NUMERICAL ALGORITHM FOR SOLVING THE OPTIMAL CONTROL PROBLEM WITH TERMINAL CONSTRAINTS FOR DYNAMICAL SYSTEMS
E. V. Antipina, S. I. Mustafina, A. F. Antipin, S. A. Mustafina
Bashkir State University, Ufa, Russia
Keywords: optimal control problem, terminal constraints, penalty method, genetic algorithms, reaction of obtaining phthalic anhydride
Abstract
An algorithm for solving the optimal control problem with terminal constraints is developed. An optimal control problem with terminal constraints and constraints on the control parameter is formulated. A numerical algorithm for solving the problem based on the penalty method and genetic algorithms is described. A computational experiment for the reaction of obtaining phthalic anhydride to achieve the maximum yield of the reaction product in the presence of terminal constraints is performed. The optimal temperature regime and optimal concentrations of reagents were obtained.
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