Robust nonlinear observer design for actuatorfault detection in diesel engines
Résumé
This paper is concerned with actuator fault detection in nonlinear systems in presence of disturbances. A nonlinear unknown input observer is designed and the output estimation error is used as a residual for fault detection. To deal with the problem of high Lipschitz constants, the modi ed mean value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coe cients. Moreover, the disturbance attenuation is performed using the modi ed H¥ criterion. A su cient condition for the existence of the unknown input observer is obtained using linear matrix inequality formula and the observer gains are obtained by solving this set of inequalities. The advantages of the proposed method are that no a priori assumption on the unknown input is required and that it can be applied to a large class of nonlinear systems. Performances of the proposed approach are shown through the application to a diesel engine model.