Frequency Response Functions for Nonlinear Convergent Systems

Convergent systems constitute a practically important class of nonlinear systems that extends the class of asymptotically stable linear time-invariant systems. In this note, we extend frequency response functions defined for linear systems to nonlinear convergent systems. Such nonlinear frequency re...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2007-06, Vol.52 (6), p.1159-1165
Main Authors: Pavlov, A., van de Wouw, N., Nijmeijer, H.
Format: Article
Language:English
Subjects:
Applied sciences
Asymptotic properties
Automatic control
Computer science
control theory
systems
Control systems
Control theory. Systems
Convergent systems
differential inclusions
Dynamical systems
Electrical equipment industry
Exact sciences and technology
Frequency domain analysis
Frequency domains
Frequency response
Frequency response functions
Linear systems
Nonlinear control systems
Nonlinear systems
Nonlinearity
Optical control
Performance analysis
Steady-state
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Description
Summary:Convergent systems constitute a practically important class of nonlinear systems that extends the class of asymptotically stable linear time-invariant systems. In this note, 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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2007.899020