Mathematical modeling and optimal motion control of horizontal spindle apparatuses of cotton pickers
Annotatsiya
Abstract The paper presents differential equations of the movement of the horizontal spindle drum compiled using the 2nd kind of Lagrange equations. The task was set on how to control a horizontal spindle drum. The task of the speed of the Pontriyagin maximum principle was set, and the requirement for optimal guidance based on quality criteria was studied. Through the formation of the Hamilton-Pontryagin function, conjugate functions were composed. These conjugate functions made it possible to obtain a solution to the control algorithm. Pontryagin boundary value questions were articulate on the basis of the formed mathematical models. Using Runge-Kutta methods in solving boundary problems, the movement figures in the subject transient operation were identified based on the predetermined criterion, and as a result, moments of inertia of inertia of rotating masses of the horizontal-spindle drum, coefficients of viscosity and elasticity of the drum shaft were determined through the given resistance forces.