Observer design for uncertain T-S fuzzy system with multiple output matrices and unmeasurable premise variables

Van Phong Vu, Wen June Wang, Pei Jun Lee

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

This paper proposes a method based on unknown input method to synthesize an observer for uncertain Takagi-Sugeno fuzzy system with multiple output matrices where the upper bound constraint of uncertainties are not known either. Firstly, the mathematic transformation is employed to transform the conventional T-S fuzzy system into new form. Secondly, the unknown input method is applied to eliminate the impacts of uncertainties and make estimation error converge to zero. Additionally, the unmeasurable premise variables are studied in this paper as well. Based on the Lyapunov theory and Linear Matrix Inequality technique, the main theorems for synthesizing observer are derived. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publication2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1910-1917
Number of pages8
ISBN (Electronic)9781509006250
DOIs
StatePublished - 7 Nov 2016
Event2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016 - Vancouver, Canada
Duration: 24 Jul 201629 Jul 2016

Publication series

Name2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016

Conference

Conference2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016
Country/TerritoryCanada
CityVancouver
Period24/07/1629/07/16

Keywords

  • LMIs
  • Observer synthesis
  • Uncertain T-S fuzzy system
  • Unknown input
  • Unmeasurable premise variables

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