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Parity Functions as Universal Residual Generators and Tool for Fault Detectability Analysis

The Chow-Willsky scheme is a design method for residual generation. Here an extension to the Chow-Willsky scheme, called the ULPE scheme, is presented. The ULPE scheme is shown to be able to generate all possible residual generators for both discrete and continuous linear systems. It is also shown that previous extensions to the Chow-Willsky scheme do not have this capability. Two new straightforward conditions on the process for fault detectability and strong fault detectability are presented. A general condition for strong fault detectability has not been presented elsewhere. It is shown that fault detectability and strong fault detectability can be seen as system properties rather than properties of the residual generator.

Mattias Nyberg and Lars Nielsen

IEEE Conf. on Decision and Control, 1997

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