论文信息 - Fast Optimal Control Algorithms with Application to Chemical Engineering

Fast Optimal Control Algorithms with Application to Chemical Engineering

A comparison of two direct multiple shooting approaches for the solution of chemical optimization problems with DAE models of index one is presented. Differences are explained in terms of the underlying reduced SQP methods. The application to optimal control of a distillation column is used to illustrate the respective advantages.

[1] Andreas Griewank,et al. Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++ , 1996, TOMS.

[2] L. Collatz. The numerical treatment of differential equations , 1961 .

[3] Irene Bauer. Numerische Verfahren zur Lösung von Anfangswertaufgaben und zur Generierung von ersten und zweiten Ableitungen mit Anwendungen bei Optimierungsaufgaben in Chemie und Verfahrenstechnik , 1999 .

[4] M. Powell,et al. On the Estimation of Sparse Jacobian Matrices , 1974 .

[5] H. Bock,et al. A Multiple Shooting Algorithm for Direct Solution of Optimal Control Problems , 1984 .

[6] H. Bock. Numerical Treatment of Inverse Problems in Chemical Reaction Kinetics , 1981 .

[7] D. Gabay. Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization , 1982 .

[8] Moritz Diehl,et al. Real-Time Optimization for Large Scale Nonlinear Processes , 2001 .