Network-based non-fragile H<inf>∞</inf> filter design for linear systems

This paper is concerned with non-fragile H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> 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 <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> 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 <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> 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.