H_∞ Filtering for Network-Based Systems with Consecutive Packet Dropouts and Delayed Measurements

Abstract

The filtering problem is studied for a class of discrete-time systems under the effect of the networks. The investigated issues involved by the network include the consecutive packet dropouts and the one-step transmission delays which can be described by a sequence of mutually independent Bernoulli distributed stochastic variables. A full-order filter is designed such that the filtering error system is exponentially stable in the mean square and the performance is also achieved. Sufficient conditions are developed for the addressed problem and the desired filter is derived by means of the feasibility of certain linear matrix inequality. Numerical example is given to illustrate the effectiveness of the proposed method.