Fault reconstruction and disturbance estimation in linear dynamical systems

In this paper, we investigated an adaptive observer for fault detection and reconstruction. The proposed method is developed for linear systems with disturbance input and partial state availability. The method could be used for disturbance reconstruction, as well. The Lyapunov analysis is utilized to show the convergence of error signals. Design parameters are obtained by solving a feasible algorithm based on Linear Matrix Inequality (LMI). Some useful remarks on output signal differentiation were made to overcome the difficulties in method implementation. Eventually, the effectiveness of the proposed adaptive observer has been verified by applying the method to a rocket fairing structural acoustic model.