Paper:
Language: English:

Nonlinear Model Following Control via Takagi-Sugeno Fuzzy Model

Tadanari Taniguchi and Kazuo Tanaka

Department of Mechanical and Control Engineering The University of Electro-Communications 1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, Japan

Received: June 3, 1998

Accepted: November 1, 1998

Keywords: Fuzzy model following control, Parallel distributed compensation, Takagi-Sugeno fuzzy model

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.3, No.2 pp. 68-74, 1999

Abstract

This paper presents a unified approach toward regulation and servocontrol problems as special cases of a nonlinear model following control via the Takagi-Sugeno fuzzy model. New parallel distributed compensation (PDC) is presented for realizing a nonlinear model following control. The new PDC fuzzy controller mirrors the structures of two Takagi-Sugeno fuzzy models representing a nonlinear system and nonlinear reference model. First, we derive linear matrix inequality (LMI) conditions to linearize the error system between the feedback system and the nonlinear reference model. A controller is designed using LMI conditions. Design examples verify the usefulness of nonlinear model following control.

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