Model-based fuzzy controller design for time-delay affine Takagi-Sugeno fuzzy models via ILMI algorithm

Article type: Research Article

Authors: Chang, Wen-Jer | Chang, Wei

Affiliations: Department of Marine Engineering, National Tainwan Ocean University, Keelung 202, Taiwan

Note: [] Corresponding author. Tel.: +886 2 24622192 Ext. 7110; Fax: +886 2 24633765; E-mail: wjchang@mail.ntou.edu.tw

Abstract: Recently, the Takagi-Sugeno (T-S) fuzzy model has become one of the most useful control approaches for complex systems. It provides an effective representation of complex nonlinear systems in terms of fuzzy sets. In this paper, the stability and stabilization issues of continuous time-delay affine T-S fuzzy models are presented. Based on Lyapunov stability criterion and Razumikhin theorem, an Iterative Linear Matrix Inequality (ILMI) algorithm is used to solve the Bilinear Matrix Inequalities (BMI) problem. Also, ILMI can be used to find feasible solutions for the synthesis of the continuous time-delay affine T-S fuzzy models. Finally, a numerical simulation for a delayed inverted pendulum system is given to show the applications of the present approach.

Keywords: Takagi-Sugeno fuzzy model, time-delay systems, S-procedure, Iterative Linear Matrix Inequality

Journal: Journal of Intelligent & Fuzzy Systems, vol. 17, no. 6, pp. 633-647, 2006