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
Link To Document :
