Кафедра "Інтернет речей"

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Use of analytical model for synthesis of algorithms for control of transport conveyor parameters
(Khmelnytskyi national university, 2022) Pihnastyi, O. M.; Sobol, Maksym
This study presents a methodology for synthesizing optimal control algorithms for the flow parameters of a conveyor-type transport system with a variable transport delay. A multi-section transport conveyor is a complex dynamic system with a variable transport delay. The transport conveyor is an important element of the production system, used to synchronize technological operations and move material. The Analytical PiKh-model of the conveyor section was used as a model for designing a control system for flow parameters. The characteristic dimensionless parameters of the conveyor section are introduced and the similarity criteria for the conveyor sections are determined. The model of a conveyor section in a dimensionless form is used to develop a methodology for synthesizing algorithms for optimal control of the flow parameters of a transport conveyor section. The dependencies between the value of the input and output material flow of the section are determined, taking into account the initial distribution of the material along the conveyor section, variable transport delay, restrictions on the specific density of the material, and restrictions on the speed of the belt. The dependencies between the value of the input and output material flow for the case of a constant transport delay are analyzed. A technique for synthesizing algorithms for optimal belt speed control based on the PiKh-model of a conveyor section is presented. As a simplification, a two-stage belt speed control is considered. Particular attention is paid to the methodology for synthesizing optimal control algorithms based on the energy management methodology (TOU-Tariffs). The criteria of control quality are introduced and problems of optimal control of flow parameters of the transport system are formulated. Taking into account differential connections and restrictions on phase variables and admissible controls, which are typical for the conveyor section, the Pontryagin function and the adjoint system of equations are written. As examples demonstrating the design of optimal control, algorithms for optimal control of the flow parameters of the transport system are synthesized and analysis of optimal controls is performed.
Control of the belt speed at unbalanced loading of the conveyor
(Національний технічний університет "Дніпровська політехніка", 2019) Pihnastyi, O. M.
Purpose. Development of algorithms for controlling the speed of the conveyor belt, based on the distributed model of the transport system, containing partial differential equations Methodology. To calculate the parameters of a conveyor line with a variable speed of material motion, an instrument of mathematical physics is used. Findings. Comparative analysis of conveyor transport system models is performed. Application of partial differential equations for simulating transport systems of conveyor type, which are complex dynamic distributed systems, is substantiated. A non-dimensional model of a conveyor system in instantaneous approximation with the use of partial-derivative equations is presented. A system of characteristic equations is recorded and a solution is developed which defines the value of material flow and material density at an arbitrary point of time for the given point of the transportation route. An expression is obtained which defines the value of material delay in the transport system depending on the velocity defect law for conveyor belt movement. Transition period time is determined during which the output material flow is defined by linear density of material disposition along the transportation route. Dependences for the material linear density and material flow for the steady state condition are defined. The performance criterion of control of flow parameters of the conveyor system is recorded and a solution of the problem of optimal control of conveyor belt speed providing the relay control mode with the minimum power consumption for material movement is found. An example of control algorithm development is given. Originality. PDE-models of transport systems of conveyor type and energy-saving algorithms for controlling such systems have been improved. Practical value. The proposed method for calculating the parameters of the conveyor line, which is a dynamic distributed system, can be used to design systems for optimal control of flow parameters of transport systems of conveyor type.

Кафедра "Інтернет речей"

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