R. Seliger and P. M. Frank, Fault-diagnosis by disturbance decoupled nonlinear observers, [1991] Proceedings of the 30th IEEE Conference on Decision and Control, pp.2248-2253, 1991.
DOI : 10.1109/CDC.1991.261547

M. Hou and P. C. Muller, Fault detection and isolation observers, International Journal of Control, vol.3, issue.5, pp.60-827, 1994.
DOI : 10.1016/0005-1098(76)90041-8

J. Gertler, Fault detection and isolation using parity relations, Control Engineering Practice, vol.5, issue.5, pp.653-661, 1997.
DOI : 10.1016/S0967-0661(97)00047-6

M. Zhong, S. X. Ding, J. Lam, W. , and H. , An LMI approach to design robust fault detection filter for uncertain LTI systems, Automatica, vol.39, issue.3, pp.39-543, 2003.
DOI : 10.1016/S0005-1098(02)00269-8

H. Zhao, M. Zhong, and M. Zhang, H? fault detection for linear discrete time-varying systems with delayed state, IET Control Theory & Applications, pp.2303-2314, 2010.

H. Wang and Y. , A finite frequency domain approach to fault detection for linear discrete-time systems, International Journal of Control, vol.81, issue.7, pp.81-1162, 2008.
DOI : 10.1049/ip-cta:20045085

H. Yang, Y. Xia, and B. Liu, Fault Detection for T?S Fuzzy Discrete Systems in Finite-Frequency Domain, IEEE Transactions on Systems, Man, and Cybernetics, issue.4, pp.41-911, 2011.

Y. Long and G. Yang, Fault detection for a class of networked control systems with finite-frequency servo inputs and random packet dropouts, IET Control Theory & Applications, vol.6, issue.15, pp.6-2397, 2012.
DOI : 10.1049/iet-cta.2012.0333

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

S. X. Ding, Model-based fault diagnosis techniques: Design schemes, algorithms, and tools, 2008.
DOI : 10.1007/978-1-4471-4799-2

R. Isermann, Fault-Diagnosis Systems: An Introduction from Fault Detection to Fault Tolerance, 2006.
DOI : 10.1007/3-540-30368-5

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

I. Hwang, S. Kim, Y. Kim, and C. E. Seah, A Survey of Fault Detection, Isolation, and Reconfiguration Methods, IEEE Transactions on Control Systems Technology, vol.18, issue.3, pp.18-636, 2010.
DOI : 10.1109/TCST.2009.2026285

X. Dai and Z. Gao, From Model, Signal to Knowledge: A Data-Driven Perspective of Fault Detection and Diagnosis, IEEE Transactions on Industrial Informatics, vol.9, issue.4, pp.2226-2238, 2013.
DOI : 10.1109/TII.2013.2243743

L. Dai, Singular Control Systems, 1989.
DOI : 10.1007/BFb0002475

G. R. Duan, Analysis and design of descriptor linear systems, 2010.
DOI : 10.1007/978-1-4419-6397-0

L. Dai, Observers for discrete singular systems, IEEE Transactions on Automatic Control, vol.33, issue.2, pp.33-187, 1988.
DOI : 10.1109/9.387

M. Darouach and M. Boutayeb, Design of observers for descriptor systems, IEEE Transactions on Automatic Control, vol.40, issue.7, pp.40-1323, 1995.
DOI : 10.1109/9.400467

URL : https://hal.archives-ouvertes.fr/hal-00922599

M. Hou and P. C. Muller, Observer design for descriptor systems, IEEE Transactions on Automatic Control, vol.44, issue.1, pp.164-169, 1999.
DOI : 10.1109/9.739112

G. Lu and D. W. Ho, Full-order and reduced-order observers for Lipschitz descriptor systems: The unified LMI approach, IEEE Transactions on Circuits and SystemsII: Express Briefs, issue.7, pp.53-563, 2006.

Z. Wang, Y. Shen, X. Zhang, W. , and Q. , Observer design for discrete-time descriptor systems: An LMI approach, Systems & Control Letters, vol.61, issue.6, pp.61-683, 2012.
DOI : 10.1016/j.sysconle.2012.03.006

H. Hammouri and M. Nadri, An observer design for a class of implicit systems, Systems & Control Letters, vol.62, issue.3, pp.62-256, 2013.
DOI : 10.1016/j.sysconle.2012.11.001

A. T. Vemuri, M. M. Polycarpou, and A. R. Ciric, Fault diagnosis of differential-algebraic systems, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, vol.31, issue.2, pp.31-143, 2001.
DOI : 10.1109/3468.911372

G. R. Duan, D. Howe, and R. J. Patton, Robust fault detection in descriptor linear systems via generalized unknown input observers, International Journal of Systems Science, vol.4, issue.5, pp.33-369, 2002.
DOI : 10.1016/0024-3795(90)90144-2

Z. Gao and S. X. Ding, Fault estimation and fault-tolerant control for descriptor systems via proportional, multiple-integral and derivative observer design, IET Control Theory & Applications, pp.1208-1218, 2007.

Z. Wang, Y. Shen, and X. Zhang, Actuator fault estimation for a class of nonlinear descriptor systems, International Journal of Systems Science, vol.6, issue.3, pp.45-487
DOI : 10.1016/j.arcontrol.2008.03.008

B. Marx, D. Koenig, R. , and J. , Design of observers for Takagi-Sugeno descriptor systems with unknown inputs and application to fault diagnosis, IET Control Theory & Applications, pp.1487-1495, 2007.

M. Chadli, A. Abdo, and S. X. Ding, fault detection filter design for discrete-time Takagi???Sugeno fuzzy system, Automatica, vol.49, issue.7, pp.49-1996, 2013.
DOI : 10.1016/j.automatica.2013.03.014

C. M. Astorga-zaragoza, D. Theilliol, J. C. Ponsart, and M. Rodrigues, Fault diagnosis for a class of descriptor linear parameter-varying systems, International Journal of Adaptive Control and Signal Processing, vol.42, issue.8, pp.26-208, 2012.
DOI : 10.1002/acs.1259

URL : https://hal.archives-ouvertes.fr/hal-00605392

Y. Zhang and J. Jiang, Bibliographical review on reconfigurable fault-tolerant control systems, Annual Reviews in Control, vol.32, issue.2, pp.32-229, 2008.
DOI : 10.1016/j.arcontrol.2008.03.008

M. Zhong, S. X. Ding, Q. Han, and Q. Ding, Parity space-based fault estimation for linear discrete time-varying systems, IEEE Transactions on Automatic Control, issue.7, pp.55-1726, 2010.

A. Xu and Q. Zhang, Nonlinear system fault diagnosis based on adaptive estimation, Automatica, vol.40, issue.7, pp.40-1181, 2004.
DOI : 10.1016/j.automatica.2004.02.018

K. Zhang, B. Jiang, and P. Shi, Fast fault estimation and accommodation for dynamical systems, IET Control Theory & Applications, vol.3, issue.2, pp.189-199, 2009.
DOI : 10.1049/iet-cta:20070283

Y. Shen, L. Liu, and E. H. Dowell, Actuator fault-tolerant robust control for a linear system with adaptive fault identification, pp.246-252, 2013.

H. Alwi, C. Edwards, and C. P. Tan, Sliding mode estimation schemes for incipient sensor faults, Automatica, vol.45, issue.7, pp.45-1679, 2009.
DOI : 10.1016/j.automatica.2009.02.031

URL : https://ore.exeter.ac.uk/repository/bitstream/10871/18823/1/AUTincipient_2col_v3.pdf

B. Jiang and F. N. Chowdhury, Fault estimation and accommodation for linear MIMO discrete-time systems, IEEE Transactions on Control Systems Technology, issue.3, pp.13-493, 2005.

J. Keller, Fault isolation filter design for linear stochastic systems, Automatica, vol.35, issue.10, pp.1701-1706, 1999.
DOI : 10.1016/S0005-1098(99)00079-5

A. Ben-israel and T. Greville, Generalized inverses: Theory and applications, p.2, 2003.

Q. Zhang, Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems, IEEE Transactions on Automatic Control, vol.47, issue.3, pp.47-525, 2002.
DOI : 10.1109/9.989154

K. Hsiung and L. Lee, Lyapunov inequality and bounded real lemma for discrete-time descriptor systems, IEE Proceedings -Control Theory & Applications, pp.146-327, 1999.
DOI : 10.1049/ip-cta:19990451

S. Boyd, E. Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in system and control theory, 1994.
DOI : 10.1137/1.9781611970777