TY - JOUR
AU1 - Cormack, D. E.
AU2 - Luus, Rein
AB - To greatly simplify the two point boundary value problem encountered in optimization, the n‐dimensional state space is mapped into a scalar V‐domain by the quadratic transformation \documentclass{article}\pagestyle{empty}\begin{document}$$V = x'Qx$$\end{document} as suggested by Schlossmacher and Lapidus. When Pontryagin's maximum principle is then applied to the system in this V‐domain, the two point boundary value problem contains only a single scalar adjoint equation. A new computational form for the adjoint equation and an efficient a priori method of determining an effective Q are presented. The two point boundary value problem is solved by choosing the initial value of the adjoint variable that minimizes the performance index. A straightforward numerical minimum seeking procedure is used to locate this adjoint. Evaluation of this suboptimal procedure with respect to the optimization of a linear gas absorber, a nonlinear CSTR and a plug flow reactor shows that such a procedure yields results close to the optimal.
TI - Suboptimal control of chemical engineering systems
JF - The Canadian Journal of Chemical Engineering
DO - 10.1002/cjce.5450500314
DA - 1972-06-01
UR - https://www.deepdyve.com/lp/wiley/suboptimal-control-of-chemical-engineering-systems-0r1iB8F7ro
SP - 390
EP - 398
VL - 50
IS - 3
DP - DeepDyve
ER -