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On Complementary Root Locus of Biproper Transfer Functions
Joint Authors
Teixeira, Marcelo Carvalho Minhoto
Cardim, Rodrigo
Assunção, Edvaldo
Machado, Erica R. M. D.
Silva, Neusa A. P.
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper addresses the root locus (locus of positive gain) and the complementary root locus (locus of negative gain) of biproper transfer functions (transfer functions with the same number of poles and zeros).
It is shown that the root locus and complementary root locus of a biproper transfer function can be directly obtained from the plot of a suitable strictly proper transfer function (transfer function with more poles than zeros).
There exists a lack of sources on the complementary root locus plots.
The proposed procedure avoids the problems pointed out by Eydgahi and Ghavamzadeh, is a new method to plot complementary root locus of biproper transfer functions, and offers a better comprehension on this subject.
It also extends to biproper open-loop transfer functions, previous results about the exact plot of the complementary root locus using only the well-known root locus rules.
American Psychological Association (APA)
Teixeira, Marcelo Carvalho Minhoto& Assunção, Edvaldo& Cardim, Rodrigo& Silva, Neusa A. P.& Machado, Erica R. M. D.. 2009. On Complementary Root Locus of Biproper Transfer Functions. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-493873
Modern Language Association (MLA)
Teixeira, Marcelo Carvalho Minhoto…[et al.]. On Complementary Root Locus of Biproper Transfer Functions. Mathematical Problems in Engineering No. 2009 (2009), pp.1-14.
https://search.emarefa.net/detail/BIM-493873
American Medical Association (AMA)
Teixeira, Marcelo Carvalho Minhoto& Assunção, Edvaldo& Cardim, Rodrigo& Silva, Neusa A. P.& Machado, Erica R. M. D.. On Complementary Root Locus of Biproper Transfer Functions. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-493873
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493873