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DEVELOPMENT OF NONSINGULAR OPTIMIZATION ALGORITHM AND ITS APPLICATION TO CHEMICAL ENGINEERING SYSTEMS
Korean Journal of Chemical Engineering, January 1999, 16(1), 118-127(10), 10.1007/BF02699014
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Abstract
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.
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Dibiasio D, Lim HC, Weigand WA, AIChE J., 27, 284 (1981)
Douglas JM, Denn MM, Ind. Eng. Chem., 57(11), 18 (1965)
Fraser-Andrews G, J. Optimization Theo. Appl., 61(3), 377 (1989)
Goh BS, J. SIAM Control., 4, 716 (1966)
Kelley HJ, Kopp RE, Moyer AG, "Topics in Optimization," ed. Leitman G., Academic Press, New York (1966)
Ko DYC, Stevens WF, AIChE J., 17, 160 (1971)
Ko DYC, Stevens WF, AIChE J., 17, 160 (1971)
Maurer H, J. Optimization Theo. Appl., 18, 235 (1976)
Modak JM, Bonte P, Lim HC, Chem. Eng. Commun., 86, 165 (1989)
Oberle HJ, Appl. Math. Optim., 5, 297 (1979)
Pontryagin LS, Boltyanskii VG, Gamkrelidze RV, Mischenks EF, "The Mathematical Theory of Optimal Processes," Wiley, New York (1962)
Seinfeld JH, Lapidus L, Chem. Eng. Sci., 23(12), 1485 (1968)
Siebenthal CD, Aris R, Chem. Eng. Sci., 19, 729 (1964)
Soliman MA, Ray WH, Int. J. Control, 16, 261 (1972)
