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International Journal of Applied Mathematics and Computer Science

Journal of University of Zielona Gora and Lubuskie Scientific Society

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Volume 23, Issue 1 (Mar 2013)


Actuator fault diagnosis for flat systems: A constraint satisfaction approach

Ramatou Seydou
  • Automatic Control Group, IMS-Lab Bordeaux University, 351 cours de la libération, 33405 Talence cedex, France
  • Email:
/ Tarek Raissi
  • CEDRIC-Lab National Conservatory of Arts and Crafts, 292, rue Saint-Martin, 75141 Paris, France
  • Email:
/ Ali Zolghadri
  • Automatic Control Group, IMS-Lab Bordeaux University, 351 cours de la libération, 33405 Talence cedex, France
  • Email:
/ Denis Efimov
  • Non-A Project INRIA-LNE Parc scientifique de la haute borne 40, Av. Halley, Bât. A, Park Plaza, 59650 Villeneuve d’Ascq, France
  • Email:
Published Online: 2013-03-26 | DOI: https://doi.org/10.2478/amcs-2013-0014

This paper describes a robust set-membership-based Fault Detection and Isolation (FDI) technique for a particular class of nonlinear systems, the so-called flat systems. The proposed strategy consists in checking if the expected input value belongs to an estimated feasible set computed using the system model and the derivatives of the measured output vector. The output derivatives are computed using a numerical differentiator. The set-membership estimator design for the input vector takes into account the measurement noise thereby making the consistency test robust. The performances of the proposed strategy are illustrated through a three-tank system simulation affected by actuator faults.

Keywords : fault detection; input observer; flat systems; consistency techniques

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About the article

Ramatou Seydou

Ramatou Seydou obtained her Master degree at the Aeronautical Maintenance Institute, Bordeaux University, France, in 2009. She is currently a Ph.D. student at the IMS Lab, Bordeaux University. The topic of her thesis is the design and development of set membership techniques and their application to fault detection and diagnosis.

Tarek Raissi

Tarek Rassi received the Engineer degree from Tunis National Engineering School in 2000, the DEA in automatic control from Lille Centrale Graduate School in 2001 and the Ph.D. degree from University Paris XII in 2004. From 2005 to 2011 he was an associate professor at the University of Bordeaux. He is currently at the National Conservatory of Arts and Crafts, Paris, France. He is a member of the IFAC TC on Modelling, Identification and Signal Processing. His research interests include fault detection and isolation, nonlinear systems estimation, interval analysis.

Ali Zolghadri

Ali Zolghadri is a full professor of control engineering with the University of Bordeaux, France. His main research interest is narrowing the gap between real world control engineering requirements and theoretical analysis and design techniques. His areas of expertise include model-based fault diagnosis, fault-tolerant control and guidance, health management and operational autonomy for complex safety-critical systems. He has published around 150 contributions including journal articles, book chapters and communications. He is a co-holder of 5 patents.

Denis Efimov

Denis Efimov received the Ph.D. degree in automatic control from the Saint-Petersburg State Electrical Engineering University (Russia) in 2001, and the Dr.Sc. degree in automatic control in 2006 from the Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences (Saint-Petersburg). From 2000 to 2009 he was a research assistant at the Institute for Problems of Mechanical Engineering, RAS, Control of Complex Systems Laboratory. From 2006 to 2011 he was working in the LSS (Sup´elec, France), the Monteore Institute (University of Liege, Belgium) and the Automatic Control Group at the IMS Lab (University of Bordeaux I, France). In 2011 he joined the Non-A team at the INRIA Lille Center. He is a member of the IFAC TC on Adaptive and Learning Systems and a senior member of the IEEE. His main research interests include nonlinear oscillation analysis, observation and control and switched and hybrid system stability.

Published Online: 2013-03-26

Published in Print: 2013-03-01

Citation Information: International Journal of Applied Mathematics and Computer Science, ISSN (Online) 2083-8492, ISSN (Print) 1641-876X, DOI: https://doi.org/10.2478/amcs-2013-0014. Export Citation

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