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Документ Use of analytical model for synthesis of algorithms for control of transport conveyor parameters(Khmelnytskyi national university, 2022) Pihnastyi, O. M.; Sobol, MaksymThis 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.Документ Analysis of methods for stabilization flow parameters of the production line(ТОВ "Планета-Прінт", 2021) Pihnastyi, O. M.The report discusses methods for stabilizing the flow parameters of a production line with a flow method of organizing production.Документ Methods of optimal stabilization of parameters by the production flow line(Національний технічний університет "Харківський політехнічний інститут", 2020) Pihnastyi, O. M.The report presents the main directions of research into stabilization systems for flow parameters of production lines at the macroscopic level of description. The models of the flow description of a controlled production process based on the kinetic representation of the technological process are considered.Документ Synthesis of algorithms for stabilization ofthe level of inter-operative backlogs of the production flow line(Національний технічний університет "Харківський політехнічний інститут", 2020) Pihnastyi, O. M.; Khodusov, V. D.The report discusses methods for constructing algorithms for optimal stabilization of the value of inter-operational backlogs of the production flow line.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 Using a two-level dynamic PDE model to synchronize the performance of technological equipment of a production line(Національний університет "Одеська морська академія", 2021) Pihnastyi, O. M.; Ivanovska, O. V.The problem of designing a system for optimal operational control of random deviations in the productivity of technological equipment is considered. To construct an algorithm for optimal control of the performance of technological equipment, a PDE-model of a production flow line was used. The Lyapunov functions method was used to determine the value of the optimal control of the technological equipment performance. The production line is considered by a distributed dynamic system. Equations are written for the flow parameters of the production line in small perturbations. A criterion for the quality control of the performance of technological equipment of a production flow line has been introduced. Based on this criterion, the Lyapunov function is determined for the considered production system. Taking into account the form of the Lyapunov function, control actions are obtained that correct the performance of the technological equipment. The introduced control made it possible to ensure the synchronization of the productivity of the technological equipment of the production line and the asymptotic stability of the given planned state of the flow parameters of the production line for the steady and transient operation mode.Документ Entropy method in the models industrial process control(Національний технічний інститут "Харківський політехнічний інститут", 2013) Azarenkov, N. A.; Pihnastyi, O. M.; Khodusov, V. D.For the first time, the importance of the entropy method in control theory has Dzh. Fon Neumann. Entropy approach to modeling the processes discussed in detail B. N. Petrov, I. V. Prangishvili. The entropy of the process is associated with the distribution function of process parameters on the possible states. The distribution function of the items of work is not explicitly linked to the parameters describing the state of the items of work in the technological processing.Документ Statistical theory of management manufacturing process(Національний технічний інститут "Харківський політехнічний інститут", 2013) Pihnastyi, O. M.The report formulated the theoretical basis for building a statistical model of process control. According to the concept of statistical modeling of the macro parameters of the process is determined by the state of the objects of labor. Objects of labor are distributed along the production route. It is demonstrated that a sufficiently large number of items of work appear Speciality patterns characterize the state macro parameters of the process. The nature of these laws do not depend on the behavior microparameters of an individual item of work.Документ The problem of stabilizing the productivity of the technological equipment of the production line(2021) Pihnastyi, O. M.; Ivanovska, O. V.The problem of designing a system for optimal operational control of random deviations in the productivity of technological equipment is considered. The synthesized control ensures the synchronization of the productivity of the technological equipment of the production line and asymptotic stability of the given planned state of the flow parameters of the production line for the steady and transient mode of operation.
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