Observer Design for Large-scale Polynomial T-S Fuzzy System: SOS Approach

Van Phong Vu, Wen June Wang, Van Thuyen Ngo

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

Abstract

This paper proposes a new method to design an observer for estimating the unmeasurable states variables of the large-scale nonlinear system. The large-scale nonlinear system in this study is represented in term of a set of polynomial T-S fuzzy subsystems with interconnection terms. The interconnection parts of this paper are arbitrary. The unknown input method is applied to design observer for both estimating unknown states and eliminating the effects of the interconnection terms. Based on the Lyapunov methodology and Sum-Of-Square (SOS) technique, the conditions for observer synthesis are derived in the main theorems. Finally, an illustrative example is provided to prove the success of the proposed method.

Original languageEnglish
Title of host publication2019 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages210-214
Number of pages5
ISBN (Electronic)9781728108407
DOIs
StatePublished - Nov 2019
Event2019 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2019 - New Taipei City, Taiwan
Duration: 7 Nov 201910 Nov 2019

Publication series

Name2019 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2019

Conference

Conference2019 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2019
Country/TerritoryTaiwan
CityNew Taipei City
Period7/11/1910/11/19

Keywords

  • Large-scale System
  • Observer Design
  • Polynomial T-S Fuzzy System
  • SOS

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