J C West and J L Douce 1954 Br. J. Appl. Phys. 5 204 doi:10.1088/0508-3443/5/6/302
J C West and J L Douce
Show affiliationsA method is described for predicting the frequency response of a certain class of non-linear feedback systems of any order. The restrictions on the feedback system are: (i) only one non-linearity is present, (ii) the output of the non-linear element is a single-valued function of the input, i.e. the non-linearity is of the "simple" variety, (iii) the output of the non-linear element is independent of frequency, i.e. it does not depend on the time derivatives of the input, (iv) the non-linearity is followed by an element of the system possessing a frequency-dependent transfer function of the low-pass type such as one or more integrators. Hence most electromechanical servo-mechanisms and many other cyclic control systems come within the scope of this analysis.
The "jump" phenomenon,(4-7) or discontinuity in the gain-frequency characteristic which may arise under certain conditions of input amplitude and degree of damping, is evaluated. Some experimental work on a particular system is described and the results compared with those predicted.
84.30.Bv Circuit theory (including computer-aided circuit design and analysis)
Issue 6 (June 1954)
Received 23 March 1953
J C West and J L Douce 1954 Br. J. Appl. Phys. 5 204
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