Abstract:
A method for calculating the optimal consumption of the resource control of perturbed dynamic systems. This method includes both normal and singular solutions. According to the method proposed the problem is subdivided into three independent tasks: 1) a consideration of the effects of perturbations on the system; 2) computation of the optimal control structure; 3) computation of the switching moments of optimal control. A consideration of the effects of perturbations on the system and transfer to a non-zero final state are reduced to the transformation of the initial and final states of the systems. The structure calculation is based on the relation between deviations in the initial conditions of the conjugate systems and deviations of the phase trajectory at the completion instant. An iterative algorithm has been developed, its characteristics being considered. The results of modeling and numerical calculations are given.
This publication is cited in the following 3 articles:
Sergey Koledin, Kamila Koledina, Irek Gubaydullin, “Multiobjective Optimization of a Metal Complex Catalytic Reaction Based on a Detailed Kinetic Model with Parallelization of Calculations”, Mathematics, 11:9 (2023), 2051
K. F. Koledina, I. M. Gubaydullin, S. N. Koledin, “Mathematical Modeling and Computational Aspects of Multi-Criteria Optimization of the Conditions of a Laboratory Catalytic Reaction”, Numer. Analys. Appl., 15:2 (2022), 104
I. M. Gubaydullin, K. F. Koledina, S. N. Koledin, “Automated System For Identification of Conditions For Homogeneous and Heterogeneous Reactions in Multiobjective Optimization Problems”, Numer. Anal. Appl., 12:2 (2019), 116–125