Application of Backstepping control technique to Non-laminated active magnetic thrust bearings of one degree of freedom

Abstract

This paper proposes the backstepping technique for 1 DOF non-laminated active magnetic thrust bearings (1 pair of magnetic poles) in which
the mathematical model contains fractional order derivative components, this is the influence quantity of the eddy current. The purpose of
the problem is to control the setting value of the thrust disk to reach the desired position. First, the mathematical model of non-laminated
active magnetic thrust bearings in the form of a fractional order derivative component is introduced. To obtain the stability of the control
object, the Lyapunov function is selected to have a positive value, and the control current is chosen so that the fractional derivative of the
Lyapunov function is negative to verify the performance of the non-laminated active magnetic thrust bearings using backstepping control
technique, a simulation structure was performed on MatlabSimulink software. The results show that non-laminated active magnetic thrust
bearings stabilize the actual state variable values and reach the desired set value in a very short time.