Observer design for a class of nonlinear systems with stability discussion: Application to fault diagnosis

In this paper the state reconstruction problem for a class of nonlinear systems is considered and the question of convergence of the estimation error is examined. The main result is a new upper bound of the Lipschitz constant. Bounds of the free parameters are given so that the asymptotic stability of the observer is guaranteed. The proposed observer is then applied in the field of sensor fault detection and isolation.