Unknown input and state estimation for linear discrete-time systems with missing measurements and correlated noises

Unknown input and state estimation for linear discrete-time systems with missing measurements and correlated noises
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具有缺失测量和相关噪声的线性离散时间系统的未知输入和状态估计

DOI:
10.1080/03081079.2015.1106732
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发表时间:
2016-04
影响因子:
2
通讯作者:
Yurong Liu
Yurong Liu
中科院分区:
计算机科学3区
文献类型:
--
作者:
Huisheng Shu;Sijing Zhang;Bo Shen;Yurong Liu

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研究了一类具有相关噪声和观测缺失的线性离散系统的输入和状态同时估计问题。缺失的测量值以随机方式发生,并且由一系列服从一定伯努利分布的相互独立的随机变量控制。所考虑的过程和测量噪声在同一时刻相关。我们的注意力集中在设计的递归估计的输入和状态,这样,对于所有丢失的测量和相关噪声,估计是无偏的估计误差协方差最小化。这个目标是实现使用直接代数运算和所需的估计器的设计算法。最后,一个说明性的例子来证明所提出的设计方案的有效性。
This paper is concerned with the problem of simultaneous input and state estimation for a class of linear discrete-time systems with missing measurements and correlated noises. The missing measurements occur in a random way and are governed by a series of mutually independent random variables obeying a certain Bernoulli distribution. The process and measurement noises under consideration are correlated at the same time instant. Our attention is focused on the design of recursive estimators for both input and state such that, for all missing measurements and correlated noises, the estimators are unbiased and the estimation error covariances are minimized. This objective is achieved using direct algebraic operation and the design algorithm for the desired estimators is given. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed design scheme.
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