Search for the Catalytic Process Optimal Control Using the Artificial Immune System Technique

Abstract

The paper proposes an approach to finding numerical solution to the problem of the catalytic process optimal control. It formulates in a general form the optimal control problem with the control parameter and phase restrictions. To solve the problem, the paper proposes a combined technique based on the penalty method and the artificial immune systems. The technique is applicable in the nonlinear dynamics processes and does not depend on selection of the initial approximation. Control is sought in the piecewise constant functions class. Based on this approach, numerical experiments were carried out for the alphamethylstyrene catalytic dimerization process. Mathematical model of the process occurring in the ideal mixing reactor is presented. On its basis, problems are formulated in determining the refrigerant optimal temperature regime with restrictions on the initial substance conversion and the reaction by-products yield. Optimality criterion is set as the maximum yield of the target reaction products, i.e., the linear dimers. Auxiliary functionals of the penalty method are constructed to find the solution. Computation in each problem results in finding a suboptimal temperature regime, where restrictions are met, highest yield of the target reaction products is achieved, and dynamics of the substances’ concentrations is computed

The work was carried out with the state financial support of the Ministry of Science and Higher Education of the Russian Federation (scientific code FZWU-2023-0002)

Please cite this article in English as:

Antipina E.V., Mustafina S.A., Antipin A.F. Search for the catalytic process optimal control using the artificial immune system technique. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2024, no. 4 (115), pp. 4--20 (in Russ.). EDN: WOVHZD

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