Subspace angles for fault detection
Subspace angles for fault detection
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发表时间：
2002
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通讯作者：
K. D. Cock;B. D. Moor
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作者：
K. D. Cock;B. D. Moor
在本文中，我们提出了两个模型之间的子空间角和一个模型内部的子空间角。我们将展示如何将它们用于故障检测问题。从这些角度，模型的范数和距离的措施，推导出相关的倒谱的模型。证明了其中一个范数等价于过去和未来输出过程的互信息。最后，我们展示了如何定义和计算模型与观测值之间的距离。
In this paper we present subspace angles between two models a nd subspace angles within a model. We show how they can be used in fault detection problems. From these a ngles, model norms and distance measures are derived that are related to the cepstrum of the models. We sho w that one of the norms is equivalent to the mutual information of the past and the future output process. Final ly, we show how the distance between a model and observations can be defined and computed.