Reliable Memory Sampled-Data Control for T–S Fuzzy Systems

Reliable memory sampled-data control (MSDC) for Takagi-Sugeno (T-S) fuzzy system is considered in this study. The MSDC approach includes a signal transmission delay, is utilized to stabilize the concerned T-S fuzzy system. Unlike existing Lyapunov-Krasovskii functional (LKF) approaches, a looped functional approach is considered in this paper that minimizes conservatism in designing the desired control gains. A Free-Matrix-Based integral inequality is employed to obtain the upper bounds of the integral terms in the derivative of the looped functional. The sufficient conditions are derived to show the existence of reliable MSDC law and to assure the asymptotic stability of T-S fuzzy systems. The effectiveness and significance of the proposed approach are shown through numerical examples. Copyright (C) 2022 The Authors.