Stability windows and unstable root-loci for linear fractional time-delay systems
Date
2011Source Title
IFAC Proceedings Volumes (IFAC-PapersOnline)
Print ISSN
1474-6670
Publisher
Elsevier
Volume
18
Issue
1
Pages
12532 - 12537
Language
English
Type
Conference PaperItem Usage Stats
156
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117
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Abstract
The main point of this paper is on the formulation of a numerical algorithm to find the location of all unstable poles, and therefore the characterization of the stability as a function of the delay, for a class of linear fractional-order neutral systems with multiple commensurate delays. We start by the asymptotic position of the chains of poles and conditions for their stability, for a small delay. When these conditions are met, we continue by means of the root continuity argument, and using a simple substitution, we can find all the locations where roots cross the imaginary axis. We can extend the method to provide the location of all unstable poles as a function of the delay. Before concluding, some examples are presented. © 2011 IFAC.
Keywords
Delay effectsFractional systems
Neutral systems
Root-locus
Asymptotic position
Commensurate delays
Delay effects
Fractional systems
Imaginary axis
Neutral systems
Numerical algorithms
Simple substitution
Time-delay systems
Algorithms
Delay control systems
Root loci
Poles
Permalink
http://hdl.handle.net/11693/28276Published Version (Please cite this version)
https://doi.org/10.3182/20110828-6-IT-1002.03086Collections
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