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Subspace-based methods for the identification of multivariable dynamic errors-in-variables models

机译:基于子空间的多变量动态误差模型识别方法

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This paper analyses a multivariable errors-in-variables problem under rather general noise assumptions. Apart from the fact that both the measured input and output are corrupted by additive white noise, the output is also contaminated by a term which is caused by a white input process noise. Furthermore, these three noise processes may be correlated with each other. The solution presented here gives statistically consistent estimate of the state space matrices and it is developed in the framework of subspace model identification and is characterised by the use of instrumental variables. An example is given to demonstrate the properties of the algorithm.
机译:本文分析了一般噪声假设下的多变量变量误差问题。除了测量的输入和输出都被加性白噪声破坏的事实外,输出还受到由白输入过程噪声引起的项的污染。此外,这三个噪声过程可以彼此相关。这里介绍的解决方案提供了状态空间矩阵的统计一致估计,并且是在子空间模型识别框架内开发的,其特征在于使用了工具变量。举例说明了该算法的性质。

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