Fuzzy dissipative filter design for T-S descriptor systems with time-varying delay

This paper considers the dissipative filter design problem for Takagi-Sugeno (T-S) fuzzy descriptor system with time-varying delay whose state is selected as premise variable when the state is immeasurable or measurable. Solvable conditions of the fuzzy dissipative filters involved in both cases are proposed, which can ensure that the error systems are admissible and strictly dissipative. This means that the considered error systems are not necessarily regular or impulse free. Moreover, the design method on H_∞ and passive filter can be obtained in the same design process, which achieves the purpose of reducing the cost and the time of the filters design. Finally, a nonlinear descriptor system is represented as a T-S fuzzy model, and simulations are performed to validate the proposed methods involved in both cases.