Sliding-mode Control of Phase Shift for Two-Rotor Vibration Setup

Abstract

This paper focuses on the development and study of a phase shift control system for a two-rotor vibration mechatronic setup, with the objective of maintaining the desired revolving speed of the rotors. The sliding mode motion is achieved through the use of a relay controller in the phase loop, while PI controllers are employed in the velocity control loops. Numerical study and simulations are conducted using the parameters of the Mechatronic Vibration Setup SV-2M from IPME RAS. The velocity and phase shift control laws are proposed, and the possibility of sliding mode occurrence in the phase shift loop is examined through both analytical and numerical analysis. The simulation results confirm the appearance of sliding mode motion after a finite transient time and demonstrate the dynamical properties of the closed-loop system.