Gradient reduction algorithm for determining control regulation: general approach and application to chemical kinetics problems

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Abstract

A gradient descent algorithm for optimal control of dynamic systems is developed taking into account the free right end of the trajectory and control constraints. A feature of the algorithm is the possibility of its generalization for various boundary conditions. The main attention is paid to the mathematical justification of the method and its application to problems of chemical kinetics. Numerical experiments are conducted confirming the efficiency of the algorithm for optimizing real chemical processes.

About the authors

S. A. Mustafina

Ufa University of Science and Technology

Author for correspondence.
Email: mustafina_sa@mail.ru

Dr. Sc., Professor

Russian Federation, Ufa, 450076

I. I. Gallyamitdinov

Ufa University of Science and Technology

Email: ishmorat@mail.ru

Graduate Student

Russian Federation, Ufa, 450076

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