Vibration Suppression of Flywheel AMB System with Flexible Rotor Using Backstepping Control

Abstract

This paper discusses the model vibration suppression of an AMB system with flexible rotor via additional back stepping controller. The key problem in the flexible rotor system is how to obtain a precise model that the gyroscopic effect is considered and design a suitable controller based on the reduced-order model to suppress critical vibration of actual system. Firstly, the vibration modes and mode shapes are analyzed using finite element method(FEM). Secondly, the AMB flexible rotor is stabilized with a PID and the mode identification is carried for validating the FEM model. Third, the cholesky decomposition is introduced for the mode separation and a back stepping controller for the flexible model control is designed based on the reduced order model. The effectiveness of the reduced-order model and the designed back stepping controller are verified through the simulation result.