Abstract
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.
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