Memory State Feedback Control of Fuzzy Time-Delay Systems

The problems of stability and stabilization of Takagi-Sugeno (T-S) fuzzy time-delay systems are investigated in this paper. Firstly, less conservative delay-dependent stability criterion in terms of linear matrix inequalities (LMIs) is obtained by choosing a recently developed auxiliary function-based integral inequality. Secondly, combining with Finsler lemma, a fuzzy memory state feedback control design method is first time presented under the imperfect premise matching technique, while the memory controller under the imperfect premise matching technique does not be required to employ the same premise membership functions and the number of fuzzy rules as the fuzzy model. Finally, two numerical examples are given to show the progressiveness and effectiveness of the presented theory.