Title :
Experimental comparison between H∞ and H2 control for a magnetic suspension system with double flexible beam
Author :
Hashimoto, Keishi ; Matsumura, Fumio ; Fujita, Masayuki
Author_Institution :
Dept. of Electr. & Comput. Eng., Kanazawa Univ., Japan
Abstract :
This paper describes experimental comparison between H∞ and H2 control for a magnetic suspension system with double flexible beam, which simplifies both an elastic rotor and body in a magnetic bearing system. At first, the magnetic suspension system is introduced. Next, its linearized model with disturbance terms as unmodeled uncertainties is formulated in a state space form. In order to deal with the uncertainties, the generalized plant is constructed from LQ differential game theoretic point of view, which involves weighting matrices for state variables and control input and frequency weighting functions for uncertainty models. Then the control systems are designed and analyzed with both H∞ and H2 control in the case of fixing a generalized plant, which are implemented by a digital controller using a digital signal processor. Finally, several experiments are carried out to compare control performance and robustness
Keywords :
differential equations; distributed parameter systems; electromagnets; game theory; large-scale systems; linearisation techniques; magnetic levitation; optimal control; rotors; state-space methods; H∞ control; H2 control; LQ differential game theory; digital controller; digital signal processor; double flexible beam; elastic rotor; magnetic bearing system; magnetic suspension system; weighting matrices; Control systems; Digital control; Frequency; Game theory; Magnetic levitation; Magnetic variables control; Signal analysis; Signal design; State-space methods; Uncertainty;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325741
