Distinguishability and similarity between modes in hybrid system monitoring

The general principle of model-based Fault Detection and Isolation (FDI) algorithms aims to compare the expected behavior of the system, given by a model, with its actual behavior, known through on-line observations. Accordingly, this paper considers Hybrid Dynamical Systems (HDS), since the behavior is determined by the interaction between continuous and discrete dynamics. The proposed FDI method is based on Luenberger observers. The resulting faults indicators allow detecting both continuous and discrete faults. The property of distinguishability will be considered to guarantee modes identification and the similarity between modes is given in order to reduce residuals calculation.