Interval Type-2 Fuzzy Sampled-Date Control for Nonlinear Systems with Packet Dropouts via a Switched System Approach

This paper investigates the interval type-2 (IT2) fuzzy sampled-data exponential stabilization problem for the controlled system subject to nonlinearities, parameter uncertainties and packet dropouts. The sample-and-hold characteristic is simulated by employing an input delay methodology, and we present a model for the packet dropout phenomenon using switched approach. Some novel two-side delay-dependent looped-functionals are proposed by considering state information in the intervals from \(t_{r}\) $t_r$ to t and t to \(t_{r+1}\) $t_{r+1}$ which relaxes the monotonic constraint of the Lyapunov–Krasovskii function (LKF) and enhances the utilization of the actual sampling pattern. Additionally, some free-weighting matrices, slack matrices, and the bound information in membership functions (MFs) are used to obtain a novel relaxed sufficient conditions for exponential stabilization of interval type-2 fuzzy systems. Based on the LKF theory, new relaxed sufficient conditions with linear matrix inequalities (LMIs) constraints are derived. Finally, some illustrative examples are presented to demonstrate the practicality and effectiveness of the method proposed.