Stability and Stabilization of T–S Fuzzy Time-Delay Systems Under Sampled-Data Control via New Asymmetric Functional Method
Zhaoliang Sheng, Chong Lin, Bing Chen, Qing‐Guo Wang
Abstract
This article studies the stability and stabilization of Takagi–Sugeno (T–S) fuzzy time-delay systems under sampled-data control via a new asymmetric Lyapunov–Krasovskii functional (LKF) method. The method improves the common symmetric basic functional term. Besides, we improve the looped-functional term and the discontinuous functional term through combining the integral about time delay and each sampling interval, respectively. Based on the abovementioned new approaches, we present the stability and stabilization results with less conservativeness than the literature through linear matrix inequalities. In the process, we introduce a simplification approach for stabilization of sampled-data control, which effectively reduces the computational complexity of results. At last, we provide three examples to verify the effects and advantages of our results.