Stabilization strategy for unstable first order linear systems with large time-delay

This work considers the problem of stabilization of a class of unstable first order linear systems subject to a large input‐output time delay. Necessary and sufficient conditions are stated to guarantee the stability of the closed loop delayed system by means of a compensation scheme based on two st...

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Bibliographic Details
Published inAsian journal of control Vol. 14; no. 5; pp. 1171 - 1179
Main Authors Márquez-Rubio, J. F., del Muro-Cuéllar, B., Velasco-Villa, M., Álvarez-Ramírez, J.
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 01.09.2012
Wiley Subscription Services, Inc
Subjects
input time-delay
Linear systems
stabilization
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Summary:This work considers the problem of stabilization of a class of unstable first order linear systems subject to a large input‐output time delay. Necessary and sufficient conditions are stated to guarantee the stability of the closed loop delayed system by means of a compensation scheme based on two static gains and an induced delay term. The proof of the main result is derived by considering a discrete time approach that, under adequate assumptions, allows to conclude the stability condition for the continuous time case. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society
Bibliography:ArticleID:ASJC415
ark:/67375/WNG-XJ9V0QDR-H
This work was partially supported by CONACyT-México under grant 61713
istex:E14AB846ACFD2251A23072A6DD84E5F6E29B667C
This work was partially supported by CONACyT‐México under grant 61713
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.415