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Stabilization strategy for unstable first order linear systems with large time‐delay
Author(s) -
MárquezRubio J. F.,
del MuroCuéllar B.,
VelascoVilla M.,
ÁlvarezRamírez J.
Publication year - 2012
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.415
Subject(s) - control theory (sociology) , stability (learning theory) , compensation (psychology) , term (time) , discrete time and continuous time , class (philosophy) , control (management) , order (exchange) , computer science , scheme (mathematics) , work (physics) , mathematics , engineering , economics , psychology , mathematical analysis , mechanical engineering , statistics , physics , finance , quantum mechanics , machine learning , artificial intelligence , psychoanalysis
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