DocumentCode :
3784577
Title :
Generalization of the parameter plane method
Author :
D. Siljak
Author_Institution :
University of Belgrade and Michailo Pupin Institute, Belgrade, Yugoslavia
Volume :
11
Issue :
1
fYear :
1966
Firstpage :
63
Lastpage :
70
Abstract :
This paper presents a generalization of the parameter plane method in that it considers the case when the characteristic equation coefficients are nonlinear functions of the system adjustable parameters. The generalized method is then applied to the system analysis in which the coefficients are linear functions of two parameters and their product. As a simple and rapid procedure for factoring polynomials in the parameter plane, the method is used in the design of linear continuous multivariable control systems. A non-linear system with two nonlinearities is also considered whereby the stability and existence of limit cycles are investigated.
Keywords :
"Control systems","Nonlinear equations","Nonlinear control systems","Control nonlinearities","Frequency","Polynomials","Stability analysis","Nonlinear systems","Linear systems","Limit-cycles"
Journal_Title :
IEEE Transactions on Automatic Control
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1966.1098230
Filename :
1098230
Link To Document :
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