Functional observer-based fuzzy controller design for continuous nonlinear systems

Syed Imranul Islam, Cheng-Chew Lim and Peng Shi

International Journal of Systems Science, 2018, vol. 49, issue 5, 1047-1060

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 conditions 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.

Date: 2018
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DOI: 10.1080/00207721.2018.1440026

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