Unknown input based observer synthesis for uncertainTakagi-Sugeno fuzzy systems

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Title:	Unknown input based observer synthesis for uncertainTakagi-Sugeno fuzzy systems
Authors:	王文俊;Yeh, Shan-Ju;Chang, Wei;Wang, Wen-June
Contributors:	資訊電機學院電機工程學系
Keywords:	Asymptotic properties;Derivation;estimation error;Fuzzy;Fuzzy logic;fuzzy observer synthesis;Fuzzy set theory;Fuzzy systems;linear matrix inequalities;linear matrix inequality tools;Lyapunov methods;Lyapunov theory;matching condition;observer design;observers;Regular Papers;Synthesis;T‐S fuzzy system;uncertain systems;uncertain Takagi‐Sugeno fuzzy systems;Uncertainty;unknown input based observer synthesis;unknown input concept
Date:	2015-03-19
Issue Date:	2026-04-23 14:51:31 (UTC+8)
Publisher:	Institution of Engineering and Technology;The Institution of Engineering and Technology
Abstract:	摘要： Observer design for a Takagi–Sugeno (T–S) fuzzy system with uncertainties is extremely difficult because the estimation error is incapable of approaching zero asymptotically due to the existence of uncertainty terms. In this study, by regarding the uncertainty as an unknown input, with some particular derivation, the authors successfully synthesize a fuzzy observer which guarantees that the error will converge to zero asymptotically. Based on Lyapunov theory and linear matrix inequality tools, the main theorem is derived for the fuzzy observer synthesis. This study does not limit the size of uncertainties, but the uncertainties have to satisfy a specific matching condition in order to use the unknown input concept. Finally, a numerical example is given to show that the proposed approach is effective in estimating system's states subject to system uncertainties. 出版者： The Institution of Engineering and Technology 出版日期： 2015-03-19 出處： IET control theory & applications, 2015-03, Vol.9 (5), p.729-735 資源來源： Wiley Online Library Open Access 版權： The Institution of Engineering and Technology 版權： 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology 識別號： ISSN: 1751-8644 識別號： ISSN: 1751-8652 識別號： EISSN: 1751-8652 識別號： DOI: 10.1049/iet-cta.2014.0705
Appears in Collections:	[Department of Electrical Engineering] journal & Dissertation

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