A synthesis of observer-based controller for stabilizing uncertain T-S fuzzy systems

Wen June Wang, Van Phong Vu, Wei Chang, Chung Hsun Sun, Shan Ju Yeh

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


This study considers the robust stabilization problem of uncertain Takagi-Sugeno (T-S) fuzzy systems in which some or all state variables are unavailable. The considered uncertainties of the system are bounded and satisfy a certain condition. A sufficient condition for the state estimation and robust stabilization of the closed system is proposed. Based on the condition, the observer is designed and observer-based controller is synthesized. In the observer and controller synthesis process, with the aid of some special derivations, Bilinear Matrix Inequalities (BMIs) are converted into Linear Matrix Inequalities (LMIs) in one step such that LMI tools can be used to solve the problem. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach.

Original languageEnglish
Pages (from-to)3451-3463
Number of pages13
JournalJournal of Intelligent and Fuzzy Systems
Issue number6
StatePublished - 30 Apr 2016


  • LMIs
  • Nonlinear system
  • fuzzy control system
  • observer-based controller
  • uncertainties


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