15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
ADAPTIVE EXTREMUM SEEKING CONTROL OF CONTINUOUS STIRRED TANK BIOREACTORS
T. Zhang* M. Guay* D. Dochain**
* Department of Chemical Engineering, Queen’s University, Kingston,
Ontario, Canada K7L 3N6
** CESAME, UCL, 4-6 Avenue G. Lemaître B-1348 Louvain-la-Neuve,
Belgium

In this paper, we present an adaptive extremum seeking control scheme for continuous stirred tank bioreactors. The proposed adaptive extremum seeking approach utilizes the structure information of the kinetics of the bioreactors to construct a seeking algorithm that drives the system states to the desired set-points that extremize the value of an objective function. Lyapunov’s stability theorem is used in the design of the extremum seeking controller stucture and the development of the parameter learning laws. Simulation experiment is given to show the effectiveness of the proposed approach.
Keywords: Extremum seeking, Lyapunov function, parameter estimation, persistence of excitation
Session slot T-Tu-M13: Dynamics and Control of Bioprocesses/Area code 7d : Control of Biotechnological Processes