Non-fragile dissipative filtering for 2-D switched systems

This paper investigates the non-fragile dissipative filtering problem for a class of two-dimensional (2-D) switched systems. Based on the well-known Roesser model, a 2-D switched system is considered. A stochastic process subject to a so-called sojourn probability is utilized as the switching rule. The non-fragile concept is introduced to design the filter in which the additive gain variation is assumed to occur randomly. Sufficient conditions for the existence of a desired dissipative filter are presented and the design scheme is given by convex optimization techniques. A numerical example is provided to show the effectiveness and the superiority of the proposed new design technique.