Set-membership functional diagnosability: Definitions and analysis

International audienceThis paper introduces the concept of functional diagnosability for nonlinear dynamical uncertain models. Set-membership functional diagnosability is based on the notion of functional signature introduced in [11] extended to the set-membership framework. The link between functional diagnosability and set-membership functional diagnosability is established. Contrary to classical definitions, the study of functional diagnosability highlights some of the residual properties related to the fault acting on the system in time. Set-membership functional diagnosability extends this concept to bounded faults, i.e. faults whose magnitude is unknown but belongs to a bounded set. Numerical simulations for a system based on water tanks illustrate the potential of set-membership functional diagnosability