Title :
Generalization of the parameter plane method
Author_Institution :
University of Belgrade and Michailo Pupin Institute, Belgrade, Yugoslavia
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
DOI :
10.1109/TAC.1966.1098230