Robust diagnosis for hybrid dynamical systems

Abstract

The aim of this paper is to propose a hybrid observer design for linear Hybrid Dynamical systems (HDS) modeled via hybrid automata. In addition, the structure of the proposed observers is based on a discrete observer and a continuous observer on interaction. The discrete observer reconstructs the discrete mode and detects discrete faults. Once, the active mode is obtained, the continuous observer which is synthesized around a DOS (Dedicated Observer) Scheme to generate structured residuals which locate sensor faults. The observer based method is designing with LMI (linear Matrix Inequalities) formulation technique. A robust evaluation method based on the residuals norm (errors estimation) is used to detect the noisy active mode.