Non-fragile H∞ filter design with sparse structure for linear discrete-time systems

This paper presents a study on the problem of designing non-fragile H∞ filters with sparse structure for linear discrete-time systems. The filters to be designed with sparse structure are assumed to be with additive gain variations, which are resulted from filter implementations. Firstly, a class of sparse structures is specified from a given fully parameterized H∞ filter. Then, an LMI-based procedure for designing non-fragile H∞ filters with the sparse structure is provided. The resulting design guarantees the augmented system asymptotically stable and the H∞ attenuation level less than a prescribed level. A numerical example is given to illustrate the proposed method.