Improved stability criteria of T-S fuzzy systems with sampled-data-based dissipative control

Based on sampled-data control, this work studies dissipative control for Takagi-Sugeno (T-S) fuzzy system. The T-S fuzzy model combined with the fuzzy membership functions (FMFS) are considered which derive the less conservative result. To take advantage of the sampling interval for more realistic information, a novel Lyapunov-Krasovskii functional (LKF) containing integral variables and the fuzzy membership functions is constructed. As a result, combined the appropriate mode-dependent Lyapunov function with the method of free-weighting matrix, sufficient condition is developed to ensure that the system is (Q, S, R) - gamma - dissipative. Moreover, a required sampled-data controller is also designed. Finally, two numerical simulation examples are carried out, which verify the feasibility and validity of the proposed theoretical results. (C) 2022 Elsevier Inc. All rights reserved.