<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper is concerned with actuator fault detection in nonlinear systems in the 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, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using a modified H<sub>∞</sub> criterion. A sufficient condition for the existence of an unknown input observer is obtained using a linear matrix inequality formula, and the observer gains are obtained by solving the corresponding 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.</p></abstract>

This paper is concerned with actuator fault detection in nonlinear systems in the 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, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using a modified H∞ criterion. A sufficient condition for the existence of an unknown input observer is obtained using a linear matrix inequality formula, and the observer gains are obtained by solving the corresponding 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.

Robust nonlinear observer design for actuator fault detection in diesel engines

HEI, Engineer School, 13, rue de Toul, 59046, Lille, France

Control Laboratory (LAGIS) Lille 1 University, Rue Paul Langevin, 59655, Villeneuve d’Ascq, France

Automatic Control Laboratory (LAGIS) Lille 1 University, Rue Paul Langevin, 59655, Villeneuve d’Ascq, France

International Journal of Applied Mathematics and Computer Science

{"article-title":"Robust nonlinear observer design for actuator fault detection in diesel engines"}

This paper is concerned with actuator fault detection in nonlinear systems in the presence of disturbances. A nonlinear unknown input observer is designed and...

Robust nonlinear observer design for actuator fault detection in diesel engines

Published Online: Sep 30, 2013

Page range: 557 - 569

DOI: https://doi.org/10.2478/amcs-2013-0042

This content is open access.