Observer synthesis for uncertain Takagi-Sugeno fuzzy systems with multiple output matrices

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Title:	Observer synthesis for uncertain Takagi-Sugeno fuzzy systems with multiple output matrices
Authors:	王文俊;Vu, Van-Phong;Wang, Wen-June
Contributors:	資訊電機學院電機工程學系
Keywords:	Asymptotic properties;Constants;control system synthesis;Design engineering;Fuzzy systems;linear matrix inequalities;Lyapunov methods;Lyapunov theory;Matching;multiple output matrices;observer synthesis;observers;output matrices;State estimation;state estimation error;Transformations;T‐S fuzzy systems;uncertain systems;uncertain Takagi‐Sugeno fuzzy systems;Uncertainty
Date:	2016-01-19
Issue Date:	2026-04-23 14:28:07 (UTC+8)
Publisher:	Institution of Engineering and Technology;The Institution of Engineering and Technology
Abstract:	摘要： Designing an observer for Takagi–Sugeno (T–S) fuzzy systems in the presence of uncertainties is a great challenge for researchers. Owing to the uncertainties, it is hard to design an observer to make the state estimation error converge to zero asymptotically. To resolve this problem, the authors consider the uncertainties to be unknown inputs and apply the unknown inputs method. The existing literature concerning observer design for T–S fuzzy systems using the unknown inputs method generally have only a single output matrix. In addition, the method of converting uncertainties into unknown inputs requires a matching condition which includes a common constant matrix to match all uncertainties in all local models of T–S fuzzy system. Therefore, the above two constraints lead the observer design to be very conservative. To overcome the above drawbacks, a special transformation is used to transform the original T–S fuzzy system into a new system form, and then they propose a method to synthesise an observer for an uncertain T–S fuzzy system which allows different output matrices and relaxes the matching condition of the uncertainties for all local models. Finally, two examples are presented to demonstrate the efficiency of the proposed method. 出版者： The Institution of Engineering and Technology 出版日期： 2016-01-19 出處： IET control theory & applications, 2016-01, Vol.10 (2), p.151-161 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： EISSN: 1751-8652 識別號： DOI: 10.1049/iet-cta.2015.0228
Appears in Collections:	[Department of Electrical Engineering] journal & Dissertation

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