Theories for design and analysis of robust [formula omitted] fault detectors

Abstract

This paper deals with model-based fault detection and isolation problems, for linear time invariant systems subject to a large class of uncertainties and disturbances. A new approach based on non-smooth optimization techniques, is proposed to synthesize a state–space realization of the fault detection filter, within the H∞/H− setting. A set of new criteria for robust fault detection performance analysis is too proposed, using the generalized structured singular value theory. The proposed theories are illustrated on a satellite example, under a large class of nonlinear dependent uncertainties. Through a deep analysis of the example, it is shown how the H∞/H− design – μg analysis tools can serve as a general theory, to solve fault detection problems.