P. Terwiesch et al., SEMIBATCH PROCESS OPTIMIZATION UNDER UNCERTAINTY - THEORY AND EXPERIMENTS, Computers & chemical engineering, 22(1-2), 1998, pp. 201-213
Batch and semi-batch processes provide a flexible means of producing h
igh value-added products in the chemical, biotechnical, and pharmaceut
ical industries. Unlike continuous processes, batch processes are inhe
rently transient and typically also nonlinear, and a nonlinear dynamic
end-point optimization problem needs to be solved in order to determi
ne the optimal operating strategy. Inter-and intra-run variations and
lack of better measurement information typically only allow us to buil
d an imperfect model of the process, and the remaining uncertainties c
an be large. Nominal optimization techniques, requiring an exact proce
ss model, may thus not always be suitable for batch process optimizati
on. This contribution suggests an alternative approach in which modeli
ng and identification uncertainty are explicitly accounted for during
the process optimization. As opposed to a deterministic quantity that
is a function of only the nominal model, a probabilistic measure of su
ccess is optimized, leading to robustness of the desired objective to
uncertainties and variations. Both simulation and experimental results
are given to demonstrate the idea and the application of the proposed
approach and to highlight the benefits that can be expected from its
industrial application. (C) 1997 Elsevier Science Ltd.