Date of Award
Doctor of Philosophy
We formulate and prove a theorem which gives a rigorous mathematical justification for the use of describing functions to predict the existence of limit cycles in a multiple nonlinear feedback system and to predict the stability properties of these limit cycles. Our approach uses the classical sinusoidal-input describing function and the theory of integral manifolds. We demonstrate the applicability of our result by means of two specific examples.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
David Arthur Hoeflin
Hoeflin, David Arthur, "Oscillations of nonlinear feedback systems which contain tightly coupled subsystems in cascade " (1984). Retrospective Theses and Dissertations. 8175.