&. Dans-ref5svärd and . Nyberg, la redondance analytique a été utilisé pour le diagnostic, précisément, pour la définition de plusieurs générateurs de résidus . La sélection du générateur de résidu le plus adapté est accompli en utilisant un algorithme, nommé "greedy selection algorithm". Pour plus de détails sur set algorithme, 2010.

. La-comparaison-avec-les-travaux-cités-ci, Le but principal est de montrer l'efficacité du schéma de diagnostic proposé dans ce chapitre. En effet, la majorité des défauts présentés dans le benchmark a été détectée avec le temps de détection requis. Rappelons que les "x" présents dans ce tableau font référence aux défauts 8 et 9 (défauts actionneur dans le sous-système de pales) où le temps de détection imposé dans le cahier de charges n'est pas respecté par l'utilisation de l'approche proposée dans ce chapitre

T. Ahmed-ali and F. Lamnabhi-lagarrigue, Sliding observer-controller design for uncertain triangular nonlinear systems, IEEE Transactions on Automatic Control, vol.44, issue.6, pp.1244-1249, 1999.
DOI : 10.1109/9.769383

E. Al-ahmar, M. Benbouzid, Y. Amirat, and S. B. Elghali, DFIG-based wind turbine fault diagnosis using a specific discrete wavelet transform, 2008 18th International Conference on Electrical Machines, 2008.
DOI : 10.1109/ICELMACH.2008.4800033
URL : https://hal.archives-ouvertes.fr/hal-00531286

M. Alamir, Stabilization of Nonlinear Systems Using Receding-Horizon Control Schemes : A Parametrized Approach for Fast systems, Lecture Notes in control and Information Sciences, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00113043

M. Alamir, Nonlinear Moving Horizon Observers: Theory and Real-Time Implementation, 2007.
DOI : 10.1007/978-3-540-73503-8_5

M. Alamir, P. Bellemain, and L. Boillereaux, CLPP: A User-Friendly Platform for Nonlinear Robust Observer Design, '9th International Symposium on Dynamics and Control of Process Systems, 2010.
DOI : 10.3182/20100705-3-BE-2011.00030
URL : https://hal.archives-ouvertes.fr/hal-00469478

M. Alamir and O. Omar, On solving inverse problems for electric fish like robots, 2010 IEEE International Conference on Robotics and Biomimetics, 2010.
DOI : 10.1109/ROBIO.2010.5723478
URL : https://hal.archives-ouvertes.fr/hal-00522917

X. L. An, D. X. Jiang, S. H. Li, and J. Chen, Fault diagnosis of direct-drive wind turbine based on support vector machine, Journal of Physics : Conferences Series 305, 2011.
DOI : 10.1088/1742-6596/305/1/012030

J. Antoni and R. B. Randall, Differential Diagnosis of Gear and Bearing Faults, Journal of Vibration and Acoustics, vol.124, issue.2, pp.165-171, 2002.
DOI : 10.1115/1.1456906

G. Baffet, F. Boyer, and P. B. Gossiaux, Biomimetic localization using the electrolocation sens of the electric fish, Proceedings of the 2008 IEEE International Conference on Robotics and Biomimetics, 2009.

A. Banerjee, V. Natarajan, S. Sen, A. Chatterjee, G. Srinivasan et al., Optimized Multitone Test Stimulus Driven Diagnosis of RF Transceivers Using Model Parameter Estimation, 2011 24th Internatioal Conference on VLSI Design, pp.274-279, 2011.
DOI : 10.1109/VLSID.2011.65

M. Basseville, Detecting changes in signals and systems???A survey, Automatica, vol.24, issue.3, pp.309-326, 1988.
DOI : 10.1016/0005-1098(88)90073-8

M. Basseville and I. Nikiforov, Detection of Abrupt Changes : Theory and Application, 1993.
URL : https://hal.archives-ouvertes.fr/hal-00008518

G. Bastin and M. R. Gevers, Stable adaptive observers for nonlinear time-varying systems, IEEE Transactions on Automatic Control, vol.33, issue.7, pp.650-658, 1988.
DOI : 10.1109/9.1273

W. T. Baumann, Feedback control of multiinput nonlinear systems by extended linearization, IEEE Transactions on Automatic Control, vol.33, issue.2, pp.193-197, 1988.
DOI : 10.1109/9.389

W. T. Baumann and W. J. Rugh, Feedback control of nonlinear systems by extended linearization, IEEE Transactions on Automatic Control, vol.31, issue.1, pp.40-45, 1986.
DOI : 10.1109/TAC.1986.1104100

W. T. Baumann and W. J. Rugh, Feedback control of nonlinear systems by extended linearization : the multiinput case, IEEE Transactions on Automatic Control, pp.107-113, 1986.

W. T. Baumann and W. J. Rugh, Feedback Control of Analytic Nonlinear Systems by Extended Linearization, SIAM Journal on Control and Optimization, vol.25, issue.5, pp.1341-1352, 1987.
DOI : 10.1137/0325073

R. Beard, Failure accomodation in linear system through self reorganisation, 1971.

G. Besançon, Contributions à l'étude età l'observation des systèmes non linéaires avec recours au calcul formel, 1996.

G. Besançon, Remark on nonlinear adaptive observer design', System & control letters 41, pp.271-280, 2000.

G. Besançon, Nonlinear Observers and Applications, Lecture Notes in control and Information Sciences, 2007.

G. Besançon and Q. Zhang, Further developements on adaptive observers for nonlinear systems with application in fault detection, Preprints of the 15th IFAC World Congress on Automatic Control, 2002.

D. Bestle and M. Zeitz, Canonical form observer design for non-linear time-variable systems, International Journal of Control, vol.27, issue.2, pp.419-425, 1983.
DOI : 10.1080/00207178308933084

D. Birk and M. Zeitz, Extended Luenberger observer for non-linear multivariable systems, International Journal of Control, vol.27, issue.6, pp.1823-1836, 1988.
DOI : 10.1080/00207177308932395

J. Blesa, V. Puig, J. Romera, and J. Slaudes, Fault Diagnosis of Wind Turbines using a Set-membership Approach, Proceedings of the IFAC World Congress, pp.8316-8321, 2011.
DOI : 10.3182/20110828-6-IT-1002.01167

J. Blesa, V. Puig, and J. Saludes, Robust fault detection using polytope-based setmembership consistency test, Conference on Control and Fault Tolerant Systems', 2010.

G. Bornard and H. Hammouri, A high gain observer for a class of uniformly observable systems, [1991] Proceedings of the 30th IEEE Conference on Decision and Control, 1991.
DOI : 10.1109/CDC.1991.261650

M. Boutayeb and D. Aubry, A strong tracking extended Kalman observer for nonlinear discrete-time systems, IEEE Transactions on Automatic Control, vol.44, issue.8, pp.1550-1556, 1999.
DOI : 10.1109/9.780419

M. Boutayeb, D. Aubry, and M. Darouach, Robust observers design for a class of nonlinear discrete-time systems, Proceedings of the 4th European Control Conference, 1997.

M. Boutayeb and M. Darouach, Observers design for linear time-varying systems, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), pp.3183-3187, 2000.
DOI : 10.1109/CDC.2000.912188

E. Brookner, Tracking and Kalman filtering made easy, 1998.
DOI : 10.1002/0471224197

R. Brown and P. Hwang, Introduction to random signals and applied Kalman filtering : with Matlab exercises and solutions, 1997.

K. K. Busawon and J. De-leon-morales, An observer design for uniformly observable non-linear systems, International Journal of Control, vol.73, issue.15, pp.1375-1381, 2000.
DOI : 10.1080/002071700445398

K. K. Busawon, M. Farza, and H. Hammouri, Observer design for a special class of nonlinear systems, International Journal of Control, vol.71, issue.3, pp.405-418, 1998.
DOI : 10.1080/002071798221740

K. K. Busawon and M. Saif, A state observer for nonlinear systems, IEEE Transactions on Automatic Control, vol.44, issue.11, pp.2098-2103, 1999.
DOI : 10.1109/9.802924

R. Casimir, Diagostic des défauts des machines synchrones par reconnaissance des formes, 1971.

H. J. Cha, C. F. Wu, J. Valdes, G. Rao, and W. E. Bentley, Observations of green fluorescent protein as a fusion partner in genetically engineered Escherichia coli: Monitoring protein expression and solubility, Biotechnology & Bioengineering, vol.67, issue.5, pp.635-646, 2000.
DOI : 10.1002/(SICI)1097-0290(20000305)67:5<565::AID-BIT7>3.3.CO;2-G

S. K. Chang and P. L. Lsu, A novel design of the unknown input fault detection observer, Control Theory and Advanced Technology, vol.10, issue.4, pp.1029-1051, 1995.

G. Chen, Approximate Kalman filtering, World Scientific series in approximations and decompositions, 1993.

J. Chen and R. Patton, Robust model-based fault diagnosis for dynamic systems, 1999.
DOI : 10.1007/978-1-4615-5149-2

J. Chen, R. Patton, and H. Zhang, Design of unknown input observers and robust fault detection filters, International Journal of Control, vol.9, issue.1, pp.85-105, 1996.
DOI : 10.1109/9.1278

W. Chen, S. Ding, A. Haghani, A. Naik, A. Q. Khan et al., Observerbased fdi schemes for wind turbine benchmark, Proceedings of the IFAC World Congress, pp.7073-7078, 2011.

Y. M. Cho and R. Rajamani, A systematic approach observer synthesis for nonlinear systems, IEEE Transactions on Automatic Control, vol.42, pp.534-537, 1997.

E. Chow and A. Willsky, Analytical redundancy and the design of robust failure detection systems, IEEE Transactions on Automatic Control, vol.29, issue.7, pp.603-614, 1984.
DOI : 10.1109/TAC.1984.1103593

G. Ciccarella, M. Dalla-mora, and A. Germani, A Luenberger-like observer for nonlinear systems, International Journal of Control, vol.6, issue.3, pp.537-556, 1993.
DOI : 10.1016/0167-6911(87)90021-1

R. N. Clark, Detecting Instrument Malfunctions in Control Systems, IEEE Transactions on Aerospace and Electronic Systems, vol.11, issue.4, pp.465-473, 1975.
DOI : 10.1109/TAES.1975.308108

R. N. Clark, The dedicated observer approach to instrument failure detection, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, pp.237-241, 1979.
DOI : 10.1109/CDC.1979.270170

G. Comtet-varga, C. Christophe, V. Cocquempot, and M. Staroswiecki, Robust fault detection and isolation via a diagnstic observer, International Journal of Robust Nonlinear Control, vol.10, issue.14, pp.1175-1192, 2000.

N. Couenne, Synthèse d'observateurs de systèmes affines en l'état, 1988.

G. Cybenko, Approximation by superposition of a sigmoidal function', Maths, control, signal, pp.303-314, 1989.

R. Da and C. F. Lin, Sensitivity analysis algorithm for the state chi-square test, Journal of Guidance, Control, and Dynamics, vol.19, issue.1, pp.219-222, 1996.
DOI : 10.2514/3.21601

M. Dalla-mora, A. Germani, and C. Manes, Design of observers for a driftobservability property, International Journal of Control, vol.45, pp.1536-1540, 2000.

D. M. Dawson, Z. Qu, and J. C. Caroll, On the state estimation output feedback problems for nonlinear uncertain dynamic systems', System & control letters 18, pp.217-222, 1992.

J. C. Deckert, M. N. Desai, and A. S. Willsky, F-8 DFBW sensor failure identification using analytic redundancy, IEEE Transactions on Automatic Control, vol.22, issue.5, pp.795-803, 1977.
DOI : 10.1109/TAC.1977.1101598

E. Delaleau and W. Respondek, Removing input derivaties and lowering their orders in generalized state-space systems, Proceedings of the 31 IEEE Conference on Decision and Control (CDC)', Tuscon, Az, pp.3363-3368, 1992.

J. R. Deller, Set membership identification in digital signal processing, IEEE ASSP Magazine, vol.6, issue.4, pp.4-20, 1989.
DOI : 10.1109/53.41661

G. V. Der-emde, S. Schwarz, L. Gomez, R. Budelli, and K. Grant, Electric fish measure distabce in the dark', Letters to, Nature, vol.395, issue.6705, pp.890-894, 1998.
DOI : 10.1038/27655

L. Devroye, L. Gyorfi, and G. Lugosi, A probabilistic theory of pattern recognition, 1996.
DOI : 10.1007/978-1-4612-0711-5

F. Deza, E. Busvelle, J. P. Gauthier, and D. Rakotopora, High gain estimation for nonlinear systems', System & control letters 18, pp.295-299, 1992.

M. Diehl, H. J. Ferreau, and N. Haverbeke, Efficient Numerical Methods for Nonlinear MPC and Moving Horizon Estimation, pp.317-417, 2009.
DOI : 10.1007/978-3-642-01094-1_32

M. Diehl, R. Findeisen, Z. Nagy, H. G. Bock, J. P. Schlöder et al., Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations, Proc. Contr, pp.577-585, 2002.
DOI : 10.1016/S0959-1524(01)00023-3

X. Ding and L. Guo, An approach to time domain optimization of observer-based fault detection systems, International Journal of Control, vol.69, issue.3, pp.419-442, 1998.
DOI : 10.1080/002071798222749

B. Dubuisson, Diagnostic, intelligence artificielle etreconnaissance de formes, 2001.

C. Edwards, S. K. Spurgeon, and R. J. Patton, Sliding mode observers for fault detection and isolation, Automatica, vol.36, issue.4, pp.541-553, 2000.
DOI : 10.1016/S0005-1098(99)00177-6

F. Evans and J. Wilcox, Experimental strapdown redundant sensor inertial navigation system, Journal of Spacecraft, vol.7, issue.9, 1970.

A. Evuskoff, Le raisonnement approché pour la surveillance de procédés, 1998.

I. Fagarasan and S. Iliescu, Parity equations for fault detection and isolation, 2008 IEEE International Conference on Automation, Quality and Testing, Robotics, pp.99-103
DOI : 10.1109/AQTR.2008.4588715

T. Floquet, F. P. Barbot, W. Perruueti, and M. Djemai, On the robust fault detection via a sliding mode disturbance observer, International Journal of Control, vol.4, issue.7, pp.622-629, 2004.
DOI : 10.1016/0005-1098(76)90041-8
URL : https://hal.archives-ouvertes.fr/hal-00762283

E. Fogel and Y. F. Huang, On the value of information in system identification???Bounded noise case, Automatica, vol.18, issue.2, pp.229-238, 1982.
DOI : 10.1016/0005-1098(82)90110-8

P. M. Frank, Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy, Automatica, vol.26, issue.3, pp.459-474, 1990.
DOI : 10.1016/0005-1098(90)90018-D

P. M. Frank, S. X. Ding, and T. Marcu, Model-based fault diagnosis in technical processes, Transactions of the Institute of Measurement and Control, vol.22, issue.1, pp.57-101, 2000.
DOI : 10.1191/014233100676786880

P. M. Frank, G. Shreier, and E. Alcorta-garcia, Transformation to state affine system and observer designNew Directions in Nonlinear Observer Design, pp.399-422, 1999.

E. A. Garcia and P. Frank, Observer-based fault detection via control system decomposition', Systems Analysis Modelling Simulation, pp.1-3, 1996.

E. A. Garcia and P. M. Frank, Deterministic nonlinear observer-based approaches to fault diagnosis: A survey, Control Engineering Practice, vol.5, issue.5, pp.663-670, 1997.
DOI : 10.1016/S0967-0661(97)00048-8

V. Garg and J. K. Hedrick, Fault detection filters for a class of nonlinear systems, in 'American Control Conference, pp.1647-1651, 1995.

J. P. Gauthier and G. Bornard, Observability for any<tex>u(t)</tex>of a class of nonlinear systems, IEEE Transactions on Automatic Control, vol.26, issue.4, pp.922-926, 1981.
DOI : 10.1109/TAC.1981.1102743

J. P. Gauthier, H. Hammouri, and S. Othman, A simple observer for nonlinear systems ? application to bio-reactors, IEEE Transactions on Automatic Control, vol.37, 1992.

J. P. Gauthier, H. Hammouri, and S. Othman, A simple observer for nonlinear systems applications to bioreactors, IEEE Transactions on Automatic Control, vol.37, issue.6, pp.875-880, 1992.
DOI : 10.1109/9.256352

J. P. Gauthier and I. A. Kupka, Observability and Observers for Nonlinear Systems, SIAM Journal on Control and Optimization, vol.32, issue.4, pp.975-994, 1994.
DOI : 10.1137/S0363012991221791

J. Gertler, Fault Detection and Diagnosis in Engineering systems, 1998.

J. Gertler and D. Singer, A new structural framework for parity equation-based failure detection and isolation, Automatica, vol.26, issue.2, pp.381-388, 1990.
DOI : 10.1016/0005-1098(90)90133-3

M. Grewal and A. Andrews, Kalman filtering : Theory and practice, 1993.
DOI : 10.1002/9781118984987

B. Guo, H. Crossman, J. A. Murphey, Y. L. Coleman, and M. , Automotive signal diagnostics using wavelets and machine learning, IEEE Transactions on Vehicular Tehnology, vol.49, issue.5, pp.1650-1662, 2000.

H. Hammouri and M. Kinnaert, A new procedure for time-varying linearization up to output injection', System & control letters 28, pp.151-157, 1996.

H. Hammouri, M. Kinnaert, and E. H. Yaagoubi, Observer-based approach to fault detection and isolation for nonlinear systems, IEEE Transactions on Automatic Control, vol.44, issue.10, pp.1879-1884, 1999.
DOI : 10.1109/9.793728

D. Hebb, The Organisation of Behavior : A Neuropsychological Theory, 1949.

W. Heiligenberg, Electrolocation of objects in the electric fishEigenmannia (Rhamphichthyidae, Gymnotoidei), Journal of Comparative Physiology, vol.40, issue.2, pp.137-164, 1973.
DOI : 10.1007/BF01352158

R. Hermann and A. J. Krener, Nonlinear controllability and observability, IEEE Transactions on Automatic Control, vol.22, issue.5, pp.728-740, 1977.
DOI : 10.1109/TAC.1977.1101601

A. Hocine, D. Maquin, and J. Ragot, Observateur à mémoire finie pour les systèmes à commutations : application à la détection de défauts, in 'Conférence Internationale Francophone d'Automatique (CIFA', pp.1800-1804, 2004.

M. Hou, K. K. Busawon, and M. Saif, Observer design based on triangular form generated by injective map, IEEE Transactions on Automatic Control, vol.45, issue.7, pp.1350-1355, 2000.
DOI : 10.1109/9.867046

M. Hou and P. C. Muller, Design of observers for linear systems with unknown inputs, IEEE Transactions on Automatic Control, vol.37, issue.6, pp.871-875, 1992.
DOI : 10.1109/9.256351

A. Ingrimundarson, J. M. Bravo, V. Puig, and T. Alamo, Robust fault diagnosis using parallelotope-based set-membership consistency tests, Proceedings of the 44 IEEE Conference on Decision and Control, pp.993-998, 2005.

A. Ingrimundarson, V. Puig, T. Alamo, J. M. Bravo, and P. Guerra, Robust fault detection using zonotope-based set-membership consistency test, International Journal of Adaptive Control and Signal Processing, vol.12, issue.1, pp.311-330, 2008.
DOI : 10.1002/acs.1038

M. Iqbal, A. I. Bhatti, S. Iqbal, and Q. Khan, Parameter estimation based fault diagnosis of uncertain nonlinear three tank system using HOSM differentiator observer, 2009 IEEE 13th International Multitopic Conference, pp.1-6, 2009.
DOI : 10.1109/INMIC.2009.5383150

R. Isermann, Process fault detection based on modeling and estimation methods???A survey, Automatica, vol.20, issue.4, pp.387-404, 1984.
DOI : 10.1016/0005-1098(84)90098-0

R. Isermann, Process fault diagnosis based on dynamic models and parameter estimation methodsFault diagnosis in dynamic systems : theory and applications, 1989.

R. Isermann, Fault diagnosis of machines via parameter estimation and knowledge processing???Tutorial paper, Automatica, vol.29, issue.4, pp.815-835, 1993.
DOI : 10.1016/0005-1098(93)90088-B

R. Isermann, Supervision, fault-detection and fault-diagnosis methods ??? An introduction, Control Engineering Practice, vol.5, issue.5, pp.639-652, 1997.
DOI : 10.1016/S0967-0661(97)00046-4

R. Isermann and B. Freyermuth, PROCESS FAULT DIAGNOSIS BASED ON PROCESS MODEL KNOWLEDGE, Journal A, vol.31, issue.4, pp.58-65, 1990.
DOI : 10.1016/B978-0-08-037034-7.50008-0

S. Jang, B. Joseph, and H. Mukai, Comparison of two approaches to on-line parameter and state estimation of nonlinear systems, Industrial & Engineering Chemistry Process Design and Development, vol.25, issue.3, pp.809-814, 1986.
DOI : 10.1021/i200034a037

L. Jaulin, Le calcul ensembliste par analyse par intervalles et ses applications', Habilitation à diriger des recherches (HDR), 2000.

A. H. Jazwinski, Stochastic processes and filtering theory, Mathematics in Science and Engineering, vol.64, 1970.

T. Jiang, K. Khorasani, and S. Tafazoli, Parameter Estimation-Based Fault Detection, Isolation and Recovery for Nonlinear Satellite Models, IEEE Transactions on Control Systems Technology, vol.16, issue.4, pp.799-808, 2008.
DOI : 10.1109/TCST.2007.906317

R. E. Kalman and R. Bucy, New Results in Linear Filtering and Prediction Theory, Journal of Basic Engineering, vol.83, issue.1, pp.35-40, 1960.
DOI : 10.1115/1.3658902

N. Kazantzis and C. Kravaris, Nonlinear observer design using lyapunov's auxiliary theorem', System & control letters 34, pp.241-247, 1998.
DOI : 10.1109/cdc.1997.649779

H. Keller, Non-linear observer design by transformation into a generalized observer canonical form, International Journal of Control, vol.34, issue.6, pp.1915-1930, 1987.
DOI : 10.1080/00207728408926614

S. R. Kou, D. L. Elliott, and T. J. Tarn, Exponential observers for nonlinear dynamical systems, pp.204-216, 1975.

F. Kratz, Utilisation des techniques de redondances matérielles et analytiques à la détection de pannes de capteurs : Application aux centrales nucléaires, 1991.

F. Kratz and D. Aubry, Finite memory observer for state estimation of hybrid system, in 'IFAC Safeprocess, 2003.

C. Kreisselmeier, Adaptive observers with exponential rate of convergence, IEEE Transactions on Automatic Control, vol.22, issue.1, pp.2-8, 1977.
DOI : 10.1109/TAC.1977.1101401

B. Kreisselmeier and C. , The generation of adaptive law structures for globally convergent adaptive observers, IEEE Transactions on Automatic Control, vol.24, issue.3, pp.510-512, 1979.
DOI : 10.1109/TAC.1979.1102066

A. J. Krener and A. Isidori, Linearization by output injection and nonlinear observers' , System & control letters 3, pp.47-52, 1983.

A. J. Krener and W. Respondek, Nonlinear Observers with Linearizable Error Dynamics, SIAM Journal on Control and Optimization, vol.23, issue.2, pp.197-205, 1985.
DOI : 10.1137/0323016

A. J. Krener and M. Xiao, A necessary and sufficient condition for the existance of a nonlinear observer with linearizable error dynamics, Proceedings of the 40 IEEE Conference on Decision and Control (CDC), pp.2936-2941, 2001.

V. Krishnaswami and G. Rizzoni, A survey of observer-based residual for fdi, Proceedings of the IFAC Symposium on Fault Detection, Superision and safety of Technical Processes-safeprocees '94, pp.34-39, 1994.

M. Krysander and M. Nyberg, Structural analysis utilizing mss sets with application to a paper plant, in 'Thriteen International Workshop on Principles of diagnosis, 2002.

N. Laouti, N. Ssheibat-othman, and S. Othman, Support Vector Machines for Fault Detection in Wind Turbines, Proceedings of the IFAC World Congress, pp.7067-7072, 2011.
DOI : 10.3182/20110828-6-IT-1002.02560

G. Lüders and K. S. Narendra, An adaptive observer and identifier for a linear system, IEEE Transactions on Automatic Control, vol.18, issue.5, pp.496-499, 1973.
DOI : 10.1109/TAC.1973.1100369

G. Lüders and K. S. Narendra, A new canonical form for an adaptive observer, IEEE Transactions on Automatic Control, vol.19, issue.2, pp.117-119, 1974.
DOI : 10.1109/TAC.1974.1100499

G. Lüders and K. S. Narendra, Stable adaptive schemes for state estimation and identification of linear systems, IEEE Transactions on Automatic Control, vol.19, issue.6, pp.841-847, 1974.
DOI : 10.1109/TAC.1974.1100728

J. Lee and F. Ramirez, Mathematical modelling of induced doreign procduction by recombinant bacteria, Biotech. Bioeng', vol.29, pp.635-646, 1992.

C. W. Li and L. W. Tao, Observing non-linear time-variable systems through a canonical form observer, International Journal of Control, vol.44, issue.6, pp.1703-1713, 1986.
DOI : 10.1080/00207177308932395

D. Lunberger, Observers for multivariable systems, IEEE Transactions on Automatic Control, vol.11, issue.2, pp.190-197, 1966.
DOI : 10.1109/TAC.1966.1098323

D. Lunberger, An introduction to observers, IEEE Transactions on Automatic Control, vol.16, issue.6, pp.596-602, 1971.
DOI : 10.1109/TAC.1971.1099826

R. Marino and P. Tomei, Global adaptive observers for nonlinear systems via filtered transformations, IEEE Transactions on Automatic Control, vol.37, issue.8, pp.1239-1245, 1992.
DOI : 10.1109/9.151117

R. Marino and P. Tomei, Adaptive observers with arbitrary exponential rate of convergence for nonlinear systems, IEEE Transactions on Automatic Control, vol.40, issue.7, pp.1300-1304, 1995.
DOI : 10.1109/9.400471

M. Masson, B. Dubuisson, and C. Frélicot, Conception d'un module de reconnaissance des formes floues pour le diagnostic, Journal Européen des systèmes automatisésJESA), vol.30, issue.2-3, pp.319-341, 1996.

A. Mechraoui, K. Medjaher, and N. Zerhouni, Bayesian based fault diagnosis: application to an electrical motor, Proc. of the 17th IFAC World Congress, 2008.
DOI : 10.3182/20080706-5-KR-1001.01248
URL : https://hal.archives-ouvertes.fr/hal-00298240

A. Medvedev and H. Toivonen, A continuous fnite memory deadbeat observer, in 'American Control Conference, pp.1800-1804, 1992.

R. K. Mehra and J. Peschon, An innovations approach to fault detection and diagnosis in dynamic systems, Automatica, vol.7, issue.5, pp.637-640, 1971.
DOI : 10.1016/0005-1098(71)90028-8

H. Michalska and D. Q. Mayne, Moving horizon observers and observer-based control, IEEE Transactions on Automatic Control, vol.40, issue.6, pp.995-1006, 1995.
DOI : 10.1109/9.388677

M. Milanese and G. Belforte, Estimation theory and uncertainty intervales evaluation in presence of unknown but bound errors : linear families of models and estimators, IEEE Transactions on Automatic Control, vol.2, pp.408-414, 1982.

L. Mironovski, Functional diagnosis of dynamic system -a survey', Automation Remote Control 41, pp.1122-1143, 1980.

E. A. Misawa and J. K. Hedrick, Nonlinear Observers???A State-of-the-Art Survey, Journal of Dynamic Systems, Measurement, and Control, vol.111, issue.3, pp.1204-1217, 1989.
DOI : 10.1115/1.3153059

J. Montmain and S. Gentil, Dynamic causal model diagnostic reasoning for online technical process supervision, Automatica, vol.36, issue.8, pp.1137-1152, 2000.
DOI : 10.1016/S0005-1098(00)00024-8

K. Nam, An approximate nonlinear observer with polynomial coordinate transformation maps, IEEE Transactions on Automatic Control, vol.42, issue.4, pp.522-527, 1997.
DOI : 10.1109/9.566662

M. Nardi, I. Trezzani, H. Hammouri, and P. Dhurjati, Mathematical model and observer for recombinant escherichia coli strain with bioluminescence indicator genes, Proceedings of the Second International Symposium on Communications, Control and Signal Processing, 2006.

S. Nicosia, P. Tomei, and A. Tornambè, feedback control of elastic robots by pseudolinearization techniques, Proceedings of the 25 IEEE Conference on Decision and Control (CDC), 1986.

S. Nicosia, P. Tomei, and A. Tornambè, An approximative observer for a class of nonlinear systems', System & control letters 12, pp.43-51, 1989.

P. F. Odgaard and J. Stoustrup, Unknown Input Observer Based Scheme for Detecting Faults in a Wind Turbine Converter, Proceedings of the 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, pp.161-166, 2009.
DOI : 10.3182/20090630-4-ES-2003.00027

P. F. Odgaard and J. Stoustrup, Unknown input observer based detection of sensor faults in a wind turbine, 2010 IEEE International Conference on Control Applications, pp.310-315, 2010.
DOI : 10.1109/CCA.2010.5611266

P. F. Odgaard, J. Stoustrup, and M. Kinnaert, Fault tolerant control of a wind turbine-a benchmark model, Proceedings of the 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, pp.155-160, 2009.

P. F. Odgaard, J. Stoustrup, R. Nielsen, and C. Damgaard, Observer based detection of sensor faults in wind turbines, Proceedings of Europeen Wind Energy Conference, 2009.

O. Omar and M. Alamir, Reducing computational complexity in moving horizon observers using partial explicit map inversion, Proceedings of the IEEE CDC- ECC 2011, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00608816

O. Omar and M. Alamir, On the use of partial explicit inversion maps in moving horizon observers. Application to the estimation problem in E.Coli culture, Journal Europ??en des Syst??mes Automatis??s, vol.46, issue.2-3, pp.167-181, 2012.
DOI : 10.3166/jesa.46.167-181
URL : https://hal.archives-ouvertes.fr/hal-00867888

R. J. Patton, Robust model-based fault diagnosis : the state of the art, Proceedings of the IFAC Symposium on Fault Detection Supervision and Safety for Technical Process, pp.1-24, 1994.

R. J. Patton and J. Chen, Observer-based fault detection and isolation: Robustness and applications, Control Engineering Practice, vol.5, issue.5, pp.671-682, 1997.
DOI : 10.1016/S0967-0661(97)00049-X

C. D. Persis and A. Isidori, A geometric approach to nonlinear fault detection and isolation, IEEE Transactions on Automatic Control, vol.45, issue.6, pp.853-865, 2001.
DOI : 10.1109/9.928586

A. R. Phelps, On Constructing Nonlinear Observers, SIAM Journal on Control and Optimization, vol.29, issue.3, pp.516-534, 1991.
DOI : 10.1137/0329030

F. Plestan, A new approach for the linearization of MIMO systems by input-output injection, Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995.
DOI : 10.1109/CDC.1995.480217

F. Plestan and A. Glumineau, Linearization by generalized input-output injection', System & control letters 31, pp.115-128, 1997.

S. Ploix, O. Adrot, and J. Ragot, Bounding appraoch to the diagnosis of a class of uncertainstatic systems, in 'SAFEPROCESS, 2000.

J. Potter and M. Suman, Thresholdless redundancy managements with arrays of skewed instruments. Integrity in electonic flight control systems, pp.1-25, 1977.

P. Poure, P. Weber, D. Theilliol, and S. Saadate, Fault-tolerant Power Electronic Converters: Reliability Analysis of Active Power Filter, 2007 IEEE International Symposium on Industrial Electronics, pp.3174-3179, 2007.
DOI : 10.1109/ISIE.2007.4375123
URL : https://hal.archives-ouvertes.fr/hal-00164824

T. P. Proychev and R. L. Mishokov, Transformation of nonlinear systems in observer canonical form with reduced dependency on derivatives of the input, Automatica, vol.29, issue.2, pp.495-498, 1993.
DOI : 10.1016/0005-1098(93)90145-J

Z. Quinghua, A new residual generation and evaluation method for detection and isolation of faults in non-linear systems, International Journal of Adaptive Control and signal Processing, vol.14, pp.759-773, 2000.

S. Raghavan and K. Hedrick, Observer design for a class of nonlinear systems, International Journal of Control, vol.59, issue.2, pp.515-528, 1994.
DOI : 10.1109/9.53535

J. Ragot, D. Maquin, and D. Sauter, Data validation using orthogonal filters, IEE Proceedings D Control Theory and Applications, vol.139, issue.1, pp.47-52, 1992.
DOI : 10.1049/ip-d.1992.0007
URL : https://hal.archives-ouvertes.fr/hal-00144071

R. Rajamani, Observers for Lipschitz nonlinear systems, IEEE Transactions on Automatic Control, vol.43, issue.3, pp.397-401, 1998.
DOI : 10.1109/9.661604

R. Rajamani and Y. M. Cho, Existence and design of observers for nonlinear systems: Relation to distance to unobservability, International Journal of Control, vol.69, issue.5, pp.717-731, 1998.
DOI : 10.1080/002071798222640

R. Kandepu, B. Foss, and L. I. , Applying the unscented Kalman filter for nonlinear state estimation, Journal of Process Control, vol.18, issue.7-8, pp.753-768, 2008.
DOI : 10.1016/j.jprocont.2007.11.004

A. Ray and M. Desai, A fault detection and isolation methodology. theory and application, Proc. of American Control Conference, pp.262-270, 1984.

A. Ray and M. Desai, A Redundancy Management Procedure for Fault Detection and Isolation, Journal of Dynamic Systems, Measurement, and Control, vol.108, issue.3, pp.248-254, 1986.
DOI : 10.1115/1.3143774

V. Reppa, M. Vagia, and A. Tzes, Fault detection using set membership identification for micro-electrostatic actuators, Proceedings of the 16th IEEE International Conference on control Applications Part of the IEEE Mutli-conference on Systems and Control', Singapore, pp.789-794, 2007.

K. Rothenhagen and F. W. Fuchs, Current sensor fault detection and reconfiguration for a doubly fed induction generator, Proc. IEEE Power Electronics Specialists Conference PESC 2007, pp.2732-2738, 2007.

K. Rothenhagen, S. Thomsen, and F. W. Fuchs, Voltage Sensor Fault Detection and Reconfiguration for a Doubly Fed Induction Generator, 2007 IEEE International Symposium on Diagnostics for Electric Machines, Power Electronics and Drives, pp.377-382, 2007.
DOI : 10.1109/DEMPED.2007.4393123

M. G. Safonov and M. Athans, Robustness and computational aspects of nonlinear stochastic estimators and regulators, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications, pp.717-725, 1978.
DOI : 10.1109/CDC.1977.271758

J. E. Slotine, J. K. Hedrick, and E. A. Misawa, On Sliding Observers for Nonlinear Systems, Journal of Dynamic Systems, Measurement, and Control, vol.109, issue.3, pp.245-252, 1987.
DOI : 10.1115/1.3143852

J. E. Slotine, Sliding controller design for nonlinear systems, International Journal of Control, vol.40, 1984.

J. E. Slotine, J. K. Hedrick, and E. A. Misawa, Fast nonlinear filtering via garlekin's method, Proceedings of the American Control Conference, 1986.

B. Sohlberg, Monitoring and failure diagnosis of a streel strip process, IEEE Trans. Contr. Syst. Techno, vol.6, issue.2, pp.297-303, 1998.

S. Ploix, Diagnostic des systèmes incertains : l'approche bornante, 1998.

T. Sproesser and G. L. Gissinger, A method for fault detection using parameter and state estimation, artificial intelligence in real-time control, Artificial Intelligence in Real-time Control, vol.17, pp.241-246, 1992.

M. Staroswiecki and G. Comtet-varga, Analytical redundancy relations for fault detection and isolation in algebraic dynamic systems, Automatica, vol.37, issue.5, pp.687-699, 2001.
DOI : 10.1016/S0005-1098(01)00005-X

F. Stoican, C. F. Raduinea, and S. Olaru, Adaptation of set theoretic methods to the fault detection of a wind turbine benchmark, Proceedings of the IFAC World Congress, pp.8322-8327, 2011.
DOI : 10.3182/20110828-6-IT-1002.01842
URL : https://hal.archives-ouvertes.fr/hal-00592382

H. J. Sussmann, Single-input observability of continuous-time systems, Mathematical Systems Theory, vol.301, issue.6, pp.371-393, 1979.
DOI : 10.1007/BF01776584

C. Svärd and M. Nyberg, Residual generators for fault diagnosis using computation seuqences with mixed causality applied to automative systems', Sytems, MAn and Cybernetics, Part A : Systems and Humans, IEEE Tansactions on, vol.40, issue.6, pp.1310-1328, 2010.

C. Svärd and M. Nyberg, Automated design of an fdi-system for the wind turbine benchmark, Proceedings of the IFAC World Congress, pp.8307-8315, 2011.

R. H. Takahashi and P. L. Peres, Unknown Input Observers for Uncertain Systems: A Unifying Approach, European Journal of Control, vol.5, issue.2-4, pp.261-275, 1999.
DOI : 10.1016/S0947-3580(99)70161-5

F. E. Thau, Observing the state of non-linear dynamic systems???, International Journal of Control, vol.82, issue.3, pp.471-479, 1973.
DOI : 10.1109/TAC.1966.1098323

A. Tornambè, High-gain observers for non-linear systems, International Journal of Systems Science, vol.5, issue.9, pp.1475-1489, 1992.
DOI : 10.1016/0167-6911(87)90021-1

P. W. Tse, W. Xian-yang, and H. Y. Tam, Machine fault diagnosis through an effective exact wavelet analysis, Journal of Sound and Vibration, vol.277, issue.4-5, pp.4-5, 2004.
DOI : 10.1016/j.jsv.2003.09.031

J. Tsinias, Observer design for nonlinear systems', System & control letters 13, pp.135-142, 1989.

S. Tzafestas and K. Watanab, Modern approaches to system/sensor fault detection and diagnosis, Journal A, vol.31, issue.4, pp.42-57, 1990.

A. Tzes and K. Le, Fault detection for jump discrete systems, IEEE Proceedings of the American Control Conference, 1999.

V. I. Utkin, Variable structure systems with sliding modes, IEEE Transactions on Automatic Control, vol.22, issue.2, 1977.
DOI : 10.1109/TAC.1977.1101446

V. Vapnik, The nature of statistical learning theory, 1995.

V. Venkatasubramanian, R. Vaidyanathan, and Y. Yamamoto, Process fault detection and diagnosis using neural networks???I. steady-state processes, Computers & Chemical Engineering, vol.14, issue.7, pp.699-712, 1990.
DOI : 10.1016/0098-1354(90)87081-Y

B. Walcott, M. Coreless, and S. Zak, Comparative study of non-linear state-observation techniques, International Journal of Control, vol.45, issue.6, pp.2109-2132, 1987.
DOI : 10.1080/00207178708933870

B. Walcott and H. Zak, State observation of nonlinear uncertain dynamical systems, IEEE Transactions on Automatic Control, vol.32, issue.2, pp.166-170, 1987.
DOI : 10.1109/TAC.1987.1104530

H. Wang, Z. J. Huang, and S. Dahey, On the use of adaptive updating rules for actuator and sensor fault diagnosis, Automatica, vol.33, issue.2, pp.217-225, 1997.
DOI : 10.1016/S0005-1098(96)00155-0

S. Wang, E. Davison, and P. Dorato, Observing the states of systems with unmeasurable disturbances, IEEE Transactions on Automatic Control, vol.20, issue.5, pp.716-727, 1975.
DOI : 10.1109/TAC.1975.1101076

J. Watkins and S. Yurkovish, Fault detection using set-membership identification, 1996.

X. Wei, M. Verhaegen, and T. Van-den-engelen, Sensor Fault Diagnosis of Wind Turbines for Fault Tolerant, Proceedings of the 17th IFAC World Congress, pp.3222-3227, 2008.
DOI : 10.3182/20080706-5-KR-1001.00547

A. Widodo and B. S. Yang, Support vector machine in machine condition monitoring and fault diagnosis, Mechanical Systems and Signal Processing, pp.2560-2574, 2007.
DOI : 10.1016/j.ymssp.2006.12.007

R. Williams, B. Rasnow, and C. Assad, Hypercube Simulation of Electric Fish Potentials, Proceedings of the Fifth Distributed Memory Computing Conference, 1990., 1990.
DOI : 10.1109/DMCC.1990.555422

A. Willsky, A survey of design methods for failure detection in dynamic systems, Automatica, vol.12, issue.6, pp.601-611, 1976.
DOI : 10.1016/0005-1098(76)90041-8

N. Wiswanadham and R. Srichander, Fault detection using unknown input observers, Control Theory and Advanced Technology, vol.3, issue.2, pp.91-101, 1987.

X. Xia and W. Gao, Nonlinear Observer Design by Observer Error Linearization, SIAM Journal on Control and Optimization, vol.27, issue.1, pp.199-216, 1989.
DOI : 10.1137/0327011

Y. Xiong and S. Mehrdad, Robust fault detection and isolation via a diagnostic observer, International Journal of Robust and Nonlinear Control, vol.19, issue.14, pp.1175-1192, 2000.
DOI : 10.1002/1099-1239(20001215)10:14<1175::AID-RNC522>3.0.CO;2-Q

H. Yang and M. Saif, Nonlinear adaptive observer design for fault detection, in 'American Control Conference, pp.1136-1139, 1995.

S. Yang, W. Li, and C. Wang, The intelligent fault diagnosis of wind turbine gearbox based on artifical neural network, Proc. of 2008 Inetnational Conference on Condition Monitoring and Diagnosis, 2008.

B. Youssef, Diagnostic par signatures graphiques des systèmes non linéaires, 2005.

B. Youssef and M. Alamir, Generic signature based tool for diagnosis and parametric estimation for multi-variable dynamical nonlinear systems, Proceedings of the 42th Conference on Decision and Control, 2003.

B. Youssef and M. Alamir, DIAGNOSIS AND ON-LINE PARAMETRIC ESTIMATION OF AUTOMOTIVE ELECTRONIC THROTTLE CONTROL SYSTEMS, Proceedings of the IFAC World Congress, 2005.
DOI : 10.3182/20050703-6-CZ-1902.01913

B. Youssef, M. Alamir, and F. Ibrahim, Diagnosis and on-line parametric estimation of simulated moving bed, Proceedings of the 44th IEEE Conference on Decision and Control, 2005.
DOI : 10.1109/CDC.2005.1583398

M. Zeitz, The extended lunberger observer for nonlinear systems', System & control letters 9, pp.194-153, 1987.

J. Zhang and Y. Yan, A wavelet-based approach to abrupt fault detection and diagnosis of sensors, IEEE Transactions on Instrumentation and Measurement, vol.50, issue.5, pp.1389-1396, 2001.
DOI : 10.1109/19.963215

Q. Zhang and A. Xu, Global adaptive observers for a class of nonlinear systems, Proceedings of the 40 IEEE Conference on Decision and Control, pp.3360-3366, 2001.

G. Zimmer, State observation by on-line minimization, International Journal of Control, vol.30, issue.4, pp.595-606, 1994.
DOI : 10.1080/00207179408921482

A. Zolghadri, An algorithm for real-time failure detection in Kalman filters, IEEE Transactions on Automatic Control, vol.41, issue.10, pp.1537-1539, 1996.
DOI : 10.1109/9.539440