Distributed H∞-consensus filtering for piecewise discrete-time linear systems

This paper is concerned with the distributed H∞-consensus filtering problem for a class of piecewise discrete-time linear systems. Firstly, the modes and their transitions of augmented piecewise linear systems as well as distributed filters are formulated. Also, the structure of augmented distributed filter gains is presented in virtue of the adjacent matrix of sensor networks. Then, a set of sufficient conditions are provided for the distributed filter to ensure that its dynamics is global asymptotically stable with the H∞-consensus performance constraint. In addition, the distributed filter gains are obtained with the aid of the convex optimal method. At last, an illustrative simulation is presented to demonstrate the effectiveness and applicability of the proposed distributed filtering algorithm.