Relay Feedback Analysis for Double Integral Plants

Double integral plants under relay feedback are studied. Complete results on the uniqueness of solutions, existence, and stability of the limit cycles are established using the point transformation method. Analytical expressions are also given for determining the amplitude and period of a limit cycl...

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Main Authors: Zhen Ye, Qing-Guo Wang, Chong Lin, Chang Chieh Hang, Andrey E. Barabanov
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2011/671703
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author Zhen Ye
Qing-Guo Wang
Chong Lin
Chang Chieh Hang
Andrey E. Barabanov
author_facet Zhen Ye
Qing-Guo Wang
Chong Lin
Chang Chieh Hang
Andrey E. Barabanov
author_sort Zhen Ye
collection DOAJ
description Double integral plants under relay feedback are studied. Complete results on the uniqueness of solutions, existence, and stability of the limit cycles are established using the point transformation method. Analytical expressions are also given for determining the amplitude and period of a limit cycle from the plant parameters.
format Article
id doaj-art-106bbca2f64542a0b9f2b70459dd61f8
institution Kabale University
issn 1687-5249
1687-5257
language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-106bbca2f64542a0b9f2b70459dd61f82025-02-03T06:44:39ZengWileyJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/671703671703Relay Feedback Analysis for Double Integral PlantsZhen Ye0Qing-Guo Wang1Chong Lin2Chang Chieh Hang3Andrey E. Barabanov4Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, 119260, SingaporeDepartment of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, 119260, SingaporeInstitute of Complexity Science College of Automation Engineering, Qingdao University, Qingdao 266071, ChinaDepartment of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, 119260, SingaporeFaculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskij pr. 28, Petrodvoretz, St. Petersburg 198504, RussiaDouble integral plants under relay feedback are studied. Complete results on the uniqueness of solutions, existence, and stability of the limit cycles are established using the point transformation method. Analytical expressions are also given for determining the amplitude and period of a limit cycle from the plant parameters.http://dx.doi.org/10.1155/2011/671703
spellingShingle Zhen Ye
Qing-Guo Wang
Chong Lin
Chang Chieh Hang
Andrey E. Barabanov
Relay Feedback Analysis for Double Integral Plants
Journal of Control Science and Engineering
title Relay Feedback Analysis for Double Integral Plants
title_full Relay Feedback Analysis for Double Integral Plants
title_fullStr Relay Feedback Analysis for Double Integral Plants
title_full_unstemmed Relay Feedback Analysis for Double Integral Plants
title_short Relay Feedback Analysis for Double Integral Plants
title_sort relay feedback analysis for double integral plants
url http://dx.doi.org/10.1155/2011/671703
work_keys_str_mv AT zhenye relayfeedbackanalysisfordoubleintegralplants
AT qingguowang relayfeedbackanalysisfordoubleintegralplants
AT chonglin relayfeedbackanalysisfordoubleintegralplants
AT changchiehhang relayfeedbackanalysisfordoubleintegralplants
AT andreyebarabanov relayfeedbackanalysisfordoubleintegralplants