Abstract
The Chow-Willsky scheme is a design method for resid- ual 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 resid- ual generators for both discrete and continuous linear sys- tems. 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 de- tectability and strong fault detectability can be seen as system properties rather than properties of the residual generator.