A new interpretation of the fault detection filter Part 1: Closed-form algorithm
作者:
JAEHONG PARK,
GIORGIO RIZZONI,
期刊:
International Journal of Control
(Taylor Available online 1994)
卷期:
Volume 60,
issue 5
页码: 767-787
ISSN:0020-7179
年代: 1994
DOI:10.1080/00207179408921494
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A novel interpretation is presented of the detection filter in the context of an eigenstructure assignment problem. The detection filter is shown to be equivalent to the combination of two decoupled observers, with the advantage that theories already developed for conventional observers can be utilized as design aids. Detection space and detection order are re-defined accordingly, and it is shown that of the two observers that constitute a detection filter, the one associated with the detection space is a single-output system. This fact is important since it explains important properties of the fault detection filter in a very uncomplicated fashion, leading to a clear interpretation of the freedom available in designing the filter; in particular, it is proven that the detection filter gains are unique, given the eigenvalues of the detection space. Further, the formulation leads to a closed-form expression for the detection filter, and is therefore well-suited to the development of simple design algorithms.
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