Mode dependent threshold for FDI in hybrid systems

A hybrid system is a complex system which consists of continuous and discrete dynamics, and it displays discrete behaviors, in addition to continuous behaviors. Due to mode changes in a hybrid system, the employment of constant threshold will cause false alarm or missed detection. The cause is that mode changes lead to different composition of component uncertainties. In this paper, in view of component uncertainties, mode-dependent thresholds are proposed and developed to address the problem of false alarm or missed detection in FDI of hybrid system. In a hybrid system, different sets of components are working at different operation modes. Using Global Analytical Redundancy Relations (GARR), mode-dependent thresholds are generated taking into the consideration of component uncertainties and mode change. An illustrative example of circuit is studied in details to show the concepts of the proposed algorithm. Simulation results suggest the feasibility of mode-dependent threshold in FDI of hybrid system.