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Optimal control and optimum sensitivity in problems of chemical kinetics

S. N. Koledin1, K. F. Koledina2

AnnotationThe paper considers the problem of optimal control of chemical reactions on the basis of kinetic model using indicators of economic efficiency of the process as an optimization criteria - productivity, profit and profitability. Kinetic model, built on the basis of the law of mass action is a fundamental knowledge of the chemical process. The object of the research work is the catalytic reaction of alcohols with dimethyl carbonate. As the temperature control parameters are considered and the initial value of catalyst concentrations, which for a particular reaction have restrictions on certain physico-chemical conditions. As previously unknown to the final concentrations of substances, the problem is a problem with free right end. The authors of an estimate of the sensitivity of the optimal mode to change control actions.
Keywordskinetic model, optimal control, economic evaluation, the sensitivity of the optimal solution

1Postgraduate student of Mathematical Chemistry Laboratory Institute of Petrochemistry and Catalysis of Russian Academy of Sciences; koledinsrg@gmail.com

2Researcher of Mathematical Chemistry Laboratory, Institute of Petrochemistry and Catalysis of Russian Academy of Sciences; associate professor of Computer Science and ICT Department, Ufa State Petroleum Technological University; koledinakamila@mail.ru

Citation: S. N. Koledin, K. F. Koledina, "[Optimal control and optimum sensitivity in problems of chemical kinetics]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:3 (2016) 137–144 (In Russian)