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A Universal Chow-Willsky Scheme and Detectability Criteria

An important issue in diagnosis research is design methods for residual generation. One method is the Chow-Willsky scheme, which is here extended such as it becomes \emph{universal} in the sense that, for both discrete and continuous linear systems, it is shown to be able to generate all possible parity functions. It is shown that previous extensions to the Chow-Willsky scheme are not universal, which happens when there are dynamics controllable from faults but not from the inputs or disturbances. Also included are two new conditions on the process for fault detectability and strong fault detectability.

Mattias Nyberg and Lars Nielsen

IEEE Transactions Automatic Control, 2000

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