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

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1 Author(s)
Swern, Frederic L. ; Bendix Flight Systems Division, Teterboro, NJ, USA

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:28 ,  Issue: 1 )