Dissipative Filtering of Singular Interval Type-2 Fuzzy Singular Systems

The problem of fuzzy dissipative control for discrete-time interval type-2 fuzzy singular system is investigated in this paper. The full-order interval type-2 fuzzy filters are designed with the uncertain terms in premise rules and membership functions. Firstly, based on the Lyapunov stability theory, the interval type-2 fuzzy filter error system is proved to be admissible and strictly dissipative. Secondly, the the derived condition of the interval type-2 fuzzy filter can be converted into linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.