Extended Dissipative Filter Design for T-S Fuzzy Polynomial Singular Delay Systems Based on Piecewise Lyapunov Function

In this article, extended dissipative filter design for discrete-time T-S fuzzy polynomial singular systems with time-varying delay is studied. Firstly, the admissibility and extended dissipative of discrete-time T-S fuzzy filter error system are proved by using the newly designed piecewise Lyapunov function. Then, the derived condition of discrete-time T-S fuzzy filter is transformed into linear matrix inequality. Therefore, the fuzzy piecewise filters are obtained. Finally, a numerical example is given to demonstrate the validity of the results.