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Документ Control of a Conveyor Based on a Neural Network(Institute of Electrical and Electronics Engineers, Inc., USA, 2020) Pihnastyi, O. M.; Kozhevnikov, G. K.The present study is devoted to the design of the main flow parameters of a conveyor control system with a large number of sections. For the design of the control system, a neural network is used. The architecture of the neural network is justified and the rules for the formation of nodes for the input and output layers are defined. The main parameters of the model are identified and analyzed. The data set for training the neural network is formed using the analytical model of the transport system. The criterion for the quality of the transport system is written. For the given criterion for the quality of the transport system, the Pontryagin function is defined and the adjoint system of equations is given. It allows calculating optimal control of the transport system. For calculation is used additional model of the transport system with output nodes which are controls. A graphical representation of the results of the study is given.Документ On the methods of the statistical theory of control system of production lines(Національний технічний інститут "Харківський політехнічний інститут", 2015) Azarenkov, N. A.; Pihnastyi, O. M.; Khodusov, V. D.The analysis of modern methods of organization and management of production is given.Документ Conceptual positions statistical modeling of production processes. Building PDE-models(Національний технічний інститут "Харківський політехнічний інститут", 2014) Pihnastyi, O. M.; Krasovskykh, KarinaIn work formulated the concept of statistical modeling of technological processes of production and technical systems. In conformity with this concept, the state macroparameters of the technological process are determined by the state microparameters a large number of objects of labor, distributed in interoperation reserves on the technological route. It is shown that at a sufficiently large number of objects of labor located in interoperation reserves along the technological route, appear special type laws characterizing state macroparameters of the technological process. The characters of these laws do not depend on the behavior of microparameters which determine the state of an individual item of work. Although the with increasing amounts the objects of labor unimaginable increases complexity and intricacy of relations which determine the state macroparameters of the technological process, however, at that appear the peculiar laws which on no account can not be reduced to the laws of behavior of an individual element of a macroscopic system.Документ Optimal stabilization algorithm for production line flow parameters(Національний університет "Запорізька політехніка", 2020) Pihnastyi, O. M.; Khodusov, V. D.; Kazak, V. Yu.Context. A method for constructing an algorithm for stabilizing the interoperability of a production line is considered. The object of the study was a model of a multi-operational production line. Objective. The goal of the work is to develop a method for constructing an optimal algorithm for stabilizing the flow parameters of a production line, which provides asymptotic stability of the state of flow parameters for a given quality of the process. Method. A method for constructing an algorithm for stabilizing the level of interoperative backlogs of a multi-operational production line is proposed. The stabilization algorithm is based on a two-moment PDE-model of the production line, which made it possible to represent the production line in the form of a complex dynamic distributed system. This representation made it possible to define the stabilizing control in the form of a function that depends not only on time but also on the coordinates characterizing the location of technological equipment along the production line. The use of the method of Lyapunov functions made it possible to synthesize the optimal stabilizing control of the state of interoperation backlogs at technological operations of the production line, which ensures the asymptotic stability of the given unperturbed state of the flow parameters of the production line at the lowest cost of technological resources spent on the formation of the control action. The requirement for the best quality of the transition process from a disturbed state to an unperturbed state is expressed by the quality integral, which depends both on the magnitude of the disturbances that have arisen and on the magnitude of the stabilizing controls aimed at eliminating these disturbances. Results. On the basis of the developed method for constructing an algorithm for stabilizing the state of flow parameters of a production line, an algorithm for stabilizing the value of interoperation backlogs at technological operations of a production line is synthesized. Conclusions. The use of the method of Lyapunov functions in the synthesis of optimal stabilizing control of the flow parameters of the production line makes it possible to provide asymptotic damping of the arising disturbances of the flow parameters with the least cost of technological resources spent on the formation of the control action. It is shown that in the problem of stabilizing the state of interoperative backlogs, the stabilizing value of the control is proportional to the value of the arising disturbance. The proportionality coefficient is determined through the coefficients of the quality integral and the Lyapunov function. The prospect of further research is the development of a method for constructing an algorithm for stabilizing the productivity of technological operations of a production line.Документ Conveyor Model with Input and Output Accumulating Bunker(Institute of Electrical and Electronics Engineers, Inc., USA, 2020) Pihnastyi, O. M.; Kozhevnikov, G. K.; Khodusov, V. D.In this article, a model of a conveyor-type transport system with an input and output bunker is developed. The transport conveyor is presented in the form of a dynamic distributed system. It is shown that the material flow is proportional to the linear density of material distribution along the transport route. The coefficient of proportionality is the speed of the belt. When constructing the model, the assumption of the absence of oscillatory processes associated with the tension of the conveyor belt is introduced, which corresponds to the case when the function determining the speed of the belt is only a function of time. A solution is given, that determines the state of the flow parameters of the conveyor section for a given point of the transport route at an arbitrary point in time. It is shown that the state of the flow parameters for an arbitrary place in the transport route is determined by the state of the flow parameters at the input of the conveyor section, considering the transport delay. An expression is written that allows to calculate the amount of transport delay. The relationship of the transport delay value with the algorithm for controlling the conveyor belt speed is demonstrated. A system of equations for the model of a conveyor-type transport system with an input and output bunker is obtained. The behavior of the model for several characteristic cases of the functioning of the transport system is analyzed. The constructed model of the control object can be used to design highly efficient control systems for the flow parameters of the transport system with an input and an output bunker.Документ The optimal control problem for output material flow on conveyor belt with input accumulating bunker(Южно-Уральский государственный университет, 2019) Pihnastyi, O. M.; Khodusov, V. D.The article is devoted to the synthesis of optimal control of the conveyor belt with the accumulating input bunker. Much attention is given to the model of the conveyor belt with a constant speed of the belt. Simulation of the conveyor belt is carried out in the one-moment approximation using partial differential equations. The conveyor belt is represented as a distributed system. The used PDE-model of the conveyor belt allows determining the state of the flow parameters for a given technological position as a function of time. We consider the optimal control problem for flow parameters of the conveyor belt. The problem consists in ensuring the minimum deviation of the output material flow from a given target amount. The control is carried out by the material flow amount, which comes from the accumulating bunker into the conveyor belt input. In the synthesis of optimal control, we take into account the limitations on the size of the accumulating bunker, as well as on both max and min amounts of control. We construct optimal control of the material flow amount coming from the accumulating bunker. Also, we determine the conditions to switch control modes and estimate time period between the moments of the switching.