Modelling and optimal control of membrane process with partial recirculation

This study concerns modelling, time optimisation, and energy optimisation of batch ultrafiltration/diafiltration processes with partial recirculation of retentate. The process model explains the process work-flow, its complexity, and the state differential equations. The optimisation part deals with minimisation of time and minimisation of energy using two control inputs. The theory for control trajectory required in order to achieve the optimisation is developed using physical laws and process conception. The developed theory of optimisation is then supported by numerical optimisation of a literature case study.