Optimal control and optimum sensitivity in problems of chemical kinetics
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 137-144.

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The 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.
Keywords: kinetic model, optimal control, economic evaluation, the sensitivity of the optimal solution.
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S. N. Koledin; K. F. Koledina. Optimal control and optimum sensitivity in problems of chemical kinetics. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 137-144. http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a13/

[1] K. F. Koledina, I. M. Gubaidullin, “Kinetika i mekhanizm kataliticheskikh reaktsii gidroalyuminirovaniya olefinov alyuminiiorganicheskimi soedineniyami”, Zhurnal fizicheskoi khimii, 90:5 (2016), 671–678 | DOI

[2] S. A. Mustafina, T. A. Mikhailova, T. G. Mustafin, “Optimal parameters of the $\alpha$-methylstyrene oligomerization reaction in the presence of a zeolite catalyst”, International Journal of Chemical Sciences, 13:2 (2015), 1071–1075

[3] I. M. Gubaidullin, K. F. Koledina, S. I. Spivak, “Posledovatelno-parallelnoe opredelenie kineticheskikh parametrov”, Zhurnal Srednevolzhskogo matematicheskogo obschestva, 11:2 (2009), 14–25 | Zbl

[4] I. M. Gubaidullin, K. F. Koledina, S. I. Spivak, “Strukturnaya i parametricheskaya identifikatsiya kineticheskikh modelei khimicheskikh reaktsii s uchastiem metalloorganicheskikh soedinenii na osnove informatsionno-vychislitelnoi analiticheskoi sistemy”, Khimicheskaya promyshlennost segodnya, 2014, no. 1, 18–27

[5] I. M. Gubaidullin, K. F. Koledina, R. R. Safin, “Avtomatizirovannaya sistema strukturnoi i parametricheskoi identifikatsii kineticheskikh modelei khimicheskikh reaktsii s uchastiem metalloorganicheskikh soedinenii na osnove bazy dannykh kineticheskikh issledovanii”, Sistemy upravleniya i informatsionnye tekhnologii, 58:4 (2014), 10-16

[6] A. I. Boyarinov, V. V. Kafarov, Metody optimizatsii v khimicheskoi tekhnologii, Khimiya, M., 1975, 564 pp.

[7] K. F. Koledina, S. N. Koledin, I. M. Gubaidullin, R. R. Safin, I. V. Akhmetov, “Informatsionnaya sistema postroeniya kineticheskoi modeli kataliticheskoi reaktsii, planirovanie ekonomicheski optimalnogo khimicheskogo eksperimenta”, Sistemy upravleniya i informatsionnye tekhnologii, 61:3 (2015), 79-84

[8] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mischenko, Matematicheskoe teoriya optimalnykh protsessov, Nauka, M., 1983, 392 pp. | MR

[9] V. D. Lukin, A. V. Novoselskii, Tsiklicheskie adsorbtsionnye protsessy, Khimiya, M., 1989, 256 pp.

[10] I. M. Gubaidullin, K. F. Koledina, Yu. B. Lind, “Sovremennye tekhnologii vysokoproizvoditelnykh vychislenii pri modelirovanii detalnogo mekhanizma reaktsii kataliticheskogo gidroalyuminirovaniya olefinov”, Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Baumana, 6 (2011), 10