Frequency response functions and Bode plots for nonlinear convergent systems

Author

Pavlov, Alexey ; van de Wouw, N. ; Nijmeijer, Henk

Author_Institution

Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

3765

Lastpage

3770

Abstract

Convergent systems constitute a practically important class of nonlinear systems that extends the class of asymptotically stable LTI systems. In this paper we extend frequency response functions defined for linear systems to nonlinear convergent systems. Such nonlinear frequency response functions for convergent systems give rise to nonlinear Bode plots, which serve as a graphical tool for performance analysis of nonlinear convergent systems in the frequency domain. The results are illustrated with an example

Keywords

Bode diagrams; asymptotic stability; convergence; frequency response; frequency-domain analysis; linear matrix inequalities; linear systems; nonlinear control systems; asymptotically stable LTI systems; frequency domain; frequency response function; linear systems; nonlinear Bode plot; nonlinear convergent systems; Control systems; Electrical equipment industry; Frequency domain analysis; Frequency response; Linear systems; Nonlinear control systems; Nonlinear systems; Optical control; Performance analysis; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377669

Filename

4177218