Reliable H∞ state estimation for 2-D discrete systems with infinite distributed delays and incomplete observations
Reliable H∞ state estimation for 2-D discrete systems with infinite distributed delays and incomplete observations
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DOI：
10.1080/03081079.2014.973729
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发表时间：
2015-01
影响因子：
2
通讯作者：
Yuqiang Luo;G. Wei;Yurong Liu;Xueming Ding
中科院分区：
文献类型：
--
作者：
Yuqiang Luo;G. Wei;Yurong Liu;Xueming Ding
本文考虑一类具有不完全观测值的二维离散线性系统的可靠估计问题。假设2-D系统中存在的时滞在离散时间域中是无限分布的。导致不完整观测的因素包括延迟和缺失测量、传感器量化和饱和。采用统一的数学模型来描述不完全观测现象。我们的注意力集中在所讨论的2-D系统的线性状态估计器的设计上，使得对于所有允许的传感器故障，可能的无限分布时滞和不完全观测，误差动态是均方渐近稳定的，并且估计的稳态误差不超过规定的水平。所提出的方法的灵活性是由数值模拟证实。
In this note, we consider a novel reliable estimation problem for a class of two-dimensional (2-D) discrete linear systems with incomplete observations. The time delays existing in 2-D systems are assumed to be infinitely distributed in the discrete-time domain. Factors leading to incomplete observations include delayed and missing measurements, sensor quantization and saturations. A uniform mathematical model is employed to describe the phenomenon of incomplete observations. Our attention is focused on the design of a linear state estimator for the discussed 2-D systems, such that for all admissible sensor failures, possible infinite distributed time delays and incomplete observations, the error dynamics is mean-square asymptotically stable, and the steady-state error of the estimation is not more than a prescribed level . The flexibility of the proposed approach is confirmed by a numerical simulation.