Further Studies on Stability and Stabilization of T‐S Fuzzy Systems With Time‐Varying Delays via Fuzzy Lyapunov‐Krasovskii Functional Method
Jiyong Tan, Songyi Dian, Tao Zhao · Asian Journal of Control · 2017
Abstract This paper discusses the issue of stability analysis and stabilization of Takagi‐Sugeno (T‐S) fuzzy systems with time‐varying delays. By constructing an appropriate augmented fuzzy Lyapunov‐Krasovskii functional (LKF) including non‐quadratic Lyapunov matrices and triple and quadruple integral term,less conservative and newer stability conditions are introduced. In order to obtain stability conditions in the form of linear matrix inequalities (LMIs), some tighter bounding inequalities are employed to estimate the derivative of LKF. Several examples are provided to illustrate the effectiveness of the suggested approaches.