Increase the accuracy of the DC motor control system with a linear-quadratic regulator

Abstract

In precision systems it is often used the principle of subordinate control, where the regulators usually used PID controllers. In a single system, a large number of them can be used, which ultimately leads to more complicated adjustment of the PID regulators, which means that the difficulty in providing the required parameters of the transient process quality increases. The solution to this problem is the use of a fundamentally different controller in the control system, namely, linear-quadratic regulator. But it has a drawback — it is a non-zero static error. In this paper, we propose one of the ways to solve this disadvantage, namely, the use of an integrator in the forward contour of the control system as an additional correcting unit made it possible to synthesize a linear-quadratic speed controller that provides high accuracy of speed control.