Distributed state estimation for uncertain sensor networks with mixed time delays subject to sensor saturations

Abstract

In this paper, the distributed state estimation problem is investigated for a class of uncertain sensor networks. The target plant is described by a set of uncertain difference equations with both discrete-time and infinite distributed delays, where two random variables are introduced to account for the randomly occurring nonlinearities. The sensor measurement outputs are subject to randomly occurring sensor saturations due to the physical limitations of the sensors. Through available output measurements from each individual sensor and its neighboring sensors, this paper aims to design distributed state estimators to approximate the states of the target plant in a distributed way. Sufficient conditions are presented which not only guarantee the estimation error systems to be globally asymptotically stable in the mean square sense but also ensure the existence of the desired estimator gains.

Keywords:

• sensor networks
• distributed state estimation
• randomly occurring nonlinearities
• distributed delay
• sensor saturation

Notes

This work was supported in part by the National Natural Science Foundation of China under [grant number 61174136]; the Natural Science Foundation of Jiangsu Province of China under [grant number BK2011598], [grant number BK20130017]; the Program for New Century Excellent Talents in University under [grant number NCET-12-0117], and a research grant from the Australian Research Council.