrative example is given to show the effectiveness of our various results.

Original languageEnglish
Pages (from-to)787-798
Number of pages12
JournalIEEE Transactions on Fuzzy Systems
Issue number6
Publication statusPublished - Dec 2005
Externally publishedYes


  • Fuzzy systems
  • Robust stabilization
  • Time-delay
  • Variable structure control

ASJC Scopus subject areas

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


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