查看文章

The main objective of this paper is to initiate a systematic application of gap metric techniques to the performance analysis and design issues of detecting and isolating multiplicative faults in uncertain systems. To be specific, in the first part of this paper, the K-gap and L 2-gap metrics are introduced, which measure the distance between two kernel subspaces and serve as an efficient tool to deal with fault detection and isolation issues. Based on it, the K-gap and L 2-gap aided analysis of residual dynamics with respect to model uncertainties is presented for the open-loop and feedback control systems, respectively. Furthermore, they are applied to deal with the performance analysis of fault detection systems. For this purpose, the concepts of fault detectability indicators and fault-to-uncertainty ratio are introduced. The second part of this paper is dedicated to the isolation of multiplicative faults. To this end, the …