New Results on Memory Sampled-Data Control Design for IT2 Fuzzy Singular Systems With External Disturbance

This work reports design problem of the memory sampled-data (SD) controller for interval type-2 fuzzy singular systems (SSs) with external disturbances. First, an improved free-weighting matrix inequality is introduced for concerning fuzzy SSs to reduce conservatism of the integral terms. Then, a novel looped-functional-based Lyapunov-Krasovskii functional (LKF) is constructed that incorporates the data from sampling interval $\mathbf {z}(t)$ to $\mathbf {z}(t_{k})$ . With the help of improved integral inequality and novel LKF, a new set of admissibility conditions is developed in the form of linear matrix inequalities (LMIs). The developed criteria based on the memory SD controller ensure that the proposed systems is admissible with an $H_{\infty }$ attenuation level. Finally, numerical simulations are given to illustrate the usefulness and benefit of the proposed methods.