关键词: Takagi-Sugeno（T-S）模糊模型, 非线性时滞系统, 基于自由权矩阵的积分不等式, 前提不匹配, Finsler引理

Abstract: The problems of stability and control for nonlinear time-delay systems represented by a Takagi-Sugeno（T-S） fuzzy model are investigated. Firstly, less conservative delay-dependent stability criterion in terms of Linear Matrix Inequalities（LMIs） is obtained by choosing a recently developed free-matrix-based integral inequality. Secondly, combined with Finsler lemma, a flexible fuzzy state feedback controller design method is presented under the imperfect premise matching strategy. The design method does not require the fuzzy controller to share the same premise membership functions and the same number of fuzzy rules as the fuzzy model. Finally, two numerical examples are given to show the progressiveness and effectiveness of the presented theories.

Key words: Takagi-Sugeno（T-S） fuzzy model, nonlinear time-delay systems, free-matrix-based integral inequality, imperfect premise matching, Finsler lemma