Robust weighted H∞ filtering for networked systems with multiple sensor faults

In this paper, we investigate the robust weighted H_∞ filtering problem for networked systems with multiple sensor faults under the discrete-time framework. The multiple outputs of the plant are measured by separate sensors and each sensor has certain failure rate. Network-induced delay, packet dropouts and network-induced disorder phenomena are all characterized in the modeling of the network link. The resulting closed-loop system involves both delayed noise and non-delayed noise. In order to make full use of the delayed information, we define the weighted H_∞ performance index. Sufficient delay-dependent and parameter-dependent conditions for the existence of the filter and the solvability of the addressed problem are given via a set of linear matrix inequalities (LMIs). A simulation example is presented to illustrate the relationship between the performance and the weighting factor, and also show the effectiveness of the proposed method.