Optimal Control in Bioprocesses

Pontryagin’s Maximum Principle in Practice

Volume 3 – Chemostat and Bioprocesses SET Coordinated by Claude Lobry

Optimal Control in Bioprocesses

Jérôme Harmand, INRA, Narbonne, France
Claude Lobry, University of Bordeaux and University of Nice, France
Alain Rapaport, INRA, Montpellier, France
Tewfik Sari, National Research Institute of Science and Technology for Environment and Agriculture, Montpellier, France

ISBN : 9781786300454

Publication Date : February 2019

Hardcover 258 pp

145.00 USD



Optimal control is a branch of applied mathematics that engineers need in order to optimize the operation of systems and production processes. Its application to concrete examples is often considered to be difficult because it requires a large investment to master its subtleties.

The purpose of Optimal Control in Bioprocesses is to provide a pedagogical perspective on the foundations of the theory and to support the reader in its application, first by using academic examples and then by using concrete examples in biotechnology. The book is thus divided into two parts, the first of which outlines the essential definitions and concepts necessary for the understanding of Pontryagin’s maximum principle – or PMP – while the second exposes applications specific to the world of bioprocesses.

This book is unique in that it focuses on the arguments and geometric interpretations of the trajectories provided by the application of PMP.


Part 1. Learning to use Pontryagin’s Maximum Principle
1. The Classical Calculus of Variations.
2. Optimal Control.
3. Applications.

Part 2. Applications in Process Engineering
4. Optimal Filling of a Batch Reactor.
5. Optimizing Biogas Production.
6. Optimization of a Membrane Bioreactor (MBR).

About the authors

Jérôme Harmand is a researcher at the LBE laboratory of INRA in Narbonne, France.

Claude Lobry is a former Professor of both the University of Bordeaux and University of Nice in France.

Alain Rapaport is a researcher at the Applied Mathematics and Informatics Department of INRA in Montpellier, France.

Tewfik Sari is Research Director at the National Research Institute of Science and Technology for Environment and Agriculture (IRSTEA) in Montpellier, France.

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