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 ...

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 ...

This paper studies the problem of regional stability and performance analysis for a class of nonlinear uncertain systems. Both continuous-time and discrete-time systems are considered. Our approach is based on the use of polynomial Lyapunov functions. We show how these functions can be used to reduce the conservatism in analysis. The conditions for analysis are given in terms of linear matrix i...

This paper introduces a novel static output feedback version of the design procedure of McFarlane and Glover [19]. Existence conditions for a static output loop shaping controller are given in terms of two coupled matrix inequalities. Simple linear sufficient conditions can be derived from these coupled nonlinear inequalities and the determination of a static, sub-optimal, H∞ loop shaping contr...