Sensor fault detection and isolation filter for polytopic LPV systems: A winding machine application

• We synthesize sensor faults/failures diagnosis method for polytopic LPV system.
• A novel bank of filters is designed and synthesized with respect to a quality factor definition in order to guarantee the fault diagnosis performance.
• We provided the stability conditions of the polytopic LPV filter based on LMI.
• Effect of sensor faults on a real closed-loop winding machine are presented on the whole operating conditions.

In this paper, a fault diagnosis method is developed for a particular class of nonlinear systems described by a polytopic linear parameter varying (LPV) formulation. The main contribution consists in the synthesis of an accurate fault detection and isolation (FDI) filter and also a sensor fault magnitude estimation with a quality factor. This quality factor of the filter underlines if the fault estimation can be used or not. Stability conditions of the polytopic LPV filter are studied by ensuring poly-quadratic stability with Linear Matrix Inequality (LMI) representation. The effectiveness of this global FDI scheme through LPV modelization, filter design and stability analysis, is illustrated on a real winding machine under multiple sensor faults.