Observer design for a discrete-time T-S fuzzy system with uncertainties

Van Phong Vu, Wen June Wang

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

10 Scopus citations

Abstract

This paper aims to design an observer for a discrete time Takagi-Sugeno (T-S) fuzzy system in presence of uncertain terms. Due to these uncertainties, it is difficult to design an observer such that the state estimation errors converge to zero. Even some previous literatures have designed the observer, but their observer works well only under the conditions of bounded uncertainty. In order to overcome these drawbacks, the proposed method converts the uncertainties into the form of unknown inputs and applies the unknown-input method to the T-S fuzzy system such that the observer is designed to guarantee the estimation error approaching to zero asymptotically. In addition, the Lyapunov theory and Linear Matrix Inequality (LMI) tools are used for the parameters synthesis of the observer. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publication2015 IEEE Conference on Automation Science and Engineering
Subtitle of host publicationAutomation for a Sustainable Future, CASE 2015
PublisherIEEE Computer Society
Pages1262-1267
Number of pages6
ISBN (Electronic)9781467381833
DOIs
StatePublished - 7 Oct 2015
Event11th IEEE International Conference on Automation Science and Engineering, CASE 2015 - Gothenburg, Sweden
Duration: 24 Aug 201528 Aug 2015

Publication series

NameIEEE International Conference on Automation Science and Engineering
Volume2015-October
ISSN (Print)2161-8070
ISSN (Electronic)2161-8089

Conference

Conference11th IEEE International Conference on Automation Science and Engineering, CASE 2015
Country/TerritorySweden
CityGothenburg
Period24/08/1528/08/15

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