Fault Detection and Diagnosis for a class of Linear Time-Varying (LTV) Discrete-Time Uncertain Systems using Interval Observers

This paper is concerned with the fault detection and diagnosis (FDD) problem for linear time-varying (LTV) discrete-time uncertain systems subject to component faults and uncertainties. The FDD interval observer is designed to deal with these component faults and uncertainties. The proposed interval state estimator guaranteed bounds on the observed states that are consistent with the system states. The observer convergence is also ensured. The designed method is simple and easy to be implemented. Furthermore, without the need to design the residual evaluation functions and thresholds, the residual intervals generated by the interval observers are used directly for FDD decision. Finally, the simulation result is presented to show the effectiveness and superiority of the proposed method.