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Extending the Root-Locus Method to Fractional-Order Systems
Joint Authors
Merrikh-Bayat, Farshad
Afshar, Mahdi
Source
Journal of Applied Mathematics
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-06-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The well-known root-locus method is developed for special subset of linear time-invariant systems known as fractional-order systems.
Transfer functions of these systems are rational functions with polynomials of rational powers of the Laplace variable s.
Such systems are defined on a Riemann surface because of their multivalued nature.
A set of rules for plotting the root loci on the first Riemann sheet is presented.
The important features of the classical root-locus method such as asymptotes, roots condition on the real axis, and breakaway points are extended to fractional case.
It is also shown that the proposed method can assess the closed-loop stability of fractional-order systems in the presence of a varying gain in the loop.
Three illustrative examples are presented to confirm the effectiveness of the proposed algorithm.
American Psychological Association (APA)
Merrikh-Bayat, Farshad& Afshar, Mahdi. 2008. Extending the Root-Locus Method to Fractional-Order Systems. Journal of Applied Mathematics،Vol. 2008, no. 2008, pp.1-13.
https://search.emarefa.net/detail/BIM-478943
Modern Language Association (MLA)
Merrikh-Bayat, Farshad& Afshar, Mahdi. Extending the Root-Locus Method to Fractional-Order Systems. Journal of Applied Mathematics No. 2008 (2008), pp.1-13.
https://search.emarefa.net/detail/BIM-478943
American Medical Association (AMA)
Merrikh-Bayat, Farshad& Afshar, Mahdi. Extending the Root-Locus Method to Fractional-Order Systems. Journal of Applied Mathematics. 2008. Vol. 2008, no. 2008, pp.1-13.
https://search.emarefa.net/detail/BIM-478943
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478943