Abstract
We study a chemical fractionation process in a tower. This process is described by a system of first-order partial differential equations. We obtain necessary optimality conditions for the optimal control problem in a class of smooth boundary controls with pointwise restrictions and perform numerical tests.
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References
N. D. Demidenko, V. I. Potapov, and Yu. I. Shokin, Modeling and Optimization of Systems with Distributed Parameters (Nauka, Novosibirsk, 2006) [in Russian].
A. V. Arguchintsev, Optimal Control of Hyperbolic Systems (Fizmatlit, Moscow, 2007) [in Russian].
A. V. Arguchintsev and V. P. Poplevko, “Optimal Control of Boundary Conditions of a Hyperbolic System on an Example of the Chemical Fractionation Problem,” in Proceedings of the XV Baikal Intern. School-Seminar’ Optimization Methods and Their Applications’, Listvyanka, Baikal lake, June 23–29, 2011 (RIO IDSTU SO RAN, Irkutsk, 2011), Vol. 3, pp. 36–40.
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Original Russian Text © A.V. Arguchintsev and V.P. Poplevko, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 8, pp. 53–57.
Submitted by V.A. Srochko
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Arguchintsev, A.V., Poplevko, V.P. Optimal control in chemical fractionation problem. Russ Math. 56, 44–47 (2012). https://doi.org/10.3103/S1066369X12080063
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DOI: https://doi.org/10.3103/S1066369X12080063