HOPF Bifurcations in Path Control of Marine Vehicles

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... .Hopf bifurcation, Supercritical, Subcritical, Center manifold theorem, Limit cycle, Periodic solutions, Marine vehicle control

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA268818

Entities

People

  • Zeki O. Oral

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Classification
  • Control Systems
  • Differential Equations
  • Dynamic Response
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of Motion
  • Integrals
  • Marine Engineering
  • Mathematical Analysis
  • Mechanical Engineering
  • Naval Architecture
  • New York
  • Resonant Frequency
  • Schools
  • Underwater Vehicles

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.