"Multi-rate sampled-data control for T-S fuzzy systems with mismatched fuzzy basis functions"

"This paper investigates a multi-rate sampled-data (MRSD) stabilization criterion for T-S fuzzy systems with the consideration of mismatched fuzzy basis functions (FBFs). To fully exploit the system information under a MRSD mechanism, we incorporate an improved looped-functional and a discontinuous function into the Lyapunov\u2013Krasovskii functional (LKF). This construction explicitly leverages the most recent measurements and the sampling-induced delay associated with each system state. Furthermore, to address a set of conditions expressed as parameterized linear matrix inequalities (PLMIs), this paper develops a refined relaxation technique for mismatched FBFs that explicitly exploit their inherent properties. Finally, two examples are provided to demonstrate that the proposed method achieves larger maximum allowable sampling interval (MASI) while reducing computational complexity."