Synthesis of Electromechanical Position Control System by Means of Maximum Principle

摘要

The article studies a special case of synthesis of electromechanical control system by means of Pontryagin's maximum principle. It formulates and states the following problem of synthesis of the control system: synthesising an electromechanical control system enabling direct current motor positioning in conditions close to ramp section modulus. We have also noted that the problem of this type is relevant both in construction control systems and the systems of assembling of industrial items with a help of robotic technical systems. The Pontryagin's maximum principle was determined as a method of synthesis. Then the work presents the synthesis procedure of the positioning process control law that ensures response speed optimality. In general the given results allow formulating the following as a scientific statement: using the maximum principle for the object of the direct current type at synthesising positioning algorithm in conditions of ramp load functionally dependent on drive turning angle allows to optimise the system by response speed.