Optimal material flow control at the input of the main conveyor

Author(s):  O.M. Pihnastyi, Dr., associate Professor, National Technical University «Kharkov Polytechnic Institute», Kharkov, Ukraine, pihnastyi@gmail.com

V.D. Khodusov, Dr., Prof., Karazin Kharkiv National University, Kharkov, Russia, vdkhodusov@karazin.ua

Issue:  Volume 47 № 1

Rubric:  Computer simulation history

Annotation:  The article solves the problem of optimal control of the input flow of the material of the main conveyor with an accumulating bunker. The PDE-model of the production line is used to describe the main conveyor. The main conveyor is presented as a complex dynamic distributed system. The proposed algorithm for constructing optimal control of the material flow from the accumulating bunker. The algorithm allows ensuring the minimum deviation of the output cargo flow of the material from a given planned value. The optimal controls were synthesized taking into account restrictions on the size of the accumulating bunker and restrictions on the value of the control. When designing optimal controls, it is assumed that the speed of the conveyor belt of the main conveyor is constant. The dynamic of filling the accumulating bunker for various control algorithms is analyzed in detail. The options for switching points of the optimal control value are presented. The cases of optimal control are analyzed separately when the phase coordinates have no phase constraints and when the phase coordinates are in phase constraint.

Keywords:  conveyor, a subject of labour, production line, PDE-model of the production, parameters of the state of the production line, technological position, transition period, production management systems, optimal control, Pontryagin function, Lagrange function, differential constraints, accumulating bunker, distributed system.

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