A. Moghadam, A. Aksikas, I. Dubljevic, S. Forbes, and J. , LQR control of an infinite dimensional time-varying CSTR-PFR system*, 18th IFAC World Congress, 2011.
DOI : 10.3182/20110828-6-IT-1002.02195

S. Amin, M. Falk, A. M. Hante, and . Bayen, Exponential Stability of Switched Linear Hyperbolic Initial-Boundary Value Problems, IEEE Transactions on Automatic Control, vol.57, issue.2, pp.291-301, 2012.
DOI : 10.1109/TAC.2011.2158171

A. Bhagwat, R. Srinivasan, and P. R. Krishnaswamy, Multi-linear model-based fault detection during process transitions, Chemical Engineering Science, vol.58, issue.9, pp.1649-1670, 2003.
DOI : 10.1016/S0009-2509(03)00008-3

J. M. Coron, B. Novel, and G. Bastin, A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws, IEEE Transactions on Automatic Control, vol.52, issue.1, pp.2-11, 2007.
DOI : 10.1109/TAC.2006.887903

R. F. Curtain and H. Zwart, An introduction to Infinite Dimensional Linear Systems, 1995.
DOI : 10.1007/978-1-4612-4224-6

S. Dashkovskiy and A. Mironchenko, Input-to-state stability of infinite-dimensional control systems, Mathematics of Control, Signals, and Systems, vol.45, issue.641, pp.1-35, 2013.
DOI : 10.1007/s00498-012-0090-2

A. B. De-saint-venant, Théorie du mouvement non permanent des eaux avec applications aux crues desrivì eres etàet`età l'introduction des marées dans leur lit. Comptes rendus de l'Académie des Sciences de Paris 73, pp.148-154

D. Santos, V. Bastin, G. Coron, J. M. Novel, and B. , Boundary control with integral action for hyperbolic systems of conservation laws: Stability and experiments, Automatica, vol.44, issue.5, pp.1310-1318, 2008.
DOI : 10.1016/j.automatica.2007.09.022

D. Santos, V. Prieur, and C. , Boundary Control of Open Channels With Numerical and Experimental Validations, IEEE Transactions on Control Systems Technology, vol.16, issue.6, pp.1252-1264, 2008.
DOI : 10.1109/TCST.2008.919418

D. Santos, V. Toure, Y. Mendes, E. Courtial, and E. , MULTIVARIABLE BOUNDARY CONTROL APPROACH BY INTERNAL MODEL, APPLIED TO IRRIGATION CANALS REGULATION, Proc. 16th IFAC World Congress, 2005.
DOI : 10.3182/20050703-6-CZ-1902.02101

URL : https://hal.archives-ouvertes.fr/hal-00195122

D. Santos-martins, V. Rodrigues, and M. , A Proportional Integral Feedback for Open Channels Control trough LMI Design, 18th IFAC World Congress, 2011.
DOI : 10.3182/20110828-6-IT-1002.01037

D. Santos-martins, V. Rodrigues, M. Diagne, and M. , A Multi-Models Approach of Saint-Venant's Equations: A Stability study LMI, Int. Jour. of Applied Mathematics and Computer Science, vol.22, issue.3, 2012.

J. F. Dulhoste, G. Besançon, and D. Georges, Nonlinear control of water flow dynamics by input-output linearisation based on a collocation model, European control conf, 2001.

E. Gatzke and F. Doyle, Use of multiple models and qualitative knowledge for on-line moving horizon disturbance estimation and fault diagnosis, Journal of Process Control, vol.12, issue.2, pp.339-352, 2002.
DOI : 10.1016/S0959-1524(01)00037-3

J. M. Greenberg and T. Li, The effect of boundary damping for the quasilinear wave equation, Journal of Differential Equations, vol.52, issue.1, pp.66-75, 1984.
DOI : 10.1016/0022-0396(84)90135-9

D. J. Leith and W. E. Leithead, Survey of gain-scheduling analysis and design, International Journal of Control, vol.73, issue.11, pp.1001-1025, 2000.
DOI : 10.1080/002071700411304

T. Li, Global classical solutions for a class of quasilinear hyperbolic systems, Applicable Analysis, vol.28, issue.3-4, 1994.
DOI : 10.1080/00036810108840968

X. Litrico and V. Fromion, H/sub /spl infin// control of an irrigation canal pool with a mixed control politics, IEEE Transactions on Control Systems Technology, vol.14, issue.1, pp.99-101, 2006.
DOI : 10.1109/TCST.2005.860526

X. Litrico and D. Georges, Robust continuous-time and discrete-time flow control of a dam???river system. (II) Controller design, Applied Mathematical Modelling, vol.23, issue.11, pp.809-827, 1999.
DOI : 10.1016/S0307-904X(99)00013-X

P. O. Malaterre, D. Rogers, and J. Schuurmans, Classification of Canal Control Algorithms, Journal of Irrigation and Drainage Engineering, vol.124, issue.1, pp.3-10, 1998.
DOI : 10.1061/(ASCE)0733-9437(1998)124:1(3)

I. Mareels, E. Weyer, S. Ooi, M. Cantoni, Y. Li et al., Systems engineering for irrigation systems: Successes and challenges, Annual Reviews in Control, vol.29, issue.2, pp.191-204, 2005.
DOI : 10.1016/j.arcontrol.2005.08.001

F. Mazenc and C. Prieur, Strict Lyapunov functions for semilinear parabolic partial differential equations, Mathematical Control and Related Fields, vol.1, issue.2, pp.231-250, 2011.
DOI : 10.3934/mcrf.2011.1.231

URL : https://hal.archives-ouvertes.fr/hal-00599068

R. Murray-smith and T. Johansen, Multiple Model Approaches to Modelling and Control, 1997.

M. Papageorgiou and A. Messmer, Flow control of a long river stretch, Automatica, vol.25, issue.2, pp.177-183, 1989.
DOI : 10.1016/0005-1098(89)90071-X

M. Rodrigues, M. Sahnoun, D. Theilliol, and J. Ponsart, Sensor fault detection and isolation filter for polytopic LPV systems: A winding machine application, Journal of Process Control, vol.23, issue.6, pp.805-816, 2013.
DOI : 10.1016/j.jprocont.2013.04.002

URL : https://hal.archives-ouvertes.fr/hal-00823560

M. Rodrigues, Y. Wu, S. Aberkane, D. Santos-martins, and V. , LMI & BMI Technics for the Design of a PI Control for Irrigation Channels, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00823551

M. Rodrigues, D. Theilliol, S. Aberkane, and D. Sauter, Fault Tolerant Control Design For Polytopic LPV Systems, International Journal of Applied Mathematics and Computer Science, vol.17, issue.1, pp.27-37, 2007.
DOI : 10.2478/v10006-007-0004-5

URL : https://hal.archives-ouvertes.fr/hal-00095582

A. Sasane and R. F. Curtain, Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems, Integral Equations and Operator Theory, vol.25, issue.2, pp.98-126, 2001.
DOI : 10.1007/BF01192150

R. Skelton, T. Iwasak, and K. Grigoriadis, A Unified Algebraic Approach to Linear Control Design, 1997.

Y. Touré and R. J. , Controller design for distributed parameter systems, Encyclopedia of LIFE Support on Control Systems, Robotics and Automation, pp.933-979, 2002.

R. Triggiani, On the stabilizability problem in Banach space, Journal of Mathematical Analysis and Applications, vol.52, issue.3, pp.383-403, 1975.
DOI : 10.1016/0022-247X(75)90067-0

E. Weyer, Decentralised PI controller of an open water channel, 15th IFAC world congress, 2002.

L. Zaccarian, Y. Li, E. Weyer, M. Cantoni, and A. R. Teel, Anti-windup for marginally stable plants and its application to open water channel control systems, Control Engineering Practice, vol.15, issue.2, pp.261-272, 2007.
DOI : 10.1016/j.conengprac.2006.08.001