Unknown Input Method Based Observer Synthesis for a Discrete Time Uncertain T-S Fuzzy System

Van Phong Vu, Wen June Wang, Jacek M. Zurada, Hsiang Chieh Chen, Chih Hui Chiu

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

In this paper, we propose a novel approach based on an unknown input method to synthesize the observer for a discrete time uncertain Takagi-Sugeno fuzzy system. The uncertainty bounds of the system can be unknown and the premise variables can be measurable or unmeasurable. Two main theorems are derived based on the noncommon quadratic Lyapunov function and feasible parameters are solved by the linear matrix inequality technique. Finally, a practical example is given to prove the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)761-770
Number of pages10
JournalIEEE Transactions on Fuzzy Systems
Volume26
Issue number2
DOIs
StatePublished - Apr 2018

Keywords

  • Discrete time uncertain Takagi-Sugeno (T-S) fuzzy system
  • linear matrix inequalities (LMIs)
  • observer synthesis
  • unknown inputs
  • unmeasurable premise variables

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