Optimal Control of a Well-Stirred Bioreactor in the Presence of Stochastic Perturbations

Article type: Research Article

Authors: Azhmyakov, Vadim

Affiliations: Institute of Mathematics and Computer Sciences, Ernst-Moritz-Arndt University of Greifswald, Jahnstr. 15a, D–17487 Greifswald, Germany. E-mail: azmjakow@uni-greifswald.de

Abstract: We study the stochastic model for bioremediation in a bioreactor with ideal mixing. The dynamics of the examined system is described by stochastic differential equations. We consider an optimal control problem with quadratic costs functional for the linearized model of a well-stirred bioreactor. The optimal control is based on the optimal robust state estimates. The approximate optimal solution is obtained as a linear feedback.

Keywords: optimal robust estimation, optimal control, Bellman optimality principle, linear feedback

DOI: 10.3233/INF-2002-13201

Journal: Informatica, vol. 13, no. 2, pp. 133-148, 2002