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Stabilization of Time-Delay Systems With a Controlled Time-Varying Delay and Applications.
- Source :
-
IEEE Transactions on Automatic Control . Apr2005, Vol. 50 Issue 4, p493-504. 12p. - Publication Year :
- 2005
-
Abstract
- We study the stability of a linear system with a point- wise, 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 50
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 16618768
- Full Text :
- https://doi.org/10.1109/TAC.2005.844723