Issue
Korean Journal of Chemical Engineering,
Vol.16, No.1, 118-127, 1999
DEVELOPMENT OF NONSINGULAR OPTIMIZATION ALGORITHM AND ITS APPLICATION TO CHEMICAL ENGINEERING SYSTEMS
A nonsingular transformation algorithm which converts a singular control problem to nonsingular one was developed to calculate optimal control profiles. Several chemical engineering problems for applying a nonsingular transformation algorithm were presented and optimal profiles were calculated in this paper. The singular control algorithm and nonsingular transformation algorithm were compared. The efficiency of the transformation algorithm was displayed in this article. The switching points from bang-bang to singular control were calculated by imposed initial conditions and control variable constraints.
[References]
  1. Chen BJ, Hirt W, Lim HC, Tsao GT, Appl. Environ. Microbiology, Feb., 269, 1977
  2. Dibiasio D, Lim HC, Weigand WA, AIChE J., 27, 284, 1981
  3. Douglas JM, Denn MM, Ind. Eng. Chem., 57(11), 18, 1965
  4. Fraser-Andrews G, J. Optimization Theo. Appl., 61(3), 377, 1989
  5. Goh BS, J. SIAM Control., 4, 716, 1966
  6. Kelley HJ, Kopp RE, Moyer AG, "Topics in Optimization," ed. Leitman G., Academic Press, New York, 1966
  7. Ko DYC, Stevens WF, AIChE J., 17, 160, 1971
  8. Ko DYC, Stevens WF, AIChE J., 17, 160, 1971
  9. Maurer H, J. Optimization Theo. Appl., 18, 235, 1976
  10. Modak JM, Bonte P, Lim HC, Chem. Eng. Commun., 86, 165, 1989
  11. Oberle HJ, Appl. Math. Optim., 5, 297, 1979
  12. Pontryagin LS, Boltyanskii VG, Gamkrelidze RV, Mischenks EF, "The Mathematical Theory of Optimal Processes," Wiley, New York, 1962
  13. Seinfeld JH, Lapidus L, Chem. Eng. Sci., 23(12), 1485, 1968
  14. Siebenthal CD, Aris R, Chem. Eng. Sci., 19, 729, 1964
  15. Soliman MA, Ray WH, Int. J. Control, 16, 261, 1972