Geometric-based approach to fault detection for interval systems

This paper formulates the robust fault detection (RFD) problem in an original form and proposes an approach to solve it. The Kharitonov polynomials and the associated geometry of Dasgupta are used. The proposed approach is based on the synthesis of an optimal model derived from an interval model. The detection filter associated to the residual generation is such that it minimises the effects of both parametric uncertainties and unknown input disturbances while maximizing fault sensitivity. A simulation example illustrates this approach.