Residual generation for uncertain models

The generation of redundancy equations using a parity space technique is a very effective method for fault detection and identification (FDI) in LTI models. However, for physical systems, the assumption of models with invariant parameters is too difficult to be accepted, it is then advisable to propose a method taking into account time parameter fluctuations. In this paper, a technique for parity vector generation in linear models affected by bounded uncertainties, is proposed. In order to eliminate unknown variables, the projection matrix depends on uncertainties. A systematic method for matrix projection computation is developed, leading to an exact expression of the parity vector. Since uncertainties are bounded, residues move in a bounded domain representing the normal operating of the studied system