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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