Abstract
This paper describes the experimental evaluation of LQ differential game theoretic interpretation of H∞ control for a magnetic suspension system with double flexible beams. It simplifies both an elastic rotor and body in a magnetic bearing system and emphasizes its vibrational problems. At first, the magnetic suspension system is introduced. Secondly, its linearized model with disturbance terms as unmodeled uncertainties is formulated in a state-space form. Then the generalized plant is constructed from LQ differential game theoretic point of view, which involves weighting matrices for state variables, control inputs and frequency weighting functions for uncertainty models. And we design and analyze the control systems by changing design parameters which correspond to weighting factors in the time domain. Finally, several experiments are carried out for comparison of transient responses with regard to control performance. We verify that transient responses can be improved by adding weight on the parameters in the generalized plant constructed in this paper.
