Adaptive Extremum-seeking Control of Fed-batch Cultures of Micro-organisms exhibiting Overflow Metabolism

Laurent Dewasme1,  Alain Vande Wouwer1,  Bala Srinivasan2,  Michel Perrier2
1Faculté Polytechnique de Mons, 2Ecole Polytechnique de Montréal


Abstract

Overflow metabolism characterizes cells strains that are likely to produce inhibiting metabolites resulting from an excess of substrate feeding and a saturated respiratory capacity. The critical substrate level separating the two different metabolic pathways is generally not well defined. This paper proposes two non-model based extremum-seeking strategies preventing a too important accumulation of inhibiting metabolites in fed-batch cultures, by estimating the critical substrate level on the basis of 3 simple measurements related to the feeding, oxygen and carbon dioxide. A simple substrate controller based on Lyapunov stability arguments is then designed and tested in combination with the two extremum-seeking schemes.