Hopf Bifurcation Analysis for Depth Control of Submersible Vehicles

Abstract

Control of a modern submarine is a multi-dimensional problem coupling initial stability, hydrodynamic and control system response. The loss of stability at moderate to high speeds is examined using a nonlinear Hopf bifurcation analysis. Complete linear state feedback is used for demonstration purposes for depth control at level attitude and for a fixed nominal speed. Control time constant, nominal and actual speeds, metacentric height, and stern to bow plane deflection ratio are used as the main bifurcation parameters. A complete local bifurcation mapping provides a systematic method for evaluating the bounds of controllability for control system design parameters for a submarine with a given set of hydrodynamic coefficients. The submarine and its potential design modifications are then verified with a nonlinear simulation program.

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1993
Accession Number
ADA276213

Entities

People

  • Craig A. Bateman

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Coefficients
  • Control Surfaces
  • Control Systems
  • Depth
  • Depth Control
  • Differential Equations
  • Eigenvalues
  • Electrical Engineering
  • Engineering
  • Equations Of Motion
  • Mechanical Engineering
  • Metacentric Height
  • Simulations
  • Submarines
  • Underwater Vehicles
  • Vehicles

Readers

  • Control Systems Engineering.
  • Marine Hydrodynamics