An Effective Computational Algorithm for Suboptimal Singular and/or Bang-Bang Control

component Ion Exchange in Fixed Bed Operated under Equilibirum Conditions,” Sea Water Conversion Laboratory Report No. 6 8 3 , ‘Part I, Univ. Calif., Berkeley (July, 1965). , “Multicomponent Ion Exchange in Fixed Beds-Genera1 Properties of Equilibrium Systems,” Ind. Eng. Chem. Fundamentals, 6, No. 3, 339 ( 1967). Sillen, L. G., “On Filtration Through a Sorbent Layer,” Arkio. Kemi, 2, No. 3,447 ( 1950). Tondeur, D., G. Klein, and Theodore Vermeulen, “Multicomponent Ion Exchange in Fixed Bed Operated under Equilibrium Conditions,” Sea U‘ater Conversion Laboratory Report No. 68-3, Part XI, Univ. Calif., Berkeley (July, 1965). Tondeur, D., and C. Klein, “Multicomponent Ion Exchange in Fixed Beds-Constant Separation Factor Equilibrium,” Ind. Chem. Fundamentals, 6 , No. 3,351 (1967). Walter, J., ‘5Multiple Adsorption from Solutions,” J. Chem. Physics, 13, No. 6,229 (1945). Wilson, J., “A Theory of Chromatography,” J. Am. Chem. Sac., 63,1583 ( 1940). Vermeulen, Theodore, G. Klein, and N. K. Hieater, “Adsorption and Ion Exchange,” in “Chemical Engineers’ Handbook,’’ 5d., R. H. Perry and C. H. Chilton, ed., McGrawHill, New York (1973). Manuscript received JuZg 29, 1975; revision received February 6 and accepted February 9, 1976.