Interval Estimation for Discrete Sequential Systems Under Round-robin Protocol

Abstract

In this paper, an interval estimator is designed for discrete sequence systems (DSSs) with delayed measurements. In order to reduce network transmission burden and prevent data collision, the round-robin (RR) protocol is employed to schedule the transmission order of the nodes. The purpose of the problem addressed is to design a novel interval estimator consisting of two coupled sub-estimators for DSSs with the bounded noises, such that 1) the error dynamics of the estimation upper bound and estimation lower bound are asymptotically stable, 2) the effect from the bounded noises on the estimation accuracy is attenuated at a given level by means of an H∞ norm. Based on the positive system theory combined with the Lyapunov stability theory, the real state is ensured in the interval, whose bounded is determined by the estimation upper bound and estimation lower bound. Moreover, the desired gains are obtained by solving a class of linear matrix inequalities. Finally, the effectiveness of the proposed interval estimator is verified by two numerical examples.