Synthesis of speed controllers by the polynomial equations method for an unstable electromechanical object

Abstract The article shows the possibility of synthesis of speed controllers by the polynomial equations method for a two-mass initially unstable object. The instability is caused by the non-linear nature of the friction load with so-called falling section. The low – order and full-order speed controllers with motor speed feedback which provide acceptable quality control indicators are synthesized. Analytical expressions for finding the parameters of the controllers are given, and computer simulations are also presented. A conclusion was made about the preference of using the low-order controller.