Network-based non-fragile H∞ filter design for linear systems

This paper is concerned with non-fragile H_∞ filtering for linear systems in network environments. The filtering error system is modeled as a linear system with an interval time-varying delay. Then a delay-decomposition approach is employed to derive a sufficient condition such that the filtering error system is asymptotically stable with a prescribed H_∞ disturbance attenuation level, where the non-fragility of filters, network-induced delays and data packet dropouts are taken into account simultaneously. Based on this condition, a networked non-fragile H_∞ filter with additive uncertainties can be designed by solving a set of linear matrix inequalities. A numerical example is given to demonstrate the effectiveness of the proposed design method.