Hopf bifurcations in path control of marine vehicles
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Authors
Oral, Zeki Okan
Subjects
Hopf bifurcation
Supercritical
Subcritical
Center Manifold Theorem
Limit Cycle
Periodic Solutions
Marine Vehicle Control
Supercritical
Subcritical
Center Manifold Theorem
Limit Cycle
Periodic Solutions
Marine Vehicle Control
Advisors
Papoulias, Fotis A.
Date of Issue
1993-06
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The problem of loss of stability of marine vehicles under cross track en-or control in the presence of mathematical versus actual system mismatch is analyzed. Emphasis is placed on studying the response of the system after initial loss of stability of straight line motion. Center manifold reduction and integral averaging techniques are used in order to study the bifurcations to periodic solutions and stability of the resulting limit cycles. Numerical integrations are utilized to confirm the theoretical results and to establish regions of asymptotic stability. The methods used in this work demonstrate the significance of nonlinear terms in assessing the final response of the system..
Type
Thesis
Description
Series/Report No
Department
Mechanical Engineering
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
67 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.