Linear Quadratic Regulator Technique Used for Pole Placement for Single Axis Active Magnetic Bearing

Abstract

Nowadays, Active Magnetic Bearing (AMB) is an uncommonly prominent region of research and their applications are escalating. Regardless of the fact that AMBs are very non-linear and open loop unstable, the use of controllers impacts them to work fair and stable. In this paper, an Active Magnetic Bearing (AMB) system is mathematically modelled and formed in state-space matrix representation using the physical values of the proposed AMB model. Inherently, the open-loop AMB system is highly unstable and nonlinear. To make this system stable, in a closed loop, Linear Quadratic Regulator (LQR) technique is implemented. Initial condition responses and step responses for state variables are described along with root locus plot of the closed loop poles. Further, Linear Quadratic Regulator controlled AMB system is observed for stability and the transient response parameters are obtained.KeywordsActive magnetic bearingAMBLinear quadratic regulatorLQR controllerState-space model