A describing-function analysis, taking into account d.c. conditions, of a feedback structure containing a single asymmetrical nonlinearity representative of those occurring in solid-state and thermionic feedback amplifiers is used to calculate the closed-loop frequency response of such amplifiers. From this analysis, general conditions governing the shape of the open-loop frequency response for the avoidance of jump resonance are derived. It is shown that, when such shaping is not possible, a critical input amplitude exists below which jump resonance is absent, and a general expression for this amplitude is developed. Experimental work on a solid-state integrated-circuit amplifier having inherent jump resonance confirms the accuracy of the analysis and the conditions for jump avoidance.
[1]
L. Strauss,et al.
Wave Generation and Shaping
,
1970
.
[2]
J. J. Stoker.
Nonlinear Vibrations in Mechanical and Electrical Systems
,
1950
.
[3]
R. Paul,et al.
Fundamental analogue techniques
,
1965
.
[4]
Hubert M. James,et al.
Theory of Servomechanisms
,
1965
.
[5]
H. Takai.
Theory of automatic control
,
1966
.
[6]
J. C. West,et al.
A new linear oscillating motor
,
1962
.
[7]
S. S. Hakim.
Feedback circuit analysis
,
1966
.