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Third order oscillators with independently adjustable frequency, amplitude and transient response
Author(s) -
Owen Earle W.
Publication year - 1979
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490070208
Subject(s) - transient (computer programming) , amplitude , transient response , describing function , control theory (sociology) , limit cycle , nonlinear system , frequency response , harmonic oscillator , physics , mathematics , third order , limit (mathematics) , mathematical analysis , engineering , optics , computer science , quantum mechanics , electrical engineering , operating system , philosophy , control (management) , theology , artificial intelligence
A class of third order harmonic oscillators with frequency, amplitude and transient response controlled by three separate sets of parameters is derived. A simplified group of oscillators is described in which there are only three parameters, one which controls the frequency, another the amplitude, and the third the transient response. Each oscillator contains a single nonlinearity, which can be either of the saturation or the dead space type. The mathematical analysis is based on linearizing the nonlinearity by means of the sinusoidal describing function. The transient response is studied by considering small amplitude perturbations away from the oscillator's limit cycle. The results of analogue computer simulations are presented with emphasis on the relationship between transient response and the gain controlling it.