Robust distributed state estimation for discrete nonlinear delayed systems through sensor networks with redundant channels

In this paper, the robust distributed state estimation problem is investigated for a class of discrete-time nonlinear delayed systems over sensor networks with redundant channels. In order to improve the reliability and quality of the communication signal transmission services, redundant channel transmission is utilized to model the communication measurement. The purpose of the addressed problem is to design a set of distributed state estimators such that the dynamics of the estimation errors are asymptotically stable in mean square. By using matrix computation and stochastic analysis approaches, a sufficient condition is established to ensure the desired performance requirements, and the explicit form of estimation parameter can be obtained by solving a set of linear matrix inequalities. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed state estimation approach.