Robust switching-type H∞ filtering for time-varying uncertain time-delay systems

This paper is concerned with the problem of H_infin filter design for a class of linear uncertain systems with time-varying delay. The uncertainty parameters are supposed to be time-varying, unknown, but bounded, which appear affinely in the matrices of system model. Our proposed robust H_infin filter is a switching-type filter, in which the filter parameters are tuned in a switching manner via a switching logic. Asymptotical stability and a prescribed H_infin performance of the filtering error systems are guaranteed. The resultant filter design conditions are less conservative than those of filter with fixed gains. A numerical example is given to illustrate the validity of the proposed design.