Title
Nonlinear control of a magnetic levitation shaft by numerical inversion of its behavioral model
Abstract
This paper deals with the stabilization of a magnetically-levitating shaft using a simple, fast, nonlinear discrete time control approach. The proposed control approach uses an approximate numerical one-step time discretization of the nonlinear plant model behavior obtained from offline simulations. Using that discretization, a control minimizing the distance between the plant output and a reference linear system is computed, leading the system to adopt its dynamical behavior. Since the prediction horizon is limited to one time-step, the execution time of the algorithm can be completely bounded. It can thus easily be implemented and used to control fast electromechanical systems. Experimental results obtained from a laboratory device show the performance and robustness of the proposed controller.
Year
DOI
Venue
2014
10.1109/ECC.2014.6862426
ECC
Keywords
Field
DocType
approximation theory,discrete time systems,magnetic levitation,nonlinear control systems,predictive control,shafts,stability,approximate numerical one-step time discretization,behavioral model,dynamical behavior,fast electromechanical systems,laboratory device,magnetic levitation shaft,nonlinear discrete time control approach,nonlinear plant model behavior,numerical inversion,offline simulations,plant output,prediction horizon,reference linear system,stabilization
Discretization,Control theory,Nonlinear system,Linear system,Nonlinear control,Control theory,Behavioral modeling,Robustness (computer science),Magnetic bearing,Engineering
Conference
Citations 
PageRank 
References 
1
0.39
8
Authors
2
Name
Order
Citations
PageRank
Stephane Bonnet151.95
De Miras, J.2296.09