1Faculty of Chemical and Petroleum Engineering, Sharif University of Technology, P.O. Box 11155-9465 Tehran, I.R. IRAN
2Faculty of Chemical and Petroleum Engineering, Sharif University of Technology,P.O. Box 11155-9465 Tehran, I.R. IRAN
3Faculty of Mechanical Engineering, Sharif University of Technology, P.O. Box 11155-9567 Tehran, I.R. IRAN
In this paper, control of a non-isothermal continuous stirred tank reactor in which two parallel autocatalytic reactions take place has been addressed. The reactor shows chaotic behavior for a certain set of reactor parameters. In order to control the product concentration, an optimal state feedback controller has been designed. Since concentrations of reactor species are not measured, an observer has been designed for implementation of the proposed control scheme. The local asymptotic stability of the closed-loop system including observer dynamics has been shown via the Lyapunov stability theorem. Effectiveness of the proposed controller in load rejection and set point tracking has been illustrated through simulation.
 Gorbunoff M.J., The Interaction of Proteins with Hydroxylapatite. II. Role of Acidic and Basic Groups, Anal. Biochem.,136, p. 433 (1984b).
 Graham E.E., Pucciani A./ Pinto N.G., A Comparative Study of Models to Predict Protein Adsorption, Biotechnology Progress, 3, p. 141 (1987).
 Shi D., Jiang G., Wen X., In Vitro Bioactive Behavior of Hydroxylapatite-Coated Porous Al2O3, J. of Biomedical Material Research, Applied Biomaterials, 53, p. 475 (2000).
 Kandori K., Fudo A., Ishikawa T., Study on the Particle Texture Dependence of Protein Adsorption by Using Synthetic Micrometer-Sized Calcium Hydroxylapatite Particles, Colloids and Surfaces B: Biointerfaces, 24, p. 145 (2002).
 Sharpe J.R., Sammons R.L., Marquis P.M., Effect of pH on Protein Adsorption to Hydroxylapatite and Tricalcium Phosphate Ceramics, Biomaterials, 18, p. 471 (1997).
 Norde W., Adsorption of Proteins from Solution at the Solid-Liquid Interface, Adv Colloid Interface Sci., 25, p. 267 (1986).
 Andrade J.D., "Surface and Interfacial Aspects of Biomedical Polymers, Surface Chemistry and Physics", Plenum Press, New York, (1985).
 Brash J.L., Horbett T.A., "Proteins at Interface", ACS Symposium Series, 602, Washington DC, (1995).
 Andrade J.D., Hlady V., Peng L., Yingery K., "Interfacial Phenomena and Bioproducts",Dekker,New York, (1996).
 Jaffe W.L., Scott D.F., Total Hip Arthroplasty with Hydroxylapatite-Coated Prostheses, J. Bone Joint Surg., 78A, p. 1918 (1996).
 LeGeros R.Z., "Calcium Phosphates in Oral Biology and Medicine", Chap. 6, H. M. Myers, ed., Karger,Basel(1991).
 Chow L.C., Sun L., Hockey B., Properties of Nanostructured Hydroxylapatite Prepared by a Spray Drying Technique, Res. Natl. Stand. Technol., 109, p. 543 (2004).
 Fragues C., Bailly M., Grevillot G., Adsorption of BSA and Hemoglobin on Hydroxylapatite Support: Equilibria and Multicomponent Dynamic Adsorption, Adsorption, 4, p. 5 (1998).
 Kawasaki T., Niikura M., Takahashi S., Kobayashi, W., Strontium-Phosphate Hydroxylapatite High-Performance Liquid Chromatography, Biochem. Int., 15, p. 1137 (1987).
 Kawasaki T., Kobayashi W., Ikeda K., Takahashi S., Monma H., High-Performance Liquid Chromatography using Spherical Aggregates of Hydroxylapatite Micro-Crystals as Adsorbent, Eur. J. Biochem., 157, p. 291 (1986).
 Kazuhiko K., Yumi U., Tatsuo I., Effects of Acetonitrile on Adsorption Behavior of Bovine Serum Albumin onto Synthetic Calcium Hydroxylapatite Particles, J. of Colloid and Interface Science, 252, p. 269 (2002).
 Creighton T.H., "Proteins",Freeman,New York, (1993).
 Franks F., "Characterization of Proteins", Humana, New Jersey, 1988.
 Mysels K.J., "Introduction to Colloid Chemistry",Krieger,New York, (1978).
 Tanford C., "Physical Chemistry of Macromolecules", Wiley, New York, (1961).
 Luo Q., Andrade J.D., Cooperative Adsorption of Proteins onto Hydroxylapatite, J. of Colloid and Interface Science, 200, p. 104 (1998).
 Antonelli M.L., Capalbi A., Gente,G., Palacios, A.C., Sallustio S., and MesaC.L., Thermodynamic Properties of the Bovine Serum Albumin-Sodium Taurodeoxycholate System, Colloids and SurfacesA: Physicochemical and Engineering Aspects, 246, p. 127 (2004).
 Lu R.C., Cao A.N., Lai L.H., Xiao J.X., Interaction Between β-Lactoglobulin and Perfluorooctanoate Surfactants: Effect of Surfactant Counterion, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 292, p. 279 (2007).
 Pekel N., Salih B., Güven O., Metal ion Promoted Hydrogels for Bovine Serum Albumin Adsorption: Cu(II) and Co(II) Chelated Poly[(N-vinylimidazole)-Maleic Acid], Colloids and Surfaces B: Biointerfaces, 42, p. 89 (2005).
 Brunauer S., Emmett P.H., Teller E., Adsorption of Gases in Multimolecular Layers, J. Am. Chem. Soc., 60, 309 (1938).
 Verwilghen, C., Rio, S., Nzihou, A., Gauthier, D., Flamant, G. and Sharrock, P.J., Preparation of High Specific Surface Area Hydroxylapatite for Environmental Applications, J. Mater Sci., 42, p. 6062 (2007).
 Kopac T., Bozgeyik K., Yener J., Effect of pH and Temperature on the Adsorption of Bovine Serum Albumin onto Titanium Dioxide, Colloids and Surfaces A: Physicochemical Engineering Aspects, 322, p. 19 (2008).
 Beigi M. et al., Batch Equilibrium and Kinetics Studies of Cd (II) Ion Removal from Aqueous Solution Using Porous Chitosan Hydrogel Beads, Iran. J. Chem. Chem. Eng., 28, p. 3 (2009).
 Freundlich HMF., Over the Adsorption in Solution, J. Phys. Chem., 57 (1906).
 Kandori K., ShimizuT., Yasukawa A., Kandori K., Adsorption of Bovine Serum Albumin onto Synthetic Calcium Hydroxylapatite: Influence of Particle Texture, Colloids and Surfaces B: Biointerfaces, 5, p. 81 (1995).
 Kawasaki T., Ikeda K., Takahashi S., Kuboki Y., Further Study of Hydroxylapatite High-Performance Liquid Chromatography using Both Proteins and Nucleic Acids, and a New Technique to Increase Chromatographic Efficiency, Eur. J. Biochem., 155, p. 249 (1986).
 Yin G., Liu Z., Zhan J., Ding F., Yuan N., Impacts of the Surface Charge Property on Protein Adsorption on Hydroxylapatite, Chemical Engineering Journal, 87, p. 181 (2002).