Dissipative Filtering of Interval Type-2 Fuzzy Singular Time-delay Systems via Event-triggering Mechanism

In this paper, the problem of dissipativity filtering for discrete-time nonlinear singular systems with distributed delays is addressed. An interval type-2 fuzzy model is employed to represent the nonlinear singular systems of which the parameter uncertainties are captured by interval type-2 membership functions characterized by lower and upper membership functions. Based on event-triggering scheme, an interval type-2 filter is proposed. By adopting the idea of input delay method, the filtering error systems is reformulated as a new event-triggering interval type-2 fuzzy singular systems with mixed time-delays. By using an improved reciprocally convex combination approach and some new techniques on matrix convexification to bound the forward difference of the double and the triple summation terms in the Lyapunov function, two less conservatism conditions have been derived. The event-triggered dissipative filter gains and the event-triggering parameters are obtained to determine the filter error singular systems admissible and dissipative. A numerical example is given to illustrate the effectiveness of this proposed method.