Robust fault detection for LPV systems using a consistency-based state estimation approach and zonotopes

In this paper, the problem of robust fault detection for Linear Parameter Varying (LPV) systems using a consistency-based state estimation approach is proposed. Robustness is faced by considering process/measurement noises and parametric uncertainties following a set-membership approach. A set-membership state estimator based on propagating the uncertainty using zonotopes is proposed as means to check the consistency between model and measurements. Modeling uncertainty is represented by bounding model parameters in intervals. Process and measurement noise are also considered unknown but bounded. Finally, an example based on Twin Rotor MIMO System (TRMS) is proposed to validate the proposed approach.