A nonlinear study of the gain margin of a third order regulator system
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Authors
Dimopoulos, Ilias
Subjects
Control
Gain Margin
Stability
Bifurcation
Gain Margin
Stability
Bifurcation
Advisors
Papoulias, Folis A.
Date of Issue
1993-12
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
This thesis analyzes the dynamic response of a third order regulator system. Particular emphasis is placed upon the loss of stability of the nominal equilibrium state. The system utilized in this research models the fundamental turning dynamics of an autonomous vehicle. We make extensive use of bifurcation theory methods in analyzing the dynamics after initial loss of stability. The effective gain of the system is used as the main bifurcation parameter, since this is directly related to the gain margin for linear systems. It is shown that the nonlinear characteristics of the system may significantly affect the practical significance of its gain margin, as a measure of robustness to parameter variations, unmodeled dynamics, and external disturbances
Type
Thesis
Description
Series/Report No
Department
Electrical Engineering
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
34 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.