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 in:Asian journal of control 2012-09, Vol.14 (5), p.1171-1179
Main Authors: Márquez-Rubio, J. F., del Muro-Cuéllar, B., Velasco-Villa, M., Álvarez-Ramírez, J.
Format: Article
Language:English
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
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.415