Study of the LQR Controller for Magnetic Flywheel Rotor System

Abstract

Gyroscopic effects in the flywheel rotor greatly influence rotor stability especially at high speed. When the pole-zero position moves to right of s-plane, the damping of the pole is getting smaller, and the stability of system is getting worse with the increasing of rotor speed when the decentralized PD control law is used only. The LQR (linear quadratic regulator) control method is used to reduce gyroscopic effect and forced vibration. The simulation results show that LQR controller have a good performance on the reduction of gyroscopic effect and vibration of magnetic flywheel rotor system.

Optimal control of reduced-order finite element models of rotor-bearing-support systems

“…Arias-Montiel and Silva-Navarro [30] investigated the use of LQR using linear actuators applied to bearings in order to control the vibration of a two-disk asymmetrical rotor system. Wen et al [31] applied LQR control method to reduce gyroscopic effect and forced vibration of magnetic flywheel rotor system. Houlston [32] proposed an extended optimal control in which the rate of change of control has been incorporated into the cost function, and compared it to conventional LQR approach.…”