Robust fault detection and isolation for LPV systems under a sensitivity constraint

A novel fault detection and isolation (FDI) filter design method is proposed for linear parameter varying (LPV) systems. The LPV system description can be used to approximate the behavior of nonlinear systems and leads to simple nonlinear FDI designs. The main goal here is to obtain residual generator (RG) filters with enhanced fault transmission dc‐gains and large ℋ︁ ∞ nuisance attenuation. This is achieved using bilinear matrix inequality techniques by exploiting the relevant geometrical properties of the affine LPV description. Finally, it is shown by a nonlinear example that the RG filters designed by the proposed method compare well with alternative approaches including direct nonlinear design methods.