@inproceedings{9771028a09ec4f7bb90f7b68faddac60,
title = "Analysis of Oscillations in Homogenous Sliding Mode Controllers using the Locus of a Perturbed Relay System",
abstract = "This work investigates the use of the Locus of Perturbed Relay System (LPRS) to analyze oscillations in homogenous sliding mode controllers in the condition of absence of parasitic dynamics. The homogenous sliding mode controllers produce either finite time convergence or non-vanishing oscillations under different combinations of system and controller parameters. The undertaken LPRS analysis reveals that multiple frequency solutions exist for the systems of different relative degrees. Solutions of the nonlinear equations of the LPRS are computed numerically to determine these frequency points. Simulations are done to see the behavior of these solution frequencies, which shows that some of these are stable frequency points while others are unstable.",
keywords = "Homogenous SMC, LPRS, Phase Deficit, Self-excited Oscillations, SMC",
author = "Ahmed Rehan and Igor Boiko and Yahya Zweiri",
note = "Funding Information: The authors acknowledge the support provided by Information and Communication Technology (ICT) Fund, United Arab Emirates (grant EX2019-011), Khalifa University of Science and Technology Award No. RC1-2018-KUCARS and Project CIRA-2020-082. Publisher Copyright: {\textcopyright} 2022 IEEE.; 16th International Workshop on Variable Structure Systems, VSS 2022 ; Conference date: 11-09-2022 Through 14-09-2022",
year = "2022",
doi = "10.1109/VSS57184.2022.9902079",
language = "British English",
series = "Proceedings of IEEE International Workshop on Variable Structure Systems",
publisher = "IEEE Computer Society",
pages = "9--14",
booktitle = "2022 16th International Workshop on Variable Structure Systems, VSS 2022",
address = "United States",
}