Stability of nonlinear systems with complex disc and norm-bounded perturbations

Author

Impram, Serkan T. ; Munro, Neil

Author_Institution

Control Syst. Centre, Univ. of Manchester Inst. of Sci. & Technol., UK

Volume

5

fYear

2000

fDate

2000

Firstpage

3111

Abstract

The describing function (DF) method offers a useful tool to analyze control systems with separable nonlinearities. In this paper, the method is utilized together with some of the well-established robustness tools for linear systems and the fundamental concepts of circular arithmetic in order to study the stability of nonlinear systems suffering from both complex disc and norm-bounded perturbations. Numerical examples are provided to illustrate the mathematical results which are, of course, subject to the usual errors and restrictions of the DF approach

Keywords

control system analysis; nonlinear control systems; perturbation techniques; robust control; DF; circular arithmetic; complex disc; control system analysis; describing function; linear systems; nonlinear system stability; norm-bounded perturbations; robustness tools; separable nonlinearities; Arithmetic; Control systems; Feedback; Linear systems; Nonlinear systems; Polynomials; Robust stability; Robustness; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.879138

Filename

879138