Geometric and Data-driven Solutions of Detection Problems in Dynamic Systems and Networks

Detection of unknown inputs affecting dynamical systems appears in various applications.One problem formulation is called fault detection (FD) and isolation (FDI) where the changes interpreted as faults in some cases, enter the system as an additional disturbance (fault) signal. The goal is then either to decouple the effect of these signals from certain sensor measurements (outputs) of the system or to detect (reconstruct) their occurrence based on the available information.