Non-fragile H∞ Filtering for Continuous-time Singular Systems

This paper considers the problem of designing non-fragile H-infinity filter for continuous-time linear singular systems. Attention is focused on the design of a non-fragile H-infinity filter such that the filtering error system is admissible (regular, impulse-free and stable) and the transfer function from the disturbance to the filtering error output satisfies a prescribed H-infinity noise attenuation level, where the designed non-fragile filter is assumed to have additive gain variations. Based on bounded real lemma and fisher lemma, sufficient conditions for the existence of the non-fragile H-infinity filter are expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to demonstrate the applicability of the proposed method.