Distributed H_∞ filtering over sensor networks with heterogeneous Markovian coupling intercommunication delays

摘要

This study is concerned with distributed filtering for continuous-time linear systems over sensor networks with heterogeneous Markovian coupling intercommunication delays. The set of sensor nodes forms a sensing and communication network whose topology is modelled by a directed graph that describes the measurement exchanged among neighbouring sensor nodes. Heterogeneous random coupling delays modelled by a Markov process are considered in the intercommunication between interacting sensor nodes. A refined two-step decoupling technique is presented to deal with the complicated coupling of exchanged measurement in the presence of the delays. A sufficient condition on the existence of desired distributed filters is derived such that the resultant filtering error system is mean square exponentially stable with prescribed weighting average performance. Two illustrative examples are given to show the effectiveness of the proposed results.