Threshold computation for robust fault detection in a class of continuous-time nonlinear systems

This report presents a study on the problem of residual evaluation and threshold computation for detection of faults in continuous time nonlinear systems. A generalized framework for designing norm-based residual evaluation scheme is proposed. The problem of threshold computation is formulated as an optimization problem and its solution is developed using the well known LMI technique. Three commonly used thresholds i.e. J_th,RMS,2, J_th,Peak,Peak and J_{th,P eak,2} are computed. A numerical example is given to show the effectiveness of the proposed approach.