Observer based residual generator for singular systems

In this paper, we present an approach to design a residual generator for fault detection and isolation (FDI) for singular systems. The so called “SVD co-ordinate system” transformation is used to separate the model into a nondynamical and a dynamical part. The latter has the form of a nonsingular system with some of the nondynamical states as unknown inputs. New sufficient conditions are given for the reconstruction of the dynamical part of the state only, first in the absence of an exogenous unknown input, next in the presence of such input. These existence conditions are expressed in terms of the matrices of the system model. The results are then applied to the design of a residual generator for automatic fault detection and isolation