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

摘要

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.