Rd. Smith et al., AERODYNAMIC LOADING AND MAGNETIC BEARING CONTROLLER ROBUSTNESS USING A GAIN-SCHEDULED KALMAN FILTER, Journal of engineering for gas turbines and power, 118(4), 1996, pp. 836-842
Modeling or predicting aerodynamic loading effects on rotating equipme
nt has been a source of concern to those who wish to examine stability
or response of critical components. The rotordynamic model of the sys
tem employed for such examination assumes greater importance for activ
e hearings than for passive ones, if only because of the additional po
tential for instability introduced by the controller. For many systems
, aerodynamic loading may vary widely over the range of operation of t
he bearings, and may depend on extended system variables. Thus, potent
ial controllers for active magnetic bearings require sufficient robust
ness or adaptation to changes in critical aerodynamic loading paramete
rs, as might be embodied in cross-coupled stiffness terms for compress
or impellers. Furthermore, the presence of plant or measurement noise
provides additional sources of complication. Here, the previous develo
pment of a nonlinear controller for a hypothetical single-stage centri
fugal gas compressor is extended by comparing the compensator performa
nce using a multi-variable Luenberger observer against that of a stati
onary Kalman filter, both gain-scheduled for rotational speed. For. th
e postulated system, it was found that the slower poles of the Kalman
filter did not observably detract from controller convergence and stab
ility, while predictably smoothing our the simulated sensor noise.