Bifurcation Control of Nonlinear Systems

Abstract

Bifurcation control is discussed in the context of the stabilization of high angle-of-attack flight dynamics. Two classes of stabilization problems for which bifurcation control is useful are discussed. In the first class, which is emphasized in this presentation, a nonlinear control system operates at an equilibrium point which persists only under very small perturbations of a parameter. Such a system will tend to exhibit a jump, or divergence, instability in the absence of appropriate control action. In the second class of systems, an instance of which arises in a tethered satellite system model [14], eigenvalues of the system linearization appear on (or near) the imaginary axis in the complex plane, regardless of the values of system parameters or admissible linear feedback gains.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1990
Accession Number
ADA444561

Entities

People

  • D. C. Liaw
  • Eyad H. Abed
  • H. C. Lee
  • J. H. Fu

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Artificial Satellites
  • Availability
  • Classification
  • Contracts
  • Control Systems
  • Dynamics
  • Eigenvalues
  • Feedback
  • High Angles
  • Information Operations
  • Instability
  • Instructions
  • Maryland
  • Nonlinear Systems
  • Physics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Educational Psychology

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers