Distributed Robust Filtering in Sensor Network with Random Communication Delays

In this paper, the problem of l2-l∞ filters design is addressed for sensor networks with one-step random communication delay. In a distributed filter network, each local filter that estimates the state of the system not only utilizes the information obtained by the node itself, but also utilizes the information of the neighbor nodes. The random communication delays of measurement are described by a binary switching sequence satisfying a conditional probability distribution. Subsequently, by constructing the Lyapunov function, sufficient conditions are obtained to ensure that the filter error dynamic system has exponential mean-square stability and l2-l∞ performance. Then, the parameters of the distributed l2-l∞ filter are obtained by a linear matrix inequality (LMI) technique. Finally, the effectiveness of the method is proved by a numerical simulation example.