M. Blanke, M. Kinnaert, J. Lunze, and M. Staroswiecki, Diagnosis and Fault-Tolerant Control, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01789124

F. Blanchini and S. Miani, Set-theoretic Methods in Control, 2008.

Y. M. Zhang and J. Jiang, Bibliographical review on reconfigurable fault-tolerant control systems, Annual Reviews in Control, vol.32, issue.2, pp.229-252, 2008.

Y. Wang, V. Puig, and G. Cembrano, Non-linear economic model predictive control of water distribution networks, Journal of Process Control, vol.56, pp.23-34, 2017.

J. Mohammadpou and C. W. Scherer, Control of Linear Parameter Varying Systems with Applications, 2012.

J. S. Shamma and M. Athans, Gain scheduling: Potential hazards and possible remdies, IEEE Control Systems, vol.12, issue.3, pp.101-107, 1992.

J. Boker, Z. Szabo, and G. Stikkel, Failure detection for quasi LPV systems, Proceedings of the 41th IEEE Conference on Decision and Control, 2002.

M. Sato, Gain-scheduled flight controller using bounded inexact scheduling parameters, IEEE Transactions on Control Systems Technology, vol.26, issue.3, pp.1074-1082, 2018.

S. Gómez-peñate, G. Valencia-palomo, F. R. López-estrada, C. M. Atorga-zaragoza, R. A. Osornio-rios et al., Sensor fault diagnosis based on a H1 sliding mode and unknown input observer for Takagi-Sugeno systems with uncertain premise variables, Asian Journal of Control, vol.21, issue.1, pp.339-353, 2019.

H. Hamdi, M. Rodrigues, C. Mechmeche, D. Theilliol, and N. B. Braiek, State estimation for polytopic LPV descriptor systems: application to fault diagnosis, the 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00422479

G. I. Bara, J. Daafouz, J. Ragot, and F. Kratz, State estimation for affine LPV systems, Proceedings of the 39th IEEE Conference on Decision and Control, 2000.

F. Blanchini and S. Miani, Stabilization of lpv systems: state feedback, state estimation and duality, Proceedings of the 42nd IEEE Conference on Decision and Control, 2003.

A. H. Hassanabadi, M. Shafiee, and V. Puig, Robust fault detection of singular LPV systems with multiple time-varying delays, International Journal of Applied Mathematics and Computer Science, vol.26, issue.1, pp.45-61

F. Xu, J. B. Tan, Y. Wang, X. Q. Wang, B. Liang et al., Robust fault detection and set-theoretic UIO for discrete-time LPV systems with state and output equations scheduled by inexact scheduling variables, IEEE Transactions on Automatic Control, 2019.

R. E. Kalman, A new approach to linear filtering and prediction problems, Journal of basic Engineering, vol.82, issue.1, pp.35-45, 1960.

P. S. Maybeck, Stochastic models, estimation, and control, 1982.

T. Alamo, J. M. Bravo, and E. F. Camacho, Guaranteed state estimation by zonotopes, Proceedings of the 42nd IEEE Conference on Decision and Control, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00708563

X. J. Li and G. H. Yang, Fault detection in finite frequency domain for takagi-sugeno fuzzy systems with sensor faults, IEEE Transactions on Cybernetics, vol.44, issue.8, pp.1446-1458, 2013.

G. Tao, Direct adaptive actuator failure compensation control: a tutorial, Journal of Control and Decision, vol.1, issue.1, pp.75-101, 2014.

M. Pourasghar, C. Combastel, V. Puig, and C. Ocampo-martinez, FD-ZKF: A zonotopic kalman filter optimizing fault detection rather than state estimation, Journal of Process Control, issue.73, pp.89-102, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02399033

F. Nejjari, V. Puig, S. Montes-de-oca, and A. Sadeghzadeh, Robust fault detection for LPV systems using interval observers and zonotopes, Proceedings of 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, 2009.

C. Combastel, Zonotopes and kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence, Automatica, vol.55, pp.265-273, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01650799

Y. Wang, V. Puig, F. Xu, and G. Cembrano, Robust fault detection and isolation based on zonotopic unknown input observers for discrete-time descriptor systems, Journal of the Franklin Institute, vol.356, issue.10, pp.5293-5314, 2019.

J. Chen and R. J. Patton, Robust Model-Based Fault Diagnosis for Dynamic Systems, 1999.

J. Löfberg, Automatic robust convex programming. Optimization methods and software, vol.27, pp.115-129, 2012.

M. Grant and S. Boyd, Graph implementations for nonsmooth convex programs, Recent Advances in Learning and Control, pp.95-110, 2008.

R. Nazari, M. M. Seron, and J. A. De-donà, On virtual actuators for lpv systems under errors in the measurement of the varying parameter, Proceedings of the 5th Australian Control Conference (AUCC), 2015.

R. E. Moore, R. B. Kearfott, and M. J. Cloud, Introduction to Interval Analysis, 2009.

J. Daafouz and J. Bernussou, Parameter dependent lyapunov functions for discrete time systems with time varying parametric uncertainties, Systems & Control Letters, vol.43, issue.5, pp.355-399, 2001.

D. Rotondo, F. Nejjari, and V. Puig, A virtual actuator and sensor approach for fault tolerant control of LPV systems, Journal of Process Control, vol.24, issue.3, pp.203-222, 2014.

T. Alamo, J. M. Bravo, and E. F. Camacho, Guaranteed state estimation by zonotopes, Automatica, vol.41, issue.6, pp.1035-1043, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00708563

S. Russ, A translation of bolzano's paper on the intermediate value theorem, Historia Mathematica, vol.7, issue.2, pp.156-185, 1980.

M. Raydan, Exact order of convergence of the secant method, Journal of Optimization Theory and Applications, vol.78, issue.3, pp.541-551, 1993.

M. Rodrigues, H. Hamdi, D. Theilliol, C. Mechmeche, and N. Benhadj-braiek, Fault diagnosis based on adaptive polytopic observer for LPV descriptor systems, 8th IFAC Symposium on Fault Detection, SAFEPROCESS, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00727330

X. D. Zhang, Matrix Analysis and Application, 2016.

W. Kuhn, Rigorously computed orbits of dynamical systems without the wrapping effect, Computing, issue.1, p.61, 1998.