COMORE
Modelling and
Control of Renewable Resources
Page en Français
Organization: INRIA
Research Unit: Sophia Antipolis
Phone: + 33 (0)4 92 38 76 97
Fax: + 33 (0)4 92 38 78 58
I have perfomed my Phd Thesis in Control Theory applied to Positive systems control, works applying to the control of badly modelled biological processes, within the COMORE research team and under the supervision of Drs Jean-Luc Gouzé et Olivier Bernard. I have defended my PhD in May 2004 and obtained the Doctor's Degree from the Université de Nice Sophia Antipolis (UNSA) in Control theory. From September 2003 to September 2004, I have been a lecturer in Mathematics at the Université de Nice Sophia Antipolis (UNSA).
Research Activities
My PhD thesis focus on problems related to the control of positive systems of nonlinear ordinary differential equations. Biological models, that aim at describing the evolution of positive quantities, do belong to this class of systems. These models often include some parts, related to the considered phenomenon's biology, which have unknown analytical expressions but are known in a qualitative manner. In this thesis, I propose to use some of these qualitative properties together with a control law, based on the measurement of the uncertain part, in order to globally stabilize any trajectory towards a single equilibrium.
A brief state of the art on positive systems begins the thesis. I introduce then a control law, able to ensure the global stabilization of the considered class of nonlinear positive dynamical systems. The introduction of an adaptive part enhance the proposed approach, so that the control law is able to deal with some parameter uncertainties.
I apply these results to some biological models: fishery magement model, bioreactors exploiting microorganisms... One of the main applications concerns cascade bioreactions occuring in bioreactors. Some experimental tests on an anaerobic digester plant (an effcient but multi-stable waste water treatment plant) of the proposed control strategy, validate the introduced theory.
L. Mailleret, J-L. Gouzé and O. Bernard. « Nonlinear control for algae growth models in the chemostat », Bioprocess and Biosystems Engineering. To appear.
L. Mailleret, O. Bernard and J.P. Steyer. « Nonlinear adaptive control for bioreactors with unknown kinetics », Automatica, 2004, Volume 40-8, pp 1379-1385.
L. Mailleret, O. Bernard and J.P. Steyer. « Robust regulation of anaerobic digestion processes », Water Science and Technology, 2003, Volume 48-6, pp 87-94.
L. Mailleret, O. Bernard and J.P. Steyer. « Contrôle asymptotique non linéaire des fermenteurs anaérobie », Journal Européen des Systèmes Automatisés (JESA), 2003, Volume 37-2, pp 273-284.
Articles in International Books
L. Mailleret. « Positive control for a class of nonlinear positive systems », In Positive Systems, Lecture Notes in Control and Information Sciences (LNCIS), Springer, Volume 294, pp 175-182, 2003.
Contributions to Peer Reviewed International Conferences
L. Mailleret, J.L. Gouzé and O. Bernard. « Nonlinear control for algae growth models in the chemostat », in Proceedings of European Control Conference (ECC 03). Cambridge, Royaume Uni. 1-4 September 2003.
L. Mailleret, O. Bernard and J.P. Steyer. « Robust regulation of anaerobic digestion processes ». in Proceedings of VII Latin American Workshop and Symposium on Anaerobic Digestion. Merida, Mexique, 22-25 october 2002.
L. Mailleret, O. Bernard and J.P. Steyer. « Contrôle asymptotique non linéaire des fermenteurs anaérobie ». in Proceedings of Conférence Internationale Francophone d'Automatique (CIFA 02), Nantes, France. 8-10 july 2002. Third IEEE price for best papers.
L. Mailleret and O. Bernard. « A simple robust controller to stabilise an anaerobic digestion process ». in Proceedings of 8th International Conference on Computer Applications in Biotechnology, Modelling and Control of Biotechnological Processes (CAB 8), Québec, Canada 24-27 june 2001.
Posters
L. Mailleret, A. Helias, O. Bernard, J. Rodriguez, G. Ruiz and E. Roca. « Use of an ADM1 based virtual plant for validation of a simple and adaptive closed loop controller ». Poster. 10th World Congress on Anaerobic Digestion (AD10-2004). Montréal, Canada. September 2004.
L. Mailleret, O. Bernard and J.P. Steyer. « Nonlinear asymptotic control for bioreactors ». Poster. Conference on Applied Mathematics and Applications of Mathematics (AMAM 03). Nice, France. 10-13 février 2003.
Reports
L. Mailleret. « Stabilisation globale de Systèmes Dynamiques Positifs Mal Connus. Applications en Biologie ». PhD Thesis. Université de Nice Sophia Antipolis (UNSA), May 2004.
L. Mailleret. « Analyse et contrôle d'un modèle de fermentation anaérobie ». M.Sc. In Control Theory Report. Université des Sciences et Techniques de Lille (USTL), September 2000.
Preprints may be requested by e-mail at : ludovic.mailleret@inria.fr