Bc. Fabien, OBSERVER-BASED FEEDBACK LINEARIZING CONTROL OF AN ELECTROMAGNETIC SUSPENSION, Journal of dynamic systems, measurement, and control, 118(3), 1996, pp. 615-619
This paper develops a stabilizing observer-based feedback linearizing
controller for a single-axis electromagnetic suspension. The controlle
r uses only the measured output of the system, and is shown to be robu
st with respect to parameter uncertainty. The controller differs from
other robust feedback linearizing controllers that have appeared in re
cent literature, because it is continuous, and non-adaptive. Lyapunov'
s second method is used to prove stability and robustness of the contr
oller. The controller has a simple structure and its gains are determi
ned by solving two weakly coupled Riccati equations. Numerical simulat
ions are performed to compare a lineal feedback controller and the obs
erver-based feedback linearizing controller. Results obtained demonstr
ate that the nonlinear controller yields superior performance when com
pared with the linear feedback controller. The controller synthesis te
chnique developed in this paper is applicable to other fully feedback
linearizable systems, not just electromagnetic suspensions.