Fault Detection Filter Design for Uncertain LTI Systems using H Norm Error Minimization

Due to the importance of fault detection in maintaining the performance and immunity of control process, various methods have been proposed where as well as fault detection, the robustness of the system with respect to uncertainty and disturbance has been also discussed. In this regard a compromise between error sesitivity of the system and its robustness should be considered. One of the proposed methods is based on transformation of robust fault detection problem to a standard H model-matching one. In this paper after the selection of a proper reference model for the robust fault detection problem, a residual generator will be considered on the basis of an H minimization of the difference between reference model the realastic residual generator using LMI technics. A design example has been chosen to demonstrate the effectiveness of the proposed approach.