Distributed H<inf>∞</inf> filtering in sensor networks with switched topology

Abstract

This paper is concerned with the distributed H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> filtering problem in sensor network with switched topology, and a novel two-dimensional (2-D) system-based design approach is proposed. We aim to establish a two-step filter to simplify the design of the distributed filter parameters by means of a 2-D Roessor model, such that the filtering error dynamics is asymptotically stable and the prescribed average H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance constraint is met. Consensus protocol is introduced as local information fusion strategy on nodes. By solving a set of linear matrix inequalities (LMIs), sufficient conditions for the solvability of the addressed problem are obtained. Finally, a numerical example is provided to demonstrate the effectiveness and applicability of the proposed design approach.