Stability Analysis of Time-Varying Delay T–S Fuzzy Systems via Quadratic-Delay-Product Method
Yunfei Qiu, Ju H. Park, Changchun Hua, Xijuan Wang · IEEE Transactions on Fuzzy Systems · 2022
The stability of Takagi–Sugeno (T–S) fuzzy systems with time-varying delay is investigated in this article. First of all, a novel Lyapunov–Krasovskii functional (LKF) is proposed by fully utilizing single integral polynomial-delay-product terms and membership-function-dependent matrices, where more delay information is considered. Second, by introducing negative integral estimation inequalities and polynomial inequality, the estimation gap of derivatives is further decreased. As consequence, the criterion with less conservatism is presented. Finally, the examples are utilized for verifying the validity of the stability approach.