Synthesis of an Optimal Control Algorithm for a Transport Conveyor with a Reversing Section

The analytical model of the conveyor reversing section for the synthesis of the optimal control algorithm of flow parameters of the transport system is researched. At a constant belt speed of the conveyor, the values of the flow parameters of the reversing section are determined according to the given values of the input flow. The model of the reversing section is based on the analytical PiKh-model with a constant transport delay. The relevance of developing an analytical model of the reversing section is caused by the practical need to build algorithms for optimal control of the flow parameters of a transport system with a variable structure of the transportation route. This model can be used to form a data set for training a neural network in a multi-section transport pipeline model. It is assumed that the belt speed is constant, the switching process is instantaneous, the interval between switching points is more than the transport delay. The optimal control problem of the flow parameters of the section is formulated. For the synthesis of optimal control, the Pontryagin maximum principle is used. According to the given quality criterion, the Hamiltonian of the system was written. The optimal control algorithm of the flow parameters for the transport system has been synthesized. The belt speed switching points have been defined. The proposed model can be used to design a control system with a changing structure of the transport route to decrease the specific transport costs in the mining industry.