Analysis of oscillations in systems with polynomial-type nonlinearities using describing functions

Sufficient conditions for the existence of oscillations are obtained in the case of an autonomous single-loop feedback system when the nonlinear elements belong to a class of polynomials. Both a graphical procedure and an algebraic technique are presented for use with describing function analysis, a...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1983-01, Vol.28 (1), p.31-41
Main Author: Swern, F.
Format: Article
Language:English
Subjects:
Ear
Feedback
Functional analysis
Linearity
Nonlinear control systems
Oscillators
Polynomials
Stability
Transfer functions
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Summary:Sufficient conditions for the existence of oscillations are obtained in the case of an autonomous single-loop feedback system when the nonlinear elements belong to a class of polynomials. Both a graphical procedure and an algebraic technique are presented for use with describing function analysis, and a graphical procedure is given for use with multiple input describing functions. Graphing is done in a parameter space of the solution, rather than in the complex plane.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1983.1103144