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Distributed H ∞ filtering with consensus in sensor networks: a two-dimensional system-based approach

This article is concerned with the distributed H ∞ filtering problem in sensor network, 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 ∞ performance constraint is met. Consensus protocol is introduced as local information fusion strategy on nodes. In terms of certain linear matrix inequalities, 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.