Non-fragile H∞ memory sampled-data state-feedback control for continuous-time nonlinear Markovian jump fuzzy systems with time-varying delay

In this paper, non-fragile control is studied for time-varying delay Markovian jump systems described by T-S model on the basis of aperiodic memory sampled-data control. The consideration of both non-fragility and signal input delay in a sampled-data control for fuzzy Markovian jump system (FMJS) has not been well documented. An improved time-delay dependent Lyapunov-Krasovskii functional (LKF) is proposed, which covers as much the sampling interval and the time-delay information in the system and controller as possible. On this basis, we use the advanced technique of treating integral inequality to estimate the derivative term of Lyapunov-Krasovskii functional. The weighted matrix is introduced in the integral inequality makes our results more flexible, which will be illustrated in the practical examples in the last section. Using the linear matrix inequalities (LMIs) method, a set of sufficient conditions is established to guarantee the system to be stochastically stable and satisfy the performance index. Finally, two examples are given to illustrate the effectiveness and superiority of the results. (c) 2021 Elsevier Inc. All rights reserved.