Modeling and Optimal Control of a Bioprocess: An Approach for Supervision and Control

Abstract

Anaerobic digestion is a key process for converting organic waste into biogas. This thesis focuses on the AM2 model to simulate and analyze system stability, controllability, and optimal control. Initially, the problem is solved without state constraints, revealing pH violations in the solution. A pH-based state constraint is then added and incorporated into the formulation. Using Pontryagin’s Maximum Principle (PMP), the dynamic control problem is solved and validated numerically, including singular arc analysis. Results highlight efficient and constraint-compliant strategies.