Finite-time filtering for discrete-time linear impulsive systems

Authors:
Jia Xu;Jitao Sun
Affiliations:
Department of Mathematics, Tongji University, Shanghai, China and College of Electronics and Information Engineering, Tongji University, Shanghai, China;Department of Mathematics, Tongji University, Shanghai, China
Venue:
Signal Processing
Year:
2012

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Abstract

This paper investigates the finite-time filtering problem for a class of discrete-time linear impulsive systems. Sufficient conditions are derived in terms of linear matrix inequalities, such that the filtering error system is finite-time stable and has a guaranteed prescribed noise attenuation level for all non-zero noises. A new H"~ finite-time filter is designed for the addressed discrete-time linear impulsive systems. Finally, a numerical example is exploited to show the effectiveness of the technique proposed in this paper.