A method for the generation of globally attractive limit cycles for nonlinear systems is presented. It consists in designing an output that, when regulated through a suitable feedback, forces a limit cycle in the zero dynamics. Conditions are then given to ensure that a globally attractive limit cycle in the zero dynamics results in a globally attractive limit cycle in the whole system. The method is illustrated on the torque control of an induction motor.
Publié le : 2004-02-04
Classification:
induction motor,
Limit cycles,
feedback linearization,
zero dynamics,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-01091542,
author = {Grognard, Fr\'ed\'eric and Canudas de Wit, Carlos},
title = {Design of orbitally stable zero dynamics for a class of nonlinear systems},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01091542}
}
Grognard, Frédéric; Canudas de Wit, Carlos. Design of orbitally stable zero dynamics for a class of nonlinear systems. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-01091542/