Context. The problem of optimal control of the flow parameters of a transport system of a conveyor type in the presence of stepwise regulation of the speed of the conveyor section belt is considered. The object of the study is the analytical model of the transport conveyor, which was used as a foundation for the synthesis of optimal control algorithms for the flow parameters of the transport conveyor. The purpose of the work is to develop methods for designing systems for optimal control of the flow parameters of a transport conveyor, taking into account the transport delay with stepwise regulation of the flow parameters of the transport system. Method. An analytical model of the conveyor section has been developed, taking into account the stepwise regulation of the values of the flow parameters of the transport system. When building a model of a conveyor section to determine the dependencies between the flow parameters of the transport system, equations in partial derivatives are written. For the synthesis of algorithms for optimal control of the speed of the conveyor section belt, a control quality criterion is introduced. Using the Pontryagin maximum principle, the problem of optimal control of the flow parameters of the conveyor section is posed. For the transport system, the Hamilton function is written, which takes into account the criterion of control quality, imposed restrictions and differential relationships between the system parameters. A technique for synthesizing an algorithm for optimal control of the speed of a conveyor section belt is demonstrated. The conditions for switching the speed of the conveyor belt are determined. Results. The developed model of the conveyor section is used to synthesize an algorithm for optimal control of the flow parameters of the transport system with stepwise switching of belt speed modes. Conclusions. A technique for synthesizing algorithms for optimal control of the flow parameters of a transport system with stepwise regulation of the speed of the belt of a conveyor section has been developed. The obtained algorithms can be used to reduce the specific energy costs for material transportation at mining enterprises.
Context. The problem of optimal control of flow parameters of a conveyor-type transport system containing sections with reversible conveyors is considered. The object of the stady was an analytical model of a reversible transport conveyor for synthesizing an algorithm for optimal control of the flow parameters of a reversible transport conveyor. Objective. The goal of the work is to develop a synthesis technique for an algorithm for optimal control of the flow parameters of a reversible transport conveyor based on an analytical model of a conveyor section containing a transport delay. Method. An analytical model of a reversible conveyor has been developed for the case of a constant speed of a conveyor belt, which makes it possible to determine the values of the output flows from the reverse section with known values of material flows coming to the input of the conveyor section. To build a model of the reversible section of the conveyor, an analytical model of the section of the conveyor in partial derivatives, containing the transport delay, was used. When constructing the model, the assumption was made about the instantaneous switching of the direction of movement of the conveyor belt, and it is also assumed that the interval between switching the direction of the belt speed exceeds the values of the transport delay for the conveyor section. To synthesize an algorithm for optimal control of the reversible conveyor, a control quality criterion was introduced. The formulation of the problem of optimal control of the flow parameters of the reversible conveyor is given, based on the Pontryagin maximum principle. The Hamilton function for the controlled system is written, taking into account the criterion of the quality of control of the reversible conveyor. A technique for synthesizing an algorithm for optimal control of the material output flow of a section of a reversible conveyor is demonstrated. The conditions for switching the direction of the speed of the conveyor belt are determined. Results. The developed model of the reversible conveyor section is used to synthesize an algorithm for optimal control of the material output flow of the reversible conveyor section. Conclusions. A method for the synthesis of algorithms for optimal control of the flow parameters of a transport system with sections containing reversible conveyors has been developed. The construction of an analytical model opens up new perspectives for the design of transport conveyor control algorithms, which can be used to reduce the specific energy costs for material transportation in the mining industry.
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