On the Detection of Small Parameter Variations in Linear Uncertain Systems

The problem of detecting small parameter variations in linear uncertain systems, with the possibility of injecting an input signal to enhance detection, is considered. A constructive method for the construction of an optimal input signal for achieving guaranteed detection with specified precision is presented. The method is an extension of the multi-model approach used for the construction of auxiliary signals for failure detection. The application to the problem of incipient fault detection is investigated.