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Type: Journal article
Title: Functional observer-based fuzzy controller design for continuous nonlinear systems
Author: Islam, S.
Lim, C.
Shi, P.
Citation: International Journal of Systems Science, 2018; 49(5):1047-1060
Publisher: Taylor & Francis
Issue Date: 2018
ISSN: 0020-7721
Statement of
Syed Imranul Islam, Cheng-Chew Lim and Peng Shi
Abstract: This paper presents a novel method of synthesising controllers for nonlinear systems represented by Takagi--Sugeno fuzzy model using functional observer. The proposed method uses minimum order observer for estimating the control input of each rule as a function of states. Existence conditions of the functional observer-based controller are provided in the form of rank equality conditions. The stability conditions of the observer are obtained using quadratic Lyapunov function, and the condi- tions are presented in the form of linear matrix inequalities. Observer parameters can be obtained by solving these inequalities. Finally, systematic synthesis procedures for constructing the observer are presented. Examples with simulation output are given to demonstrate this method and to compare its performance with a conventional full-state observer-based controller.
Keywords: T-S fuzzy systems; functional observer; controller design
Description: Published online: 20 Feb 2018
Rights: © 2018 Informa UK Limited, trading as Taylor & Francis Group
DOI: 10.1080/00207721.2018.1440026
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