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Due to a lack of on-line reliable sensors, the measurement of biological variables such as biomass concentration and its specific growth rate, is not possible; this fact can be a difficulty, mainly when considering state feedback control problems. The aim of this paper consists of designing an estimator of biological variables and parameters in the case of a nonlinear distributed parameter bioreactor. By applying an orthogonal collocation method, the distributed parameter model is transformed into a lumped parameter model. Then, a joint estimator of time-varying parameters and state variables is designed by using asymptotic stability properties. Simulation runs show the feasibility and the robustness of the estimator designed for this nonlinear process.
Czasopismo
Rocznik
Tom
Strony
93--110
Opis fizyczny
Bibliogr. 12 poz., tab., wykr.
Twórcy
autor
- Laboratoire d’Analyse et Controle des Systèmes Ecole Nationale d’Ingénieurs de Tunis B.P. 37 - Tunis Belvédère 1002, Tunisia
autor
- aboratoire d’Analyse et d’Architecture des Systèmes (CNRS) 7 Avenue du Colonel Roche 31077 Toulouse Cedex 4, France
Bibliografia
- [1] G. Bastin and D. Dochain : On-line estimation and adaptive control of bioreactors. Elsevier, Amsterdam, 1990.
- [2] O. Boubaker , R. M Hiri , M. Ksouri and J.P. Babary : Sliding control of linear input delay systems. IMACS’97, Berlin, Germany, 5 (1997) 91-96.
- [3] G. Chamilothoris and Y. Sévely : Adaptive control of biomass and substrate concentration in a continuous-flow fermentation process. RAIRO Automatique, Productique, Informatique Industrielle, 22 (1988), 159-175.
- [4] B. Dahhou , G. Roux and I. Queinnec : Adaptive control of a continuous fermentation process. IMACS’91, Lille, France, 2 (1991) 738-743.
- [5] J. Flaus : Estimation de l’état de bioprocédés à partir de mesures indirectes. Doctorate Thesis, INP Grenoble, France, 1990.
- [6] S. Jorgensen : Fixed bed reactor dynamics and control - A review. IFAC Conference on Control of Distillation Columns and Chemical Reactors, Pergamon, New York, (1986) 11-24.
- [7] M. T. Nihtilä , P. Harmo and M. Perttula : Real time growth estimation in batch fermentation. IFAC World Congress, Budapest, Hungary, (1984) III-225-230.
- [8] H. H. Rosenbrock : The stability of linear time-dependent control systems. J. of Electronics and Control, 15(1), (1963) 73-80.
- [9] N. Tali-Maamar , T. Damak , J.P. Babary and M.T. Nihtilä : Application of a collocation method for simulation of distributed parameter bioreactors. Mathematics and Computers in Simulation, 35 (1993) 303-309.
- [10] J. V. Villadsen and L. Michelsen : Solution of differential equation models by polynomial approximation. Prentice Hall, London, UK, 1978.
- [11] M. Wysocki : Application of orthogonal collocation to simulation and control for first order hyperbolic systems. Mathematics and Computers in Simulation, XXV (1983) 335-345.
- [12] F. Y. Zeng , B. Dahhou and M.T. Nihtilä : Adaptive control of a nonlinear fermentation proces via MRAC technique. Applied Mathematical Modelling, 24(11), (1993) 1973-1985.
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Bibliografia
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bwmeta1.element.baztech-article-BSW9-0007-1371