Qualitative analysis of oscillations in nonlinear control systems: A describing function approach

We present a rigorous analysis of the stability of oscillations in a wide class of nonlinear control systems with numerator dynamics. The analysis employs the classical sinusoidual-input describing function, elementary control theory, and the theory of integral manifolds. We demonstrate, by means of...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems 1986-05, Vol.33 (5), p.562-566
Main Authors: Krenz, G., Miller, R.
Format: Article
Language:English
Subjects:
Application software
Applied sciences
Circuits
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Digital signal processing
Exact sciences and technology
Feedback
Limit-cycles
Nonlinear control systems
Nonlinear filters
Reduced order systems
Stability analysis
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Summary:We present a rigorous analysis of the stability of oscillations in a wide class of nonlinear control systems with numerator dynamics. The analysis employs the classical sinusoidual-input describing function, elementary control theory, and the theory of integral manifolds. We demonstrate, by means of specific examples, how the present results can be used to obtain detailed information concerning the behavior of solutions.
ISSN:0098-4094
1558-1276
DOI:10.1109/TCS.1986.1085943