@article{7239bf7ea4ad49fc85819172db7a9cc0,
title = "Generating self-excited oscillations via two-relay controller",
abstract = "A tool for the design of a self-excited oscillation of a desired amplitude and frequency in linear plants by means of the variable structure control is proposed. An approximate approach based on the describing function method is given, which requires that the mechanical plant should be a low-pass filter-the hypothesis that usually holds when the oscillations are relatively fast. The proposed approach is demonstrated via the controller design and experiments on the Furuta pendulum.",
keywords = "Frequency domain methods, Periodic solution, Underactuated systems, Variable structure systems",
author = "Aguilar, {Luis T.} and Igor Boiko and Leonid Fridman and Rafael Iriarte",
note = "Funding Information: Manuscript received June 16, 2008; revised October 03, 2008. Current version published February 11, 2009. This work was supported in part by the Mexican CONACyT (Consejo Nacional de Ciencia y Tecnologia) under Grant 52246, by IPN (Instituto Polit{\'e}cnico Nacional) under Grant 2008-0151, by CONACyT, under Grant 56819, by the Programa de Apoyo a Proyectos de Investigaci{\'o}n e Innovaci{\'o}n Tecnol{\'o}gica (PAPIIT) UNAM, under Grant IN111208, and by the Programa de Apoyo a Proyectos para la Innovaci{\'o}n y Mejoramiento de la En-se{\~n}anza (PAPIME) UNAM, under Grant PE100907. Recommended by Associate Editor A. Ferrara.",
year = "2009",
doi = "10.1109/TAC.2008.2009615",
language = "Ingl{\'e}s",
volume = "54",
pages = "416--420",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
number = "2",
}