Abstract
The aim of this chapter is to apply the results developed in the previous chapters to different real plants. The first application is about control of pH degree in a stirred tank, where a solution of high concentration of the acid ClH is mixed with water to obtain a liquid of controlled pH. The second application concerns the control of a nonlinear biological nitrogen removal process. Thus, design steps of an observer-based control scheme applied to the linearized model of a phenomenological model of the process are illustrated. The estimation algorithm is combined with the control technique to monitor the process. The goal of the control is the removal or at least the reduction of organic waste. The control law is based on the positive invariance concept that had shown efficiency in handling control constraints. The efficiency of both the control and the estimation is demonstrated via computer simulations.
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References
M. Ait Rami , H. Ayad, F. Mesquine, Enlarging ellipsoidal invariant sets for constrained linear systems. Int. J. Innov. Comput. Inf. Control 3(5), 1097–1108 (2007)
G. Bastin, D. Dochain, On line estimation and adaptive control of bioreactors. Anal. Chim. Acta 243, 324 (1990)
C.A. Belchiora, R.A. Araujo, J.A. Landeckb, Dissolved oxygen control of the activated sludge wastewater treatment process using stable adaptive fuzzy control. Comput. Chem. Eng. 37, 152–162 (2012)
A. Benzaouia, The resolution of equation XA + XBX = HX and the pole assignment problem. IEEE Trans. Autom. Control 39(10), 2091–2095 (1994)
A. Benzaouia, F. Tadeo, F. Mesquine, The regulator problem for linear systems with saturation on the control and its increments or rate: an LMI approach. IEEE Circuit Syst. I 53, 2673–2680 (2006)
K.K. Biasizzo, I. Skrjanc, D. Matko, Fuzzy predictive control of highly nonlinear pH process. Comput. Chem. Eng. 21, s613–s618 (1997)
B. Boulkroune, M. Darouach, M. Zasadzinski, S. Gille, D. Fiorelli, A nonlinear observer design for an activated sludge wastewater treatment process. J. Process Control 19, 1558–1565 (2009)
D. Dochain, Design of adaptive controller for nonlinear stirred mnk bioreactors: extension to the MlMO situation. J. Process Control 1, 41–48 (1991)
O. Galan, J.A. Romagnoli, A. Palazoglu, Robust \(H_{\infty }\) control of nonlinear plants based on multi-linear models: an application to a bench-scale pH neutralization reactor. Chem. Eng. Sci. 55, 4435–4450 (2000)
T.F. Gustafsson, K.V. Waller, Nonlinear and adaptive control of pH. Ind. End. Chem. Res. 24, 809–817 (1992)
M. Henze, C.P. Leslie Grady, W. Gujerm, G.V.R. Maraism, T. Matsuo, Activated sludge Model No.1. I.A.W.Q., Scientific and technical Report No. 1, (1987)
J.B. Lassere, Reachable controllable sets and stabilizing control of constrained systems. Automatica 29, 531 (1993)
D.G. Luenberger, An introduction to observers. IEEE Trans. Autom. Control AC-16(6), 596–602 (1971)
F. Mesquine, Contribution à la commande des systèmes dynamiques discrets avec contraintes sur les entrées par application du concept d’invariance positive. Cadi Ayyad University, thèse de doctorat de troisième cycle (1992)
F. Mesquine, D. Mehdi, Constrained observer for linear continuous time systems. Int. J. Syst. Sci. 27(12), 1363–1369 (1996)
F. Mesquine, Contribution à la commande des systèmes linéaires à entrées contraintes par les observateurs et nouvelles méthodologie de placement de pôles. Cadi Ayyad University, thèse de doctorat d’état (1997)
F. Mesquine, F. Tadeo, A. Benzaouia, Regulator problem for linear systems with constraints on control and its increment or rate. Automatica 40(8), 1387–1395 (2004)
F. Mesquine, F. Tadeo, A. Benlamkadem, Constrained regulator problem for linear uncertain systems: control of a PH process. Math. Probl. Eng. (2006). doi:10.1155/MPE/2006/51874
F. Nejjari, A. Benhammou, B. Dahhou, G. Roux, Nonlinear multivariable control of a biological wastewater treatment process, in 4th European Control Conference (Bruxelles, Belgique, 1997)
F. Nejjari, E. Dahhou, A. Benhammou, G. Roux, Nonlinear multivariable adaptive control of an activated sludge wastewater treatment process. Int. J. Adapt. Control Signal Process 13, 347–365 (1999)
F. Nejjari, J. Quevedo, Predictive control of a nutrient removal biological plant, in American Control Conference, june 30–july 2 (Boston, Massachusetts, 2004)
M. O’Brien, J. Mack, B. Lennox, D. Lovett, A. Wall, Model predictive control of an activated sludge process: a case study. Control Eng. Pract. 19, 54–61 (2011)
O. Pérez, F. Tadeo, P. Vega, Robust control of pH control plant, in Proceedings of the IEEE Conference on Control Applications (Albany, 1995)
Y. Smetsa Ilse, J.V. Haegebaerta, R. Carretteb, J.F. Van Impea, Linearization of the activated sludge model ASM1 for fast and reliable predictions. Water Res. 37, 1831–1851 (2003)
A. Stare, N. Hvala, D. Vrecko, Modeling, Identification, and validation of models for predictive ammonia control in a wastewater treatment plant-a case study. ISA Trans. 45(2), 159–174 (2006)
S.W. Sung, I.B. Lee, pH control using a simple set point change. Ind. Eng. Chem. Res. 34, 1730–1734 (1995)
F. Tadeo, M. J. Grimble, Controller design using linear programming for systems with constraints. Part 1: Tutorial Introduction; Part 2: Controller Design; Part 3: Design Examples, IEE Comput. Control Eng. J. 12, 273–276 (2002), 13, 49–52, 89–93 (2003)
H. Zhao, S.H. Issacs, H. Soeberg, M. Kummel, Nonlinear optimal control of an allmating activated sludge process in a pilot plant. J. Process control 4, 33–43 (1994)
B. Zhou, Q. Wang, Z. Lin, G. Duan, Gain scheduled Control of linear systems subject to actuator saturation with application to spacecraft rendezvous. IEEE Trans. Control Syst. Technol. 22(5), 2013–2038 (2014)
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Benzaouia, A., Mesquine, F., Benhayoun, M. (2018). Case Studies. In: Saturated Control of Linear Systems. Studies in Systems, Decision and Control, vol 124. Springer, Cham. https://doi.org/10.1007/978-3-319-65990-9_11
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