Nonlinear control for algae growth models in the chemostat

Bioprocess and Biosystems Engineering

Volumn 27, Issue 5, 2005, Pages 319-327

  Mailleret, L ^a   Gouze J L ^a   Bernard, O ^a  

^a INRIA   (France)

Author keywords

Algae growth; Chemostat; Nonlinear control; Variable yield model

Indexed keywords

ABSORPTION; CELLS; CHEMOSTATS; COMPUTER SIMULATION; CONTROL EQUIPMENT; FEEDBACK CONTROL; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS;

ALGAE GROWTH; GROWTH MODELS; GROWTH RATE; VARIABLE YIELD MODEL;

ALGAE;

ABSORPTION; ALGA; ALGAL GROWTH; ARTICLE; BIOPROCESS; CELL GROWTH; CHEMOSTAT; PHYTOPLANKTON; PRIORITY JOURNAL; SIMULATION;

ALGAE; ALGORITHMS; BIOREACTORS; CELL CULTURE TECHNIQUES; CELL PROLIFERATION; COMPUTER SIMULATION; FEEDBACK; GENE EXPRESSION REGULATION; KINETICS; MODELS, BIOLOGICAL; NITROGEN; NONLINEAR DYNAMICS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; OXYGEN; SIGNAL TRANSDUCTION; SYSTEMS BIOLOGY;

ALGAE;

EID: 23944441696     PISSN: 16157591     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00449-005-0410-8     Document Type: Article

References (19)

1. Bernard O (1995) Etude expérimentale et théorique de la croissance de Dunaliella tertiolecta soumise à une limitation variable de nitrate utilisation de la dynamique transitoire pour la conception et la validation de modèles. Université Paris VI
2. Bernard O, Gouzé JL (1995) Transient behavior of biological loop models with application to the Droop model. Math Biosci 127:19-43
3. Chicone C (1999) Ordinary differential equations with applications texts in applied mathematics. Springer, Berlin Heidelberg New York
4. Droop MR (1968)Vitamin B12 and marine ecology. IV. The kinetics of uptake growth and inhibition in Monochrysis Lutheri. J Mar Biol Assoc UK 48:689-733
5. Henson MA, Seborg DE (1997) Nonlinear process control. Prenctice Hall, Englewood Cliffs
6. Khalil HK (1992) Nonlinear systems. Macmillan, New York
7. Lange K, Oyarzun FJ (1992) The attractiveness of the Droop equations. Math Biosci 111:61-278
8. Luenberger DG (1979) Introduction to dynamic systems. Theory models and applications. Wiley, New York
9. Mailleret L (2003) Positive control for a class of nonlinear positive systems. In: Benvenutti L, De Santis A, Farina L (eds) Positive systems Lecture Notes in Control and Informations Sciences, vol 294. Springer, Berlin Heidelberg New York, pp 175-182
10. Mailleret L (2004) Stabilisation globale de systèmes dynamiques positifs mal connus. Applications en biologie. Université de Nice Sophia, Antipolis
11. Mailleret L, Bernard O, Steyer JP (2003) Robust regulation of anaerobic digestion. Processes Water Sci Technol 48(6):87-94
12. Mailleret L, Bernard O, Steyer JP (2004) Nonlinear adaptive control for bioreactors with unknown kinetics. Automatica 40(8):1379-1385
13. Markus L (1956) Asymptotically autonomous differential systems. Annals of mathematics studies 36. Princeton University Press, New Jersey, pp 17-29
14. Monod J La technique de culture continue; théorie et applications. Annales de l'Institut Pasteur 79:390-401
15. Nijmeijer H, van der Schaft AJ (1991) Nonlinear dynamical control systems. Springer, Berlin Heidelberg New York
16. Oyarzun FJ, Lange K (1994) The attractiveness of the Droop equations. 2. Generic uptake and growth functions. Math Biosci 121:127-139
17. Smith HL (1995) Monotone dynamical systems an introduction to the theory of competitive and cooperative systems. Mathematical surveys and monographs. American Mathematical Society
18. Smith HL, Waltman P (1995) The theory of the chemostat: dynamics of microbial competition. Cambridge University Press, Cambridge
19. Thieme HR (1992) Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. J Math Biol 30:755-763