Abstract
A necessary and sufficient frequency domain criterion is developed for investigating the asymptotic stability of oscillations in feedback systems with frequency-dependent non-linearities. The new criterion, which utilizes the describing function theory, assumes two exponentially damped (or divergent) sideband sine wave components for the perturbation term, and invokes the Routh-Hurwitz test. It is shown that this stability criterion can replace more accurately the synchronous incremental-input describing function technique derived for dynamic-type non-linearities. Two examples are solved to demonstrate the applicability of the method presented.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
