A novel technique for the determination of describing functions for non-linear sampled-data system elements is applied to the prediction of limit cycling conditions. A simple example is used to illustrate the method.

http://tim.sagepub.com/content/1/4/199.full.pdf

Prediction of I imit cycle conditions in non-linear sampled data systems

Prediction and Determination of Limit Cycles in Nonlinear Sampled Data Feedback Systems

A method is presented that can be used to evaluate the sinusoidal-input describing function for a class of single- and double-valued nonlinearities. The basic approach is simple and straightforward and may be applied to the determination of multiple-input describing functions. The method is applied to nonlinear devices which naturally produce a discontinuous output waveform on the application of a sinusoidal signal.

http://ieeexplore.ieee.org/iel5/5247218/5253519/05253901.pdf

C.P. Lewis

Papers

Determination of the sinusoidal and dual-input describing functions for a class of single-and double-valued nonlinearities