"Many nonlinear systems display self-sustained oscillations which are often undesirable. The stabilizing effect of a high frequency input signal on an oscillating system with one nonlinearity is determined by the characteristics of the nonlinear element in the system, the linear portion of the system and the amplitude of the signal. This investigation has been concerned with the effect of a triangular wave stabilizing signal on these self oscillations. The equivalent gains for several common nonlinearities are derived. The pseudo describing function introduced by Oldenburger and Boyer for sinusoidal stabilization has been extended to the triangular wave case, and it is shown that the pseudo describing function for an odd nonlinearity is real. The pseudo describing function is used in an analysis similar to describing function analysis in order to predict the existence and amplitude of the self oscillation of a triangular wave stabilized, closed loop, nonlinear system. The experimental results are in close agreement with the predictions of the theory"--Abstract, page ii.
Fannin, D. Ronald
Bertnolli, Edward C.
Johnson, Charles A.
Electrical and Computer Engineering
M.S. in Electrical Engineering
University of Missouri--Rolla
viii, 94 pages
© 1971 Kamaleddin Yadavar Nikravesh, All rights reserved.
Thesis - Open Access
Library of Congress Subject Headings
Nonlinear control theory
Print OCLC #
Electronic OCLC #
Link to Catalog Recordhttp://laurel.lso.missouri.edu/record=b1066496~S5
Nikravesh, Kamaleddin Yadavar, "Triangular signal stabilization of nonlinear systems" (1971). Masters Theses. 5510.