Title :
Multi-Model Robust LQ Control of an Active Magnetic Bearing
Author :
Jimenez-Lizarraga, Manuel ; Alcorta, A.
Author_Institution :
Autonomous Univ. of Nuevo Leon, San Nicolas de los Garza
Abstract :
The problem of designing a robust LQ controller for a multi-model active magnetic bearing (AMB), is tackled. The state variables are regulated. A tangent linearized model of the AMB near an equilibrium point, is considered, and a minmax optimal controller is designed for an uncertain model of the AMB with parameters in a known set. This set of parameters defines three models of the AMB, and the designed controller guarantees sufficiently "good" performance for each of the three models. The robust LQ controller is compared through simulations with the traditional finite time LQ controller and a mixed sensitivity Hinfin robust controller, for an uncertain system.
Keywords :
Hinfin control; linear quadratic control; linear systems; machine control; magnetic bearings; minimax techniques; robust control; uncertain systems; active magnetic bearing; finite time LQ controller; minmax optimal controller; mixed sensitivity Hinfin robust controller; multimodel robust LQ control; tangent linearized model; uncertain system; Control systems; Cost function; Magnetic levitation; Magnetic variables control; Minimax techniques; Optimal control; Robust control; Robustness; State-space methods; Uncertainty; Active Magnetic Bearing; Multi-Model Representation; Numerical Methods; Robust LQ controller;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282984