A novel and simple design scheme to fault detector for linear systems using compensator

In this paper, a novel approach is presented to design the fault detector (FD) for linear time-invariant systems with measured disturbance. Although many papers have studied the observer-based robust fault detection filter (RFDF) to detect fault, most are studied as the integrated design issue, that the selected observer gain matrix H and residual weight matrix V, which make the FDF robust to the disturbance or the uncertain system, maximizing fault sensitivity and minimizing the effect of disturbance to the residual signal are considered, simultaneously. The basic idea of our study is that design the fault detector, which is consist of observer and compensator between the disturbance input and residual output. The FD system can completely eliminate the effect of disturbance to residual signal by the compensator and also improves the degree of freedom of selected observer gain matrix H (i.e., the poles of observer can be placed arbitrarily). In this paper, the observer and compensator are designed by the result we present.