This paper deals with an original fault detection and isolation method, allowing to take the structure and the range of model uncertainties into account. We focus on static and structured uncertain models, where each parameter uncertainty is described by a bounded variable. In order to de-couple residuals from unknown physical variables, a parity space approach is proposed, where the parity matrix depends on uncertain parameters. Because of this membership approach, called bounding approach, residuals represent a set of feasible behaviours and define therefore the normal operating domain of the studied physical system. To simplify its evaluation and work on a simple domain such as a parallelotope, residuals are linearised in the bounded variables and a reduction procedure is applied to decrease their complexity. Once the constraints defining this domain are determined, consistency tests for fault detection and isolation are built.