An analytical approach to stability analysis of systems with two nonlinear elements

Author

Gouws, Johan ; Krüger, Johann J.

Author_Institution

Cybern. Lab., Rand Afrikaans Univ., Johannesburg, South Africa

fYear

1990

fDate

1-3 May 1990

Firstpage

1462

Abstract

Stability analysis of systems with one nonlinear element is commonly performed by making use of the describing function principle and Nyquist or Nicholas diagrams. A procedure is described whereby the analysis method is extended to systems with two nonlinear elements. The proposed procedure is verified by stability analysis of a position control system with a saturation element and a dead zone as dominant nonlinearities. The limit cycle parameters predicted with the analysis procedure correspond very well with simulation results of the system. Using the results obtained from the analysis, a linear compensator is designed in order to suppress the limit cycle

Keywords

limit cycles; nonlinear control systems; stability; analytical approach; dead zone; limit cycle parameters; limit cycle suppression; linear compensator; position control system; saturation element; simulation results; stability analysis; systems with two nonlinear elements; Africa; Analytical models; Cybernetics; Frequency; Laboratories; Limit-cycles; Nonlinear equations; Nonlinear systems; Position control; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1990., IEEE International Symposium on

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/ISCAS.1990.112408

Filename

112408