Equivalent Models and Exact Linearization by the Optimal Control of Monod Kinetics Models

Abstract

The well-known global biotechnological models are non-linear and nonstationary. In addition the process variables are difficult to measure, the model parameters are time varying, the measurement noise and measurement delay increase the control problems, etc. One possible way to solve some of these problems is to determine the most simple and easy for use equivalent models. The differential geometric approach [DGA] and especially the exact linearization permit an easy application of the optimal control. The approach and its application in the control of the biotechnological process are discussed in the paper. The optimization technique is used for fed-batch and continuos biotechnological processes when the specific growth rate is described by the Monod kinetics.

Keywords

• Biotechnological process
• Exact linearization
• Pontryagin maximum principle
• Brunovsky normal form