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.

中文翻译：

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循环协议下离散序列系统的区间估计

在本文中，为具有延迟测量的离散序列系统 (DSS) 设计了一个区间估计器。为了减少网络传输负担和防止数据冲突，采用循环（RR）协议来调度节点的传输顺序。解决问题的目的是设计一个新的区间估计器，由两个耦合子估计器组成，用于具有有界噪声的 DSS，使得 1) 估计上限和估计下界的误差动态是渐近稳定的，2)有界噪声对估计精度的影响通过 H ∞ 范数在给定水平上衰减。基于正系统理论结合李雅普诺夫稳定性理论，保证区间内的真实状态，其界由估计上界和估计下界决定。此外，通过求解一类线性矩阵不等式来获得所需的增益。最后，通过两个数值例子验证了所提出的区间估计器的有效性。