LMI approach for Takagi-Sugeno fuzzy controller design

Authors:
Farid Khaber;Abdelaziz Hamzaoui;Khaled Zehar
Affiliations:
QUERE Laboratory, Automatic Department, Setif University, Setif, Algeria;QUERE Laboratory, Automatic Department, Setif University, Setif, Algeria;QUERE Laboratory, Automatic Department, Setif University, Setif, Algeria
Venue:
ACMOS'05 Proceedings of the 7th WSEAS international conference on Automatic control, modeling and simulation
Year:
2005

Citing 4
Cited 0

Stability analysis and design of fuzzy control systems

Fuzzy Sets and Systems
Linear-Quadratic Control: An Introduction

Linear-Quadratic Control: An Introduction
Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory, and linear matrix inequalities

IEEE Transactions on Fuzzy Systems
An approach to fuzzy control of nonlinear systems: stability and design issues

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, we introduce a robust state feedback controller design using Linear Matrix Inequalities (LMIs) and guaranteed cost approach for Takagi-Sugeno fuzzy systems. The purpose on this work is to establish a systematic method to design controllers for a class of uncertain linear and non linear systems. Our approach utilizes a certain type of fuzzy systems that are based on Takagi-Sugeno fuzzy models to approximate nonlinear systems. We use a robust control methodology to design controllers. This method not only guarantees stability, but also minimizes an upper bound on a linear quadratic performance measure. A simulation example is presented to show the effectiveness of this method.