Title: Stabilization of time-delay systems with a controlled time-varying delay and applications
Authors: Michiels, Wim ×
Van Assche, Vincent
Niculescu, SI #
Issue Date: Apr-2005
Publisher: Institute of Electrical and Electronics Engineers
Series Title: IEEE Transactions on Automatic Control vol:50 issue:4 pages:493-504
Abstract: We study the stability of a linear system with a pointwise, time-varying delay. We assume that the delay varies around a nominal value in a deterministic way and investigate the influence of this variation on stability. More precisely we are interested in characterizing situations where the time-varying delay system is stable, whereas the system with constant delay is unstable. Our approach consists of relating the stability properties of a system with a fast varying point-wise delay with these of a time-invariant system with a distributed delay. Then we can use frequency domain methods to analyze the problem and to derive stability criteria. The results are first illustrated with two theoretical examples. Then, we study a model of a variable speed rotating cutting tool. Based on the developed theory, we thereby provide both a theoretical explanation and a quantitative analysis tool for the beneficial effect of a variation of the machine speed on enhancing stability properties, which was reported in the literature.
ISSN: 0018-9286
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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