DocumentCode
788813
Title
An analytical method for obtaining the root locus with posititve and negative gain
Author
Chang, Chi S.
Author_Institution
Air Force Institute of Technology, Wright-Patterson AFB, OH, USA
Volume
10
Issue
1
fYear
1965
fDate
1/1/1965 12:00:00 AM
Firstpage
92
Lastpage
94
Abstract
An analytical procedure for obtaining the root locus with positive and negative gain is described. Solutions of various systems consisting of rational polynomial and/or transcendental functions of 
are obtained. The root locus for a varying time constant is investigated. Accurate root locus curves can be plotted from the analytical solution. The gain or time constant is calculated for each point on the root locus. Application of the method is particularly suitable for obtaining the root locus of a characteristic equation containing a transcendental function or with a varying time constant for which the graphical method is difficult to apply.
are obtained. The root locus for a varying time constant is investigated. Accurate root locus curves can be plotted from the analytical solution. The gain or time constant is calculated for each point on the root locus. Application of the method is particularly suitable for obtaining the root locus of a characteristic equation containing a transcendental function or with a varying time constant for which the graphical method is difficult to apply.Keywords
Poles and zeros; Control systems; Integral equations; Nonlinear systems; Polynomials;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1965.1098069
Filename
1098069
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