Dynamic Optimization of Constrained Semi-Batch Processes using Pontryagin’s Minimum Principle and Parsimonious Parameterization

Abstract This paper proposes a PMP-based solution scheme with parsimonious parameterization of sensitivity-seeking arcs in order to reduce the computational complexity of constrained dynamic optimization problems. We tested our method on a binary batch distillation column and a two-phase semi-batch reactor for the hydroformylation of 1-dodecene. The performance of the proposed solution scheme is compared with the fully parameterized PMP-based and the direct simultaneous solution approaches. The results show that the alternative parameterization applied together with the PMP can reduce the computational time significantly.