@inproceedings{edaf14c3851a42ab9a91b65468b51294,
title = "Asymptotic harmonic generator design via modification of Van der Pol oscillator",
abstract = "A well-known Van der Pol oscillator is modified to be introduced into the synthesis as an asymptotic harmonic generator of the periodic motion. The proposed modification possesses a limit cycle, producing a single harmonic as opposed to multi-harmonics of a standard harmonic oscillator. The parameters of the asymptotic harmonic generator are shown to specify damping, amplitude, and frequency of the limit cycle production. A model orbit stabilization approach to swing up control of a two-link pendulum robot (Pendubot) is used as a case of study. The quasihomogeneous control synthesis is utilized to design a variable structure controller that drives the actuated link of the Pendubot to a periodic reference orbit in finite time. Performance issues of the controller constructed are illustrated in an experimental study.",
keywords = "Orbital stabilization, Van der Pol equation, Variable structure control",
author = "Y. Orlov and Aguilar, {L. T.} and L. Acho and A. Ortiz",
year = "2007",
doi = "10.3182/20070829-3-ru-4912.00015",
language = "Ingl{\'e}s",
isbn = "9783902661302",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "PART 1",
pages = "90--94",
booktitle = "3rd IFAC Workshop {"}Periodic Control Systems{"}, PSYCO'2007 - Final Program and Abstracts",
address = "Austria",
edition = "PART 1",
}