Masters Theses

Abstract

"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.

Advisor(s)

Fannin, D. Ronald

Committee Member(s)

Bertnolli, Edward C.
Johnson, Charles A.

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1971

Pagination

viii, 94 pages

Note about bibliography

Includes bibliographical references (pages 80-81).

Rights

© 1971 Kamaleddin Yadavar Nikravesh, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Signal processingFrequency stabilityStabilityNonlinear control theory

Thesis Number

T 2573

Print OCLC #

6034298

Electronic OCLC #

874034778

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