. En-outre, une présence sur le site de production permettrait de savoir plus rapidement et plus précisément ce qui s'y passe, ` a quel capteur faire confiance, quels signaux sont critiques et quels autres sont entachés d'artefacts... cette dimension est absente de l'´ etude, qui a ´ eté menéè a distance La structure du modèle est inchangée pour la colonne Basse Pression ; de même, sa pertinence , a priori. Nous avons vu que les performances sont diminuées parce que les débits internes sont mal estimés, du fait : des revaporisations internes, des fractions liquide/gaz mal connues dans les pots de flash, et d'une modélisation rustique des bilansénergétiquesbilansénergétiques dans les condenseurs et réchauffeurs, Améliorer ces performances requerrait d'intégrer des bilansénergétiquesbilansénergétiques détaillés au modèle, et de coupler les modèles de colonnesàcolonnesà des modèles d'´ echangeurs thermiques. Concernant ces derniers, nous avons donné quelques pistes dans la revue bibliographique. Pour ce qui est des colonnes, nous avons envisagé de modéliser le couplage entre l'´ energie et les compositionsàcompositionsà lamanì ere de [89], qui traite du flash adiabatique

. Asu-operating and . Handbook, Air Liquide internal document, 2005.

M. A. Abdelghani-idrissi, F. Bagui, and L. Estel, Analytical and experimental response time to flow rate step along a counter flow double pipe heat exchanger, International Journal of Heat and Mass Transfer, vol.44, issue.19, pp.443721-3730, 2001.
DOI : 10.1016/S0017-9310(01)00023-0

V. I. Arnold and D. Embarek, Chapitres supplémentaires de la théorie deséquationsdeséquations différentielles ordinaires, 1990.

D. Averous, Modélisation et simulation deséchangeursdeséchangeurs de chaleur multifluidesàmultifluides`multifluidesà plaques brasées en configurations complexes, 2000.

F. Bagui, M. A. Abdelghani-idrissi, and H. Chafouk, Heat exchanger Kalman filtering with process dynamic acknowledgement, Computers & Chemical Engineering, vol.28, issue.8, pp.1465-1473, 2004.
DOI : 10.1016/j.compchemeng.2003.11.005

S. Bian and M. A. Henson, Measurement selection for on-line estimation of nonlinear wave models for high purity distillation columns, Chemical Engineering Science, vol.61, issue.10, pp.613210-3222, 2006.
DOI : 10.1016/j.ces.2005.11.066

S. Bian, M. A. Henson, P. Belanger, and L. Megan, Nonlinear State Estimation and Model Predictive Control of Nitrogen Purification Columns, Industrial & Engineering Chemistry Research, vol.44, issue.1, pp.153-167, 2005.
DOI : 10.1021/ie034320d

S. Bian, S. Khowinij, M. A. Henson, P. Belanger, and L. Megan, Compartmental modeling of high purity air separation columns, Computers & Chemical Engineering, vol.29, issue.10, pp.292096-2109, 2005.
DOI : 10.1016/j.compchemeng.2005.06.002

P. P. Biswas, S. Ray, and A. N. Samanta, Multi-objective constraint optimizing IOL control of distillation column with nonlinear observer, Journal of Process Control, vol.17, issue.1, pp.73-81, 2007.
DOI : 10.1016/j.jprocont.2006.08.001

P. P. Biswas, S. Ray, and A. N. Samanta, Nonlinear control of high purity distillation column under input saturation and parametric uncertainty, Journal of Process Control, vol.19, issue.1, pp.75-84, 2009.
DOI : 10.1016/j.jprocont.2008.01.007

R. Boehme, J. A. Parise, and R. P. Marques, Simulation of multistream plate???fin heat exchangers of an air separation unit, Cryogenics, vol.43, issue.6, pp.325-334, 2003.
DOI : 10.1016/S0011-2275(03)00002-X

J. Bonilla, J. Logist, B. Degrève, . De, J. Moor et al., A reduced order rate based model for distillation in packed columns: Dynamic simulation and the differentiation index problem, Chemical Engineering Science, vol.68, issue.1, pp.401-412, 2012.
DOI : 10.1016/j.ces.2011.09.051

J. Bonilla, F. Logist, B. D. Moor, and J. Van-impe, Parameter Estimation of a Rigorous Rate Base Model for Distillation in Packed Columns, IFAC Proceedings Volumes, pp.465-470, 2011.
DOI : 10.3182/20110828-6-IT-1002.01473

U. Brinkmann, T. J. Schildhauer, and E. Y. Kenig, Hydrodynamic analogy approach for modelling of reactive stripping with structured catalyst supports, Chemical Engineering Science, vol.65, issue.1, pp.298-303, 2010.
DOI : 10.1016/j.ces.2009.06.049

Y. Cao, Design for Dynamic Performance: Application to an Air Separation Unit, 2011.

J. Carr, Applications of Centre Manifold Theory, 1981.
DOI : 10.1007/978-1-4612-5929-9

Z. Chen, M. A. Henson, P. Belanger, and L. Megan, Nonlinear Model Predictive Control of High Purity Distillation Columns for Cryogenic Air Separation, IEEE Transactions on Control Systems Technology, vol.18, issue.4, pp.811-821, 2010.
DOI : 10.1109/TCST.2009.2029087

U. Christen, H. E. Musch, and M. Steiner, Robust control of distillation columns: ??- vs H???-synthesis, Journal of Process Control, vol.7, issue.1, pp.19-30, 1997.
DOI : 10.1016/S0959-1524(96)00008-X

P. Dua, K. Kouramas, V. Dua, and E. N. Pistikopoulos, MPC on a chip???Recent advances on the application of multi-parametric model-based control, Computers & Chemical Engineering, vol.32, issue.4-5, pp.4-5754, 2008.
DOI : 10.1016/j.compchemeng.2007.03.008

S. Dudret, Models for dynamic control of APSA nitrogen generators, Air Liquide R&D, 2009.

S. Dudret, K. Beauchard, F. Ammouri, and P. Rouchon, Stability and asymptotic observers of binary distillation processes described by nonlinear convection/diffusion models, 2012 American Control Conference (ACC), 2012.
DOI : 10.1109/ACC.2012.6315036
URL : https://hal.archives-ouvertes.fr/hal-00738684

N. Egoshi, H. Kawakami, and K. Asano, Heat and mass transfer model approach to optimum design of cryogenic air separation plant by packed columns with structured packing, Separation and Purification Technology, vol.29, issue.2, pp.141-151, 2002.
DOI : 10.1016/S1383-5866(02)00070-9

H. K. Engelien, T. Larsson, and S. Skogestad, Implementation of Optimal Operation for Heat Integrated Distillation Columns, Chemical Engineering Research and Design, vol.81, issue.2, pp.277-281, 2003.
DOI : 10.1205/026387603762878755

J. A. Fabro, L. V. Arruda, and F. N. Jr, Startup of a distillation column using intelligent control techniques, Computers & Chemical Engineering, vol.30, issue.2, pp.309-320, 2005.
DOI : 10.1016/j.compchemeng.2005.09.012

N. Fenichel, Persistence and Smoothness of Invariant Manifolds for Flows, Indiana University Mathematics Journal, vol.21, issue.3, pp.193-226, 1971.
DOI : 10.1512/iumj.1972.21.21017

N. Fenichel, Geometric singular perturbation theory for ordinary differential equations, Journal of Differential Equations, vol.31, issue.1, pp.53-98, 1977.
DOI : 10.1016/0022-0396(79)90152-9

M. Fourati, V. Roig, and L. , Experimental study of liquid spreading in structured packings, Chemical Engineering Science, vol.80, pp.1-15, 2012.
DOI : 10.1016/j.ces.2012.05.031
URL : https://hal.archives-ouvertes.fr/hal-00786392

K. O. Friedrichs, Fluid Dynamics, 1942.

D. M. Grobman, Homeomorphisms of systems of differential equations, Dokl. Akad. Nauk SSSR, vol.128, pp.880-881, 1959.

F. Gross, E. Baumann, A. Geser, D. W. Rippin, and L. Lang, Modelling, simulation and controllability analysis of an industrial heat-integrated distillation process, Computers & Chemical Engineering, vol.22, issue.1-2, pp.223-237, 1998.
DOI : 10.1016/S0098-1354(96)00361-4

S. Grüner and A. Kienle, Equilibrium theory and nonlinear waves for reactive distillation columns and chromatographic reactors, Chemical Engineering Science, vol.59, issue.4, pp.901-918, 2004.
DOI : 10.1016/j.ces.2003.11.021

S. Gupta, S. Ray, and A. N. Samanta, Nonlinear control of debutanizer column using profile position observer, Computers & Chemical Engineering, vol.33, issue.6, pp.1202-1211, 2009.
DOI : 10.1016/j.compchemeng.2008.12.009

J. Hahn and C. Laird, Process Science & Technology Center pooled fund proposal, 2010.

M. Hamdar, M. Nemer, and D. Clodic, Modélisation de système de distribution de fluides, recherche d'une solution analytique, ARMINES, 2006.

N. P. Hankins, A Non-Linear Wave Model with Variable Molar Flows for Dynamic Behaviour and Disturbance Propagation in Distillation Columns, Chemical Engineering Research and Design, vol.85, issue.1, pp.65-73, 2007.
DOI : 10.1205/cherd06129

N. P. Hankins and F. G. Helfferich, On the concept and application of ???partial coherence??? in non-linear wave propagation, Chemical Engineering Science, vol.54, issue.6, pp.741-764, 1999.
DOI : 10.1016/S0009-2509(98)00269-3

P. Hartman, A lemma in the theory of structural stability of differential equations, Proceedings of the, pp.610-620, 1960.
DOI : 10.1090/S0002-9939-1960-0121542-7

P. Hartman, On local homeomorphisms of euclidian spaces, Boletin Sociedad Matemática Mexicana, vol.5, pp.220-241, 1960.

T. Haug-warberg, Mccabe-thiele diagrams for binary distillation, 2005.

D. John, T. F. Hedengren, and . Edgar, Approximate nonlinear model predictive control with in situ adaptive tabulation, Computers and Chemical Engineering, vol.32, pp.706-7014, 2008.

G. Friedrich and . Helfferich, Non-linear waves in chromatography III. Mutlicomponent Langmuir and Langmuir-like systems, Journal of Chromatography A, vol.768, pp.169-205, 1997.

G. Friedrich, R. D. Helfferich, and . Whitley, Non-linear waves in chromatography II. Wave interference and coherence in multicomponent systems, Journal of Chromatography A, vol.734, pp.7-47, 1996.

H. Hoang, F. Couenne, C. Jallut, and Y. L. Gorrec, The port Hamiltonian approach to modeling and control of Continuous Stirred Tank Reactors, Journal of Process Control, vol.21, issue.10, pp.1449-1458, 2011.
DOI : 10.1016/j.jprocont.2011.06.014
URL : https://hal.archives-ouvertes.fr/hal-00720350

H. Hoang, F. Couenne, C. Jallut, and Y. L. Gorrec, Lyapunov-based control of non isothermal continuous stirred tank reactors using irreversible thermodynamics, Journal of Process Control, vol.22, issue.2, pp.412-422, 2012.
DOI : 10.1016/j.jprocont.2011.12.007
URL : https://hal.archives-ouvertes.fr/hal-00803656

R. Huang, V. M. Zavala, and L. T. Biegler, Advanced step nonlinear model predictive control for air separation units, Journal of Process Control, vol.19, issue.4, pp.678-685, 2009.
DOI : 10.1016/j.jprocont.2008.07.006

R. Huang, Nonlinear Model Predictive Control and Dynamic Real Time Optimization for Large-scale Processes, 2010.

R. Huang, T. Lorenz, E. Biegler, and . Harinath, Robust stability of economically oriented infinite horizon NMPC that include cyclic processes, Journal of Process Control, vol.22, issue.1, pp.51-59, 2012.
DOI : 10.1016/j.jprocont.2011.10.010

R. Huang, E. Harinath, and L. T. Biegler, Lyapunov stability of economically oriented NMPC for cyclic processes, Journal of Process Control, vol.21, issue.4, pp.501-509, 2011.
DOI : 10.1016/j.jprocont.2011.01.012

B. Huyck, K. De-brabanter, F. Logist, J. De-brabanter, J. Van-impe et al., Identification of a Pilot Scale Distillation Column: A Kernel Based Approach, IFAC Proceedings Volumes, pp.471-476, 2011.
DOI : 10.3182/20110828-6-IT-1002.01512

Y. Hwang, Wave Propagation in Mass-Transfer Processes: From Chromatography to Distillation, Industrial & Engineering Chemistry Research, vol.34, issue.8, pp.2849-2864, 1995.
DOI : 10.1021/ie00047a039

A. K. Jana, S. Ganguly, and A. N. Samanta, Nonlinear control of a multicomponent distillation process coupled with a binary distillation model as an EKF predictor, ISA Transactions, vol.45, issue.4, pp.575-588, 2006.
DOI : 10.1016/S0019-0578(07)60233-X

A. K. Jana, A. Nath-samanta, and S. Ganguly, Observer-based control algorithms for a distillation column, Chemical Engineering Science, vol.61, issue.12, pp.614071-4085, 2006.
DOI : 10.1016/j.ces.2006.01.043

A. K. Jana and A. N. Samanta, A hybrid feedback linearizing-Kalman filtering control algorithm for a distillation column, ISA Transactions, vol.45, issue.1, pp.87-98, 2006.
DOI : 10.1016/S0019-0578(07)60068-8

A. K. Jana, A. N. Samanta, and S. Ganguly, Nonlinear model-based control algorithm for a distillation column using software sensor, ISA Transactions, vol.44, issue.2, pp.259-271, 2005.
DOI : 10.1016/S0019-0578(07)60179-7

K. R. Christopher and . Jones, Geometric singular perturbation theory Dynamical systems (Montecatini Terme, 1994) Lecture Notes in Math, pp.44-118, 1995.

S. Ravindra, I. E. Kamath, L. T. Grossmann, and . Biegler, Aggregate models based on improved group methods for simulation and optimization of distillation systems, Computers and Chemical Engineering, vol.34, pp.1312-1319, 2010.

M. Kano, N. Showchaiya, S. Hasebe, and I. Hashimoto, Inferential control of distillation compositions: selection of model and control configuration, Control Engineering Practice, vol.11, issue.8, pp.927-933, 2003.
DOI : 10.1016/S0967-0661(02)00215-0

E. Y. Kenig, Complementary modelling of fluid separation processes, Chemical Engineering Research and Design, vol.86, issue.9, pp.1059-1072, 2008.
DOI : 10.1016/j.cherd.2008.04.011

S. Khowinij, S. Bian, M. A. Henson, P. Belanger, and L. Megan, Reduced order modeling of high purity distillation columns for nonlinear model predictive control, Proceedings of the American Control Conference, pp.4237-4242, 2004.

S. Khowinij, M. A. Henson, P. Belanger, and L. Megan, Dynamic compartmental modeling of nitrogen purification columns, Separation and Purification Technology, vol.46, issue.1-2, pp.95-109, 2005.
DOI : 10.1016/j.seppur.2005.05.001

A. Kienle, Low-order dynamic models for ideal multicomponent distillation processes using nonlinear wave propagation theory, Chemical Engineering Science, vol.55, issue.10, pp.1817-1828, 2000.
DOI : 10.1016/S0009-2509(99)00463-7
URL : http://hdl.handle.net/11858/00-001M-0000-0013-A24A-D

A. Kienle, M. Groebel, and E. D. Gilles, Multiple steady states in binary distillation???Theoretical and experimental results, Chemical Engineering Science, vol.50, issue.17, pp.2691-2703, 1995.
DOI : 10.1016/0009-2509(95)00113-J
URL : http://hdl.handle.net/11858/00-001M-0000-0013-A3F2-F

. Kirk-othmer, Separation Technology, 2008.

C. C. Klimasauskas, Hybrid modeling for robust nonlinear multivariable control, ISA Transactions, vol.37, issue.4, pp.291-297, 1998.
DOI : 10.1016/S0019-0578(98)00030-5

A. Kumar-jana, A. Nath-samanta, and S. Ganguly, Globally linearized control system design of a constrained multivariable distillation column, Journal of Process Control, vol.15, issue.2, pp.169-181, 2005.
DOI : 10.1016/j.jprocont.2004.06.002

T. Kurooka, Y. Yamashita, H. Nishitani, Y. Hashimoto, M. Yoshida et al., Dynamic simulation and nonlinear control system design of a heterogeneous azeotropic distillation column, Computers & Chemical Engineering, vol.24, issue.2-7, pp.887-892, 2000.
DOI : 10.1016/S0098-1354(00)00346-X

O. A. Ladyzhenskaia, V. A. Solonnikov, and N. N. , Ural'ceva. Linear and quasilinear equations of parabolic type, 1968.

C. , L. Bris, and P. Rouchon, Low-rank numerical approximations for high-dimensional Lindblad equations, Phys. Rev. A, vol.87, issue.2, p.22125, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00941530

J. Lévine and P. Rouchon, Quality control of binary distillation columns via nonlinear aggregated models, Automatica, vol.27, issue.3, pp.463-480, 1991.
DOI : 10.1016/0005-1098(91)90104-A

B. Li and A. G. Alleyne, A dynamic model of a vapor compression cycle with shut-down and start-up operations, International Journal of Refrigeration, vol.33, issue.3, pp.538-552, 2010.
DOI : 10.1016/j.ijrefrig.2009.09.011

A. Linhart and S. Skogestad, Computational performance of aggregated distillation models, Computers & Chemical Engineering, vol.33, issue.1, pp.296-308, 2009.
DOI : 10.1016/j.compchemeng.2008.09.014

A. Linhart and S. Skogestad, An aggregation model reduction method for one-dimensional distributed systems, AIChE Journal, vol.189, issue.5, pp.1524-1537, 2012.
DOI : 10.1002/aic.12688

W. Marquardt, NONLINEAR MODEL REDUCTION FOR BINARY DISTILLATION, Proceedings of the IFAC Control of Distillation Columns and Chemical Reactors, pp.123-128, 1986.
DOI : 10.1016/B978-0-08-034917-6.50023-4

J. Munch, J. , and H. Tummescheit, Moving boundary models for dynamic simulations of two-phase flows, Proceedings of 2nd International Modelica Conference, pp.235-244, 2002.

K. Nandakumar and R. P. Andres, Minimum reflux conditions, part I: Theory, AIChE Journal, vol.27, issue.3, pp.450-460, 1981.
DOI : 10.1002/aic.690270314

S. Park and C. Han, A nonlinear soft sensor based on multivariate smoothing procedure for quality estimation in distillation columns, Computers & Chemical Engineering, vol.24, issue.2-7, pp.871-877, 2000.
DOI : 10.1016/S0098-1354(00)00343-4

V. Suhas and . Patankar, Numerical Heat Transfer and Fluid Flow, Taylor&Francis, 1980.

N. B. Pettit, M. Willatzen, and L. Ploug-srensen, A general dynamic simulation model for evaporators and condensers in refrigeration. Part II: simulation and control of an evaporator, International Journal of Refrigeration, vol.21, issue.5, pp.404-414, 1998.
DOI : 10.1016/S0140-7007(97)00092-3

E. N. Pistikopoulos, Perspectives in multiparametric programming and explicit model predictive control, AIChE Journal, vol.18, issue.8, pp.1918-1925, 2009.
DOI : 10.1002/aic.11965

E. N. Pistikopoulos, V. Dua, N. A. Bozinis, A. Bemporad, and M. Morari, On-line optimization via off-line parametric optimization tools, Computers & Chemical Engineering, vol.24, issue.2-7, pp.183-188, 2000.
DOI : 10.1016/S0098-1354(00)00510-X
URL : http://www.sciencedirect.com/science?_ob=ShoppingCartURL&_method=add&_eid=1-s2.0-S009813540000510X&originContentFamily=serial&_origin=article&_ts=1488529866&md5=f6e73a446ce4f3926064c2693f98b13b

Y. Qu, L. Xu, X. Fang, J. Wang, and S. Gu, A new approach to heat-exchanger control based on model control, International Journal of Information and Systems Sciences, vol.2, issue.1, pp.31-41, 2006.

K. Razzaghi and F. Shahraki, Robust control of an ill-conditioned plant using <mml:math altimg="si23.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>??</mml:mi></mml:math>-synthesis: A case study for high-purity distillation, Chemical Engineering Science, vol.62, issue.5, pp.1543-1547, 2007.
DOI : 10.1016/j.ces.2006.11.045

H. K. Rhee, R. Aris, and N. Amundson, On the Theory of Multicomponent Chromatography, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.267, issue.1182, pp.419-455, 1182.
DOI : 10.1098/rsta.1970.0050

C. Riverol and C. Carosi, Integration of fuzzy-logic based control procedures in cryogenic distillation, International Journal of Soft Computing, vol.1, issue.3, pp.187-192, 2006.

M. Rodriguez and M. S. Diaz, Dynamic modelling and optimisation of cryogenic systems, Applied Thermal Engineering, vol.27, issue.7, pp.1182-1190, 2007.
DOI : 10.1016/j.applthermaleng.2006.02.044

B. Roffel, B. H. Betlem, R. M. De, and . Blouw, A comparison of the performance of profile position and composition estimators for quality control in binary distillation, Computers & Chemical Engineering, vol.27, issue.2, pp.199-210, 2003.
DOI : 10.1016/S0098-1354(02)00166-7

B. Roffel, B. H. Betlem, and J. A. De-ruijter, First principles dynamic modeling and multivariable control of a cryogenic distillation process, Computers & Chemical Engineering, vol.24, issue.1, pp.111-123, 2000.
DOI : 10.1016/S0098-1354(00)00313-6

P. Rouchon and Y. Creff, Geometry of the flash dynamics, Chemical Engineering Science, vol.48, issue.18, pp.3141-3147, 1993.
DOI : 10.1016/0009-2509(93)80200-A

P. Rouchon, Simulation dynamique et commande non linéaire des colonnesàcolonnes`colonnesà distiller, 1990.

M. Schenk, R. Gani, D. Bogle, and E. N. Pistikopoulos, A Hybrid Modelling Approach for Separation Systems Involving Distillation, Chemical Engineering Research and Design, vol.77, issue.6, pp.519-534, 1999.
DOI : 10.1205/026387699526557

A. Philip and . Schweitzer, Handbook of Separation Techniques for Chemical Engineers - Second edition, 1988.

J. G. Segovia-hernández, E. A. Hernández-vargas, and J. A. Márquez-muñoz, Control properties of thermally coupled distillation sequences for different operating conditions, Computers & Chemical Engineering, vol.31, issue.7, pp.31867-874, 2007.
DOI : 10.1016/j.compchemeng.2006.08.004

B. Seliger, R. Hanke-rauschenbach, F. Hannemann, and K. Sundmacher, Modelling and dynamics of an air separation rectification column as part of an IGCC power plant, Separation and Purification Technology, vol.49, issue.2, pp.136-148, 2006.
DOI : 10.1016/j.seppur.2005.09.007

A. M. Shaw, F. J. Doyle, and I. , Multivariable nonlinear control applications for a high purity distillation column using a recurrent dynamic neuron model, Journal of Process Control, vol.7, issue.4, pp.255-268, 1997.
DOI : 10.1016/S0959-1524(97)00002-4

A. Shilkin and E. Y. Kenig, A new approach to fluid separation modelling in the columns equipped with structured packings, Chemical Engineering Journal, vol.110, issue.1-3, pp.87-100, 2005.
DOI : 10.1016/j.cej.2005.03.018

J. Shin, H. Seo, M. Han, and S. Park, A nonlinear profile observer using tray temperatures for high-purity binary distillation column control, Chemical Engineering Science, vol.55, issue.4, pp.807-816, 2000.
DOI : 10.1016/S0009-2509(99)00353-X

A. Singh and M. Hovd, Model requirement for control design of an LNG process, Computer Aided Chemical Engineering, vol.24, pp.533-538, 2007.
DOI : 10.1016/S1570-7946(07)80112-X

K. Abhay, J. Singh, and . Hahn, Sensor location for stable nonlinear dynamic systems: Multiple sensor case, Industrial and Engineering Chemistry Research, vol.45, pp.3615-3623, 2006.

S. Skogestad, Dynamics and control of distillation columns -a critical survey. Modeling, Identification and Control, pp.177-217, 1997.

S. Skogestad, Dynamics and Control of Distillation Columns, Chemical Engineering Research and Design, vol.75, issue.6, pp.539-562, 1997.
DOI : 10.1205/026387697524092

S. Skogestad, The Dos and Don???ts of Distillation Column Control, Chemical Engineering Research and Design, vol.85, issue.1, pp.13-23, 2007.
DOI : 10.1205/cherd06133

S. Skogestad and M. Morari, Understanding the dynamic behavior of distillation columns, Industrial & Engineering Chemistry Research, vol.27, issue.10, pp.1848-1862, 1988.
DOI : 10.1021/ie00082a018

I. Keller, Experimental study of wave propagation dynamics of multicomponent distillation columns, Industrial and Engineering Chemistry Research, vol.38, pp.3588-3605, 1999.

M. Van-dyke, Perturbation Method in Fluid Mechanics, Journal of Applied Mechanics, vol.43, issue.1, 1975.
DOI : 10.1115/1.3423785

F. Verhulst, Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics, 2005.
DOI : 10.1007/0-387-28313-7

D. R. Vinson, Air separation control technology, Computers & Chemical Engineering, vol.30, issue.10-12, pp.10-121436, 2006.
DOI : 10.1016/j.compchemeng.2006.05.038

M. Willatzen, N. B. Pettit, and L. Ploug-srensen, A general dynamic simulation model for evaporators and condensers in refrigeration. Part I: moving-boundary formulation of two-phase flows with heat exchange, International Journal of Refrigeration, vol.21, issue.5, pp.398-403, 1998.
DOI : 10.1016/S0140-7007(97)00091-1

J. Yin and M. K. Jensen, Analytic model for transient heat exchanger response, International Journal of Heat and Mass Transfer, vol.46, issue.17, pp.3255-3264, 2003.
DOI : 10.1016/S0017-9310(03)00118-2

V. M. Zavala and L. T. Biegler, The advanced-step NMPC controller: Optimality, stability and robustness, Automatica, vol.45, issue.1, pp.86-93, 2009.
DOI : 10.1016/j.automatica.2008.06.011

V. M. Zavala, C. D. Laird, and L. T. Biegler, A fast moving horizon estimation algorithm based on nonlinear programming sensitivity, Journal of Process Control, vol.18, issue.9, pp.876-884, 2008.
DOI : 10.1016/j.jprocont.2008.06.003
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.521.7088

W. Zhang and C. Zhang, A generalized moving-boundary model for transient simulation of dry-expansion evaporators under larger disturbances, International Journal of Refrigeration, vol.29, issue.7, pp.1119-1127, 2006.
DOI : 10.1016/j.ijrefrig.2006.03.002

G. Zhu, M. A. Henson, and L. Megan, Low-order dynamic modeling of cryogenic distillation columns based on nonlinear wave phenomenon, Separation and Purification Technology, vol.24, issue.3, pp.467-487, 2001.
DOI : 10.1016/S1383-5866(01)00147-2

L. Zhu, Z. Chen, X. Chen, Z. Shao, and J. Qian, Simulation and optimization of cryogenic air separation units using a homotopy-based backtracking method, Separation and Purification Technology, vol.67, issue.3, pp.262-270, 2009.
DOI : 10.1016/j.seppur.2009.03.032

X. Zhu, X. Liu, and Z. Zhou, Optimization of Cryogenic Air Separation Distillation Columns, 2006 6th World Congress on Intelligent Control and Automation, pp.7702-7705, 2006.
DOI : 10.1109/WCICA.2006.1713466

Y. Zhu, S. Legg, and C. D. Laird, Optimal design of cryogenic air separation columns under uncertainty, Computers & Chemical Engineering, vol.34, issue.9, pp.1377-1384, 2010.
DOI : 10.1016/j.compchemeng.2010.02.007