Fault detection for LPV systems: Loop shaping H− approach

Ahmad Farhat (1) , Damien Koenig (1) , Olivier Sename (1)

1 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse

This paper addresses a method for fault detection (FD) in linear parameters varying (LPV) systems by maximizing the fault to residual sensitivity. It uses the newly developed H − index properties and minimizing the well known H ∞ norm for worst case uncertainties and disturbance attenuation. A loop shaping approach for the H − FD problem is proposed. The multi-objectives problem is formulated as Linear Matrix Inequalities (LMI) problem for polytopic systems. An application on lateral vehicle dynamics is given as an illustrative example for this approach.

Mots clés: Residual generation; fault detection; LPV systems; H −; H ∞; LMI

Domaines: Automatique / Robotique

Ahmad Farhat, Damien Koenig, Olivier Sename. Fault detection for LPV systems: Loop shaping H− approach. LPVS 2015 - 1st IFAC Workshop on Linear Parameter Varying Systems, IFAC, Oct 2015, Grenoble, France. ⟨hal-01233832⟩