\(H_{\infty}\) filtering for discrete Markov jump singular systems with mode-dependent time delay based on T-S fuzzy model (Q1718775)

Summary: This paper investigates the \(H_{\infty}\) filtering problem of discrete singular Markov jump systems (SMJSs) with mode-dependent time delay based on T-S fuzzy model. First, by Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition on \(H_{\infty}\)-disturbance attenuation is presented, in which both stability and prescribed \(H_{\infty}\) performance are required to be achieved for the filtering-error systems. Then, based on the condition, the delay-dependent \(H_{\infty}\) filter design scheme for SMJSs with mode-dependent time delay based on T-S fuzzy model is developed in term of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.