R. Références, A. Aguilar, R. Poznyak, R. Martinez-guerra, and . Maya-yescas, Temperature control in catalytic cracking reactors via a robust {PID} controller, Journal of Process Control, vol.12, issue.6, pp.695-705, 2002.

R. Aguilara, J. Gonzalez, J. Alvarez-ramirez, and M. Barron, Control of a fluid catalytic cracking unit based on proportional-integral reduced order observers, Chemical Engineering Journal, vol.75, issue.2, pp.77-85, 1999.
DOI : 10.1016/S1385-8947(99)00076-5

J. S. Ahari, A. Farshi, and K. Forsat, A mathematical modeling of the riser reactor in industrial fcc unit, pp.15-24, 2008.

M. Alamir, Optimization based non-linear observers revisited, International Journal of Control, vol.72, issue.13, pp.1204-1217, 1999.
DOI : 10.1080/002071799220353

A. A. Alaradi and S. Rohani, Identification and control of a riser-type FCC unit using neural networks, Computers & Chemical Engineering, vol.26, issue.3, pp.401-421, 2002.
DOI : 10.1016/S0098-1354(01)00756-6

A. E. Ali and S. E. Elnashaie, Nonlinear Model Predictive Control of Industrial Type IV Fluid Catalytic Cracking (FCC) Units for Maximum Gasoline Yield, Industrial & Engineering Chemistry Research, vol.36, issue.2, pp.389-398, 1997.
DOI : 10.1021/ie9603575

S. Ali, J. P. Rohani, and . Corriou, Modelling and Control of a Riser Type Fluid Catalytic Cracking (FCC) Unit, Chemical Engineering Research and Design, vol.75, issue.4, pp.401-412, 1997.
DOI : 10.1205/026387697523868

F. Allgöwer, R. Findeisen, and Z. K. Nagy, Nonlinear model predictive control : From theory to application, J.Chin.Inst.Chem. Engrs, vol.35, issue.3, pp.299-315, 2004.
DOI : 10.1007/978-3-0348-8407-5

J. Ancheyta and R. Sotelo, Modelling of vacuum gas-oil catalytic cracking, J.Mexican Chem. Spc, vol.46, pp.38-42, 2002.

J. Ancheyta-juarez, F. Lopez-isunza, and E. Aguilar-rodriguez, 5-Lump kinetic model for gas oil catalytic cracking, Applied Catalysis A: General, vol.177, issue.2, pp.227-235, 1999.
DOI : 10.1016/S0926-860X(98)00262-2

J. M. Arandes, I. Abajo, J. Bibao, J. Aokiti, and H. I. De-lasa, Consistency of the tenlump kinetic model for cracking : Study in a laboratory reactor and use for simulation of an fccu, Chem. Eng. Comm, vol.190, issue.2, pp.257-284, 2003.

A. Arbel, Z. Huang, I. H. Rinard, R. Shinnar, and A. V. Sapre, Dynamic and Control of Fluidized Catalytic Crackers. 1. Modeling of the Current Generation of FCC's, Industrial & Engineering Chemistry Research, vol.34, issue.4, pp.1228-1243, 1995.
DOI : 10.1021/ie00043a027

A. Arbel, I. H. Rinard, and R. Shinnar, Dynamics and Control of Fluidized Catalytic Crackers. 3. Designing the Control System:?? Choice of Manipulated and Measured Variables for Partial Control, Industrial & Engineering Chemistry Research, vol.35, issue.7, pp.2215-2233, 1996.
DOI : 10.1021/ie9507080

C. M. Astorga, N. Othman, S. Othman, H. Hammouri, and T. F. Mckenna, Non-linear continuous-discrete observers : application to emulsion polymerization reactors

J. S. Balchen, D. Ljungquist, and S. Strand, State???space predictive control, Chemical Engineering Science, vol.47, issue.4, pp.787-807, 1992.
DOI : 10.1016/0009-2509(92)80268-H

J. Bellantoni and K. Dodge, A square root formulation of the Kalman- Schmidt filter., AIAA Journal, vol.1, issue.7, pp.1309-1314, 1967.
DOI : 10.2514/3.4189

R. E. Bellman, Dynamic programming, 1957.

R. E. Bellman, Five-lump kinetic model with selective catalyst deactivation for the prediction of the product selectivity in the fluid catalytic cracking process, Catalysis Today, 2007.

B. W. Bequette, Nonlinear control of chemical processes: a review, Industrial & Engineering Chemistry Research, vol.30, issue.7, pp.1391-1413, 1991.
DOI : 10.1021/ie00055a001

D. Bhattacharyya, FCC process fundamentals & technology evolution, 8th Summer School on Petroleum Refining & Petrochemicals, 2013.

A. T. Boum, A. Latifi, and J. P. Corriou, Model predictive control of a fluid catalytic cracking process, Récents Progrès en Génie des Procédés, 2013.

A. T. Boum, A. Latifi, and J. P. Corriou, Model predictive control of a fluid catalytic cracking unit, 2013 International Conference on Process Control (PC), pp.335-340, 2013.
DOI : 10.1109/PC.2013.6581433

URL : https://hal.archives-ouvertes.fr/tel-01750689

E. H. Bristol, On a new measure of interaction for multivariable process control, IEEE Transactions on Automatic Control, vol.11, issue.1, pp.133-134, 1966.
DOI : 10.1109/TAC.1966.1098266

A. C. Brooms and B. Kouvaritakis, Successive constrained optimization and interpolation in non-linear model based predictive control, International Journal of Control, vol.73, issue.4, pp.312-316, 2000.
DOI : 10.1080/002071700219669

R. G. Brown and P. Y. Hwang, Introduction to Random Signals and Applied Kalman Filtering, 1997.

R. S. Bucy and D. P. Joseph, Filtering for stochastic processes with applications to guidance, 1987.

E. F. Camacho and C. Bordons, Model predictive control, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00683813

E. F. Camacho and C. Bordons, Model predictive control, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00683813

C. Chen, B. Yang, J. Yuan, Z. Wang, and L. Wang, Establishment and solution of eight-lump kinetic model for FCC gasoline secondary reaction using particle swarm optimization, Fuel, vol.86, issue.15, pp.2325-2332, 2007.
DOI : 10.1016/j.fuel.2007.01.007

D. W. Clark, C. Mohtadi, and P. S. Tuffs, Generalized Predictive Control???Part II Extensions and interpretations, Automatica, vol.23, issue.2, pp.149-160, 1987.
DOI : 10.1016/0005-1098(87)90088-4

M. Corma, Kinetics of gasoil cracking and catalyst decay on SAPO-37 and USY molecular sieves, Applied Catalysis A: General, vol.118, issue.2, pp.153-162, 1994.
DOI : 10.1016/0926-860X(94)80310-2

J. P. Corriou, Process Control -Theory and Applications, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00785528

J. L. Crassidis and J. L. Junkins, Optimal Estimation of Dynamic Systems, 2004.
DOI : 10.1201/9780203509128

M. V. Cristea, S. P. Agachi, and V. Marinoiu, Simulation and model predictive control of a UOP fluid catalytic cracking unit, Chemical Engineering and Processing: Process Intensification, vol.42, issue.2, pp.67-91, 2003.
DOI : 10.1016/S0255-2701(02)00017-X

C. R. Cutler and B. L. Ramaker, Dynamic matrix control-a computer control algorithm, AIChE Annual Meeting, 1979.

K. K. Dagde and Y. T. Puyate, Modelling and simulation of industrial fcc unit : Analysis based on five-lump kinetic scheme for gas-oil cracking, International Journal of Engineering Research and Applications, vol.2, pp.698-714, 2012.

K. K. Dagde and Y. T. Puyate, Six-lump kinetic modelling of adiabatique plug-flow riserreactor in an industrial fcc unit, International Journal of Engineering Research and Applications, vol.2, pp.557-568, 2012.

P. K. Dasila, I. Choudhury, D. Saraf, S. Chopra, and A. Dalai, Parametric Sensitivity Studies in a Commercial FCC Unit, Advances in Chemical Engineering and Science, vol.02, issue.01, pp.136-149, 2012.
DOI : 10.4236/aces.2012.21017

D. Dochain, State and parameter estimation in chemical and biochemical processes: a tutorial, Journal of Process Control, vol.13, issue.8, pp.801-818, 2003.
DOI : 10.1016/S0959-1524(03)00026-X

R. C. Ellis, X. Li, J. B. Rigg, and *. , Modeling and optimization of a model IV fluidized catalytic cracking unit, AIChE Journal, vol.36, issue.9, pp.2068-2079, 2007.
DOI : 10.1002/aic.690440914

S. S. Elnashaie and I. M. El-hennawi, Multiplicity of the steady state in fluidized bed reactors???IV. Fluid catalytic cracking (FCC), Chemical Engineering Science, vol.34, issue.9, pp.1113-1121, 1979.
DOI : 10.1016/0009-2509(79)85017-4

A. F. Errazu, H. I. De-lasa, and F. Sarti, A fluidized bed catalytic cracking regenerator model grid effects, Can. J. Chem. Engng, vol.57, pp.191-197, 1979.

M. Farza, H. Hammouri, S. Othman, and K. Busawon, Nonlinear observers for parameter estimation in bioprocesses, Chemical Engineering Science, vol.52, issue.23, pp.4251-4267, 1997.
DOI : 10.1016/S0009-2509(97)00190-5

URL : https://hal.archives-ouvertes.fr/hal-00458159

J. L. Fernandes, J. J. Verstraete, C. I. Pinheiro, N. M. Oliveira, and F. R. Ribeiro, Dynamic modelling of an industrial R2R FCC unit, Chemical Engineering Science, vol.62, issue.4, pp.1184-1198, 2007.
DOI : 10.1016/j.ces.2006.11.003

J. L. Fernandes, C. I. Pinheiro, N. M. Oliveirab, J. Inverno, and F. R. Ribeiro, Model Development and Validation of an Industrial UOP Fluid Catalytic Cracking Unit with a High-Efficiency Regenerator, Industrial & Engineering Chemistry Research, vol.47, issue.3, pp.850-866, 2008.
DOI : 10.1021/ie071035b

G. Févotte, T. F. Mckenna, S. Othman, and H. Hammouri, Non-linear tracking of glass transition temperatures for free radical emulsion copolymers, Chemical Engineering Science, vol.53, issue.4, pp.773-786, 1998.
DOI : 10.1016/S0009-2509(97)00338-2

R. Fletcher, Practical methods of optimization, 1991.
DOI : 10.1002/9781118723203

C. E. Garcia and A. M. Morshedi, QUADRATIC PROGRAMMING SOLUTION OF DYNAMIC MATRIX CONTROL (QDMC), Chemical Engineering Communications, vol.1, issue.1-3, pp.73-87, 1986.
DOI : 10.1021/i200017a016

C. E. Garcia, D. M. Prett, and M. Morari, Model predictive control: Theory and practice???A survey, Automatica, vol.25, issue.3, pp.335-348, 1989.
DOI : 10.1016/0005-1098(89)90002-2

G. Gattu and E. Zafiriou, Observer based nonlinear quadratic dynamic matrix control for state space and input/output models, The Canadian Journal of Chemical Engineering, vol.17, issue.6, pp.883-895, 1995.
DOI : 10.1002/cjce.5450730612

J. P. Gauthier and A. Kupka, Observability and Observers for Nonlinear Systems, SIAM Journal on Control and Optimization, vol.32, issue.4, pp.975-994, 1992.
DOI : 10.1137/S0363012991221791

J. P. Gauthier and A. Kupka, Deterministic Observation Theory and Applications, 2001.
DOI : 10.1017/CBO9780511546648

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.37875-880, 1992.
DOI : 10.1109/9.256352

P. Grosdidier, M. Morari, and B. R. Holt, Closed-loop properties from steady-state gain information, Industrial & Engineering Chemistry Fundamentals, vol.24, issue.2, pp.221-235, 1985.
DOI : 10.1021/i100018a015

T. Grüne and J. Pannek, Nonlinear model predictive control, 2011.

H. Hammouri, T. F. Mckenna, and S. Othman, Applications of Nonlinear Observers and Control:?? Improving Productivity and Control of Free Radical Solution Copolymerization, Industrial & Engineering Chemistry Research, vol.38, issue.12
DOI : 10.1021/ie9806996

H. Hammouri, P. Kaboré, S. Othman, and J. Biston, Failure diagnosis and nonlinear observer. Application to a hydraulic process, Journal of the Franklin Institute, vol.339, issue.4-5, pp.455-478, 2002.
DOI : 10.1016/S0016-0032(02)00027-3

URL : https://hal.archives-ouvertes.fr/hal-00524444

I. S. Han and C. B. Chung, Dynamic modeling and simulation of a fluidized catalytic cracking process. Part I: Process modeling, Chemical Engineering Science, vol.56, issue.5, pp.1951-1971, 2001.
DOI : 10.1016/S0009-2509(00)00493-0

I. S. Han, J. B. Riggs, and C. B. Chung, Modeling and optimization of a fluidized catalytic cracking process under full and partial combustion modes, Chemical Engineering and Processing: Process Intensification, vol.43, issue.8, pp.1063-1084, 2004.
DOI : 10.1016/j.cep.2003.10.007

E. L. Haseltine and J. B. Rawlings, Critical Evaluation of Extended Kalman Filtering and Moving-Horizon Estimation, Industrial & Engineering Chemistry Research, vol.44, issue.8, pp.2451-2460, 2005.
DOI : 10.1021/ie034308l

M. A. Henson, Nonlinear model predictive control: current status and future directions, Computers & Chemical Engineering, vol.23, issue.2, pp.187-202, 1998.
DOI : 10.1016/S0098-1354(98)00260-9

M. Heyydari, H. Aleebrahim, and B. Dabir, Study of Seven-Lump Kinetic Model in the Fluid Catalytic Cracking Unit, American Journal of Applied Sciences, vol.7, issue.1, pp.71-76, 2010.
DOI : 10.3844/ajassp.2010.71.76

K. S. Holkar and L. M. Waghmare, An overview of model predictive control, International Journal of Control and Automation, vol.3, issue.4, 1989.

Y. Hongjun, X. Chunming, G. Jinsen, L. Zhichang, and Y. Pinxiang, Nine lumped kinetic models of fcc gasoline under the aromatization reaction conditions, Catalysis Communications, vol.7, pp.554-558, 2006.

M. Hovd and S. Skogestad, Controllability analysis for the fluid catalytic cracking process, AIChE Annual Meeting, 1991.

M. Hovd and S. Skogestad, Procedure for regulatory control structure selection with application to the FCC process, AIChE Journal, vol.39, issue.12, pp.1938-1953, 1993.
DOI : 10.1002/aic.690391205

M. Iancu, M. V. Cristea, P. Serban, and . Agachi, An advanced control solution for a fluid catalytic cracking unit, Computer Aided Chemical Engineering, vol.30, pp.797-801, 2012.
DOI : 10.1016/B978-0-444-59520-1.50018-X

S. M. Jacob, B. Gross, S. E. Voltz, and V. W. Weekman, A lumping and reaction scheme for catalytic cracking, AIChE Journal, vol.22, issue.4, pp.701-713, 1976.
DOI : 10.1002/aic.690220412

S. M. Jacob, B. Gross, S. E. Voltz, and V. W. Weekman, A lumping and reaction scheme for catalytic cracking, AIChE Journal, vol.22, issue.4, pp.701-713, 1976.
DOI : 10.1002/aic.690220412

C. Jian, S. Rohani, and A. Jutan, Fcc unit modeling, identification and model predictive control, a simulation study, Chem. Engng. P, vol.42, pp.311-325, 2003.

P. Kaboré, S. Othman, T. F. Mckenna, and H. Hammouri, Observer-based fault diagnosis for a class of non-linear systems Application to a free radical copolymerization reaction, International Journal of Control, vol.73, issue.9
DOI : 10.1080/00207170050029287

R. E. Kalman, contribution to the theory of optimal control, pp.102-119, 1960.

R. E. Kalman, Mathematical Description of Linear Dynamical Systems, Journal of the Society for Industrial and Applied Mathematics Series A Control, vol.1, issue.2, pp.152-192, 1963.
DOI : 10.1137/0301010

L. Kalra and C. Georgakis, Effect of Process Nonlinearity on the Performance of Linear Model Predictive Controllers for the Environmentally Safe Operation of a Fluid Catalytic Cracking Unit, Industrial & Engineering Chemistry Research, vol.33, issue.12, p.3063, 1994.
DOI : 10.1021/ie00036a022

R. M. De, A. R. Keyser, and . Van-cauwenberghe, Extended prediction self-adaptive control, 7th IFAC Symposium on Identification and System Parameter Estimation, pp.1255-1260, 1985.

V. K. Koratiya, S. Kumar, and S. Sinha, Modeling, simulation and optimization of fcc downer reactor, pp.183-192, 2010.

A. S. Krishna and E. S. Parkin, Modeling the regenerator in commercial fluid catalytic cracking units, Chem. Eng. Prog, vol.81, issue.4, p.57, 1985.

D. Kunii and O. Levenspiel, Fluidization Engineering, 1969.

H. Kurihara, Optimal Control of Fluid Catalytic Cracking Process, 1967.

W. H. Kwon, P. S. Kim, and P. G. Park, A receding horizon kalmana fir filter for discrete time-invariant systems, IEEE TAC, vol.44, issue.9, pp.1787-1791, 1999.

X. Lan, C. Xu, G. Wang, L. Wu, and J. Gao, CFD modeling of gas???solid flow and cracking reaction in two-stage riser FCC reactors, Chemical Engineering Science, vol.64, issue.17, pp.3847-3858, 2009.
DOI : 10.1016/j.ces.2009.05.019

E. Lee, F. R. Jr, and . Groves, Mathematical model of the fluidized bed catalytic cracking plant, Trans. Soc. Comput. Sim, vol.2, pp.219-236, 1985.

J. H. Lee and B. Cooley, Recent advances in model predictive control and other related areas, Fith international conference on chemical process control, pp.201-216, 1997.

J. H. Lee, M. Morari, and C. E. Garcia, State-space interpretation of model predictive control, Automatica, vol.30, issue.4, pp.707-717, 1994.
DOI : 10.1016/0005-1098(94)90159-7

J. H. Lee, M. Morari, and C. E. Garcia, State-space interpretation of model predictive control, Automatica, vol.30, issue.4, pp.707-717, 1994.
DOI : 10.1016/0005-1098(94)90159-7

L. S. Lee, Y. W. Chen, T. N. Huang, and W. Y. Pan, Four-lump kinetic model for fluid catalytic cracking process, The Canadian Journal of Chemical Engineering, vol.46, issue.4, pp.615-619, 1989.
DOI : 10.1002/cjce.5450670414

L. S. Lee, S. W. Yu, C. T. Chen, and W. Y. Pan, Fluidized-bed catalyst cracking regenerator modelling and analysis, The Chemical Engineering Journal, vol.40, issue.2, pp.71-82, 1989.
DOI : 10.1016/0300-9467(89)80048-6

J. Li, Z. H. Luo, X. Y. Lan, C. M. Xu, and J. S. Gao, Numerical simulation of the turbulent gas???solid flow and reaction in a polydisperse FCC riser reactor, Powder Technology, vol.237, pp.569-580, 2013.
DOI : 10.1016/j.powtec.2012.12.062

S. Li, K. Y. Lim, and D. G. Fisher, A state space formulation for model predictive control, AIChE Journal, vol.35, issue.2, pp.241-249, 1989.
DOI : 10.1002/aic.690350208

D. Ljungquist, S. Strand, and J. G. Balchen, Catalytic cracking models developed for predictive control purposes. Modeling, Identification and Control, pp.73-84, 1993.

D. G. Luenberger, Observing the State of a Linear System, IEEE Transactions on Military Electronics, vol.8, issue.2, pp.74-80, 1964.
DOI : 10.1109/TME.1964.4323124

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

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

P. Lundström, J. H. Lee, M. Morari, and S. Skogestad, Limitations of dynamic matrix control, Computers & Chemical Engineering, vol.19, issue.4, pp.409-421, 1995.
DOI : 10.1016/0098-1354(94)00063-T

W. L. Luyben and D. E. Lamb, Feed-forward control of fluidized catalytic reactorregenerator syystem, Chem. Eng. Prog. Symp. Ser, vol.59, pp.165-171, 1963.

R. C. Macfarlane, R. C. Reineman, J. F. Bartee, and C. Georgakis, Dynamic simulator for a Model IV fluid catalytic cracking unit, Computers & Chemical Engineering, vol.17, issue.3, pp.275-300, 1993.
DOI : 10.1016/0098-1354(93)80021-E

J. M. Maciejowski, Predictive Control. Pearson Education, 2002.

P. Malay, A modified integrated dynamic model of a riser type FCC unit, 1998.

P. Malay, B. J. Milne, and S. Rohani, The modified dynamic model of a riser type fluid catalytic cracking unit, The Canadian Journal of Chemical Engineering, vol.18, issue.2, pp.169-179, 1999.
DOI : 10.1063/1.4822377

F. Manenti, Considerations on nonlinear model predictive control techniques, Computers & Chemical Engineering, vol.35, issue.11, pp.2491-2509, 2011.
DOI : 10.1016/j.compchemeng.2011.04.009

R. Maya-yescasa, D. Bogle, and F. López-isunza, Approach to the analysis of the dynamics of industrial FCC units, Journal of Process Control, vol.8, issue.2, pp.89-100, 1998.
DOI : 10.1016/S0959-1524(97)00030-9

D. Q. Mayne, Nonlinear model predictive control : an assessment, Fith international conference on chemical process control, pp.217-231, 1997.

R. C. Mcfarlane, R. C. Reinemann, J. F. Bartee, and C. Georgakis, Dynamic simulator for a Model IV fluid catalytic cracking unit, Computers & Chemical Engineering, vol.17, issue.3, pp.275-300, 1993.
DOI : 10.1016/0098-1354(93)80021-E

R. A. Meyers, Handbook of Petroleum Refining Processes, 2003.

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. Mihet and V. M. Cristea, Contributions to the model predictive control of the uop fluid catalytic cracking unit, Rev. Roum. Chim, vol.56, issue.12, pp.1093-1100, 2011.

A. M. Morshedi, C. R. Cutler, and T. A. Skrovanek, Optimal solution of dynamic matrix control with linear programming techniques, Proc.Am.Control, pp.199-208, 1985.

M. Morari and J. H. Lee, Model predictive control : The good,the bad, and the ugly, Fourth international conference on chemical process control, pp.419-444, 1991.

M. Morari and J. H. Lee, Model predictive control: past, present and future, Computers & Chemical Engineering, vol.23, issue.4-5, pp.667-682, 1999.
DOI : 10.1016/S0098-1354(98)00301-9

L. F. Moro and D. Odloak, Constrained multivariable control of fluid catalytic cracking converters, Journal of Process Control, vol.5, issue.1, pp.29-39, 1995.
DOI : 10.1016/0959-1524(95)95943-8

L. F. Lautenschlager-moro and D. Odloak, Constrained multivariable control of fluid catalytic cracking converters, Journal of Process Control, vol.5, issue.1, pp.29-39, 1995.
DOI : 10.1016/0959-1524(95)95943-8

K. R. Muske and J. B. Rawlings, Model predictive control with linear models, AIChE Journal, vol.39, issue.2, pp.262-287, 1993.
DOI : 10.1002/aic.690390208

D. M. Nace, S. E. Voltz, and V. M. Weekman, Application of a Kinetic Model for Catalytic Cracking. Effects of Charge Stocks, Industrial & Engineering Chemistry Process Design and Development, vol.10, issue.4, pp.530-537, 1971.
DOI : 10.1021/i260040a018

E. A. Nt and A. R. Secchi, Dynamic optimization of a fcc converter unit : Numerical analysis, Bra. J. of Chem. Eng, vol.26, issue.1, pp.117-136, 2011.

X. Ou-guan, S. Hong-ye, M. Sheng-jing, and C. Jian, 7-lump kinetic model for residual oil catalytic cracking, Journal of Zhejiang University SCIENCE A, vol.11, issue.7, pp.1932-1941, 2006.

G. Pandimadevi, P. Indumathi, and V. Selvakumar, Design of Controllers for a Fluidized Catalytic Cracking Process, Chemical Engineering Research and Design, vol.88, issue.7, pp.875-880, 2010.
DOI : 10.1016/j.cherd.2009.11.021

C. I. Pinheiro, J. L. Fernandes, L. Domingues, A. J. Chambel, I. Graça et al., Fluid Catalytic Cracking (FCC) Process Modeling, Simulation, and Control, Industrial & Engineering Chemistry Research, vol.51, issue.1, 2011.
DOI : 10.1021/ie200743c

S. J. Qin and T. A. , A survey of industrial model predictive control technology, Control Engineering Practice, vol.11, issue.7, pp.733-764, 2003.
DOI : 10.1016/S0967-0661(02)00186-7

C. V. Rao, J. B. Rawlings, and J. H. Lee, Constrained linear state estimation???a moving horizon approach, Automatica, vol.37, issue.10, pp.1619-1628, 2001.
DOI : 10.1016/S0005-1098(01)00115-7

C. V. Rao, J. B. Rawlings, and D. Q. Mayne, Constrained state estimation for nonlinear discrete-time systems: stability and moving horizon approximations, IEEE Transactions on Automatic Control, vol.48, issue.2, pp.246-258, 2003.
DOI : 10.1109/TAC.2002.808470

J. B. Rawlings and K. R. Muske, The stability of constrained receding horizon control, IEEE Transactions on Automatic Control, vol.38, issue.10, pp.1512-1516, 1993.
DOI : 10.1109/9.241565

J. B. Rawlings, E. S. Meadows, and K. R. Muske, Nonlinear model predictive control :a tutorial and survey, IFAC ADCHEM, Japan, 1993.

J. Richalet, A. Rault, J. L. Testud, and J. Papon, Model predictive heuristic control, Automatica, vol.14, issue.5, pp.413-428, 1978.
DOI : 10.1016/0005-1098(78)90001-8

D. G. Robertson, J. H. Lee, and J. B. Rawlings, A moving horizon-based approach for least-squares estimation, AIChE Journal, vol.42, issue.8, pp.2209-2224, 1996.
DOI : 10.1002/aic.690420811

R. Roman, Z. K. Nagy, M. V. Cristea, and S. P. Agachi, Dynamic modelling and nonlinear model predictive control of a Fluid Catalytic Cracking Unit, Computers & Chemical Engineering, vol.33, issue.3, pp.605-617, 2009.
DOI : 10.1016/j.compchemeng.2008.08.007

R. Sadeghbeigi, Fluid Catalytic Cracking Handbook, 2000.

R. Sadeghbeigi, Fluid Catalytic Cracking Handbook : An expert guide to the Practical Operation, Design, and Optimization of FCC Units

K. Schittkowski, NLPQL: A fortran subroutine solving constrained nonlinear programming problems, Annals of Operations Research, vol.14, issue.1-4, pp.485-500, 1985.
DOI : 10.1007/978-3-642-48320-2

A. R. Secchi, M. G. Santos, G. A. Neumann, and J. O. Trierweiler, A dynamic model for a FCC UOP stacked converter unit, Computers & Chemical Engineering, vol.25, issue.4-6, pp.851-858, 2001.
DOI : 10.1016/S0098-1354(01)00659-7

J. G. Sepeight, The Chemistry and Technology of Petroleum, 2006.
DOI : 10.1201/9780824742119

F. Shayegh, A. Farshi, and A. Dehgan, A Kinetics Lumped Model for VGO Catalytic Cracking in a Fluidized Bed Reactor, Petroleum Science and Technology, vol.47, issue.9, pp.945-957, 2012.
DOI : 10.1021/i260025a018

N. Sheibat-othman, D. Peycelon, S. Othman, J. M. Suaua, and G. Févotte, Nonlinear observers for parameter estimation in a solution polymerization process using infrared spectroscopy, Chemical Engineering Journal, vol.140, issue.1-3, pp.529-538, 2008.
DOI : 10.1016/j.cej.2007.11.039

URL : https://hal.archives-ouvertes.fr/hal-00358398

R. Shridar and D. J. Cooper, A novel tuning strategy for multivariable model predictive control, ISA Transactions, vol.36, issue.4, pp.273-280, 1998.
DOI : 10.1016/S0019-0578(97)00036-0

D. Simon, Optimal State Estimation -Kalman, H ? and Nonlinear Approaches, 2006.

S. Skogestad and M. Morari, Implications of large RGA-elements on control performance, Industrial & Engineering Chemistry Research, vol.26, issue.11, pp.2323-2330, 1987.
DOI : 10.1021/ie00071a025

R. Soeterboek, Predictive control-A unified approach, 1992.

P. Tatjewski, Advanced Control of Industrial Processes : Structures and Algorithms Advances in Industrial Control, 2007.

W. G. Vieira, V. M. Santos, F. R. Carvalho, J. A. Pereira, and A. M. , Identification and predictive control of a FCC unit using a MIMO neural model, Chemical Engineering and Processing: Process Intensification, vol.44, issue.8, pp.44855-868, 2005.
DOI : 10.1016/j.cep.2004.08.008

H. L. Wang, G. Wang, D. C. Zhang, C. M. Xu, and J. S. Gao, Eight-Lump Kinetic Model for Upgrading Residue by Carbon Rejection in a Fluidized-Bed Reactor, Energy & Fuels, vol.26, issue.7, pp.4177-4188, 2012.
DOI : 10.1021/ef300314a

V. W. Weekman and D. M. Nace, Kinetics of catalytic cracking selectivity in fixed, moving, and fluid bed reactors, AIChE Journal, vol.16, issue.3, pp.397-404, 1970.
DOI : 10.1002/aic.690160316

O. G. Xu, H. Y. Su, S. J. Mu, and J. Chu, 7-lump kinetic model for residual oil catalytic cracking, Journal of Zhejiang University-SCIENCE A, vol.7, issue.11, pp.1932-1941, 2006.
DOI : 10.1631/jzus.2006.A1932

J. G. Yates, Fundamentals of fluidized-bed chemical processes, 1983.

B. E. Ydstie, Extended Horizon Adaptive Control, IFAC 9th World Congress Budapest Hungary, pp.911-915, 1985.
DOI : 10.1016/S1474-6670(17)61089-9

L. Yen, R. Wrench, and A. Ong, Reaction kinetic correlation for predicting coke yield in fluid catalytic cracking, Katalistisks 8 th Annual Fluid Catalytic Cracking Symposium, 1987.

A. C. Zanin, J. Niederberger, V. J. Camolesi, and L. F. Moro, Industrial implementation of real time optimization in an fcc converter, Enpromer, Rio de Janeiro, 2005.

C. Zhu, R. H. Byrd, P. Lu, and J. Nocedal, L-BFGS-B : a limited memory FORTRAN code for solving bound constrained optimization problems, 1994.

G. Zimmer, State observation by on-line minimization, International Journal of Control, vol.30, issue.4, pp.595-606, 1994.
DOI : 10.1080/00207177308932395