Bifurcation and Feedback in Aircraft Dynamics.

Abstract

Modern qualitative theory of differential equations originated with the work of Poincare, who essentially had arrived at the phenomenon which is presently called Hopf bifurcation. Poincare's work was later developed by Androuov and Pontryagin and Hopf. More recently, experience with the aircraft at high angles of attack shows loss of stability for some critical values of parameter (e.g., angle of attack, or the velocity). This phenomenon was interpreted by Mehra et al. as the Hopf bifurcation; this interpretation was supported by numerical study for the aircraft H model. The work of Mehra et al. led naturally to the question as to the effect of control decoupling feedback on the (undesirable) Hopf bifurcation; in particular, does such a feedback eliminate the bifurcation? Among other things, this question is answered in this report.

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Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1982
Accession Number
ADA140462

Entities

People

  • J. Baillieul
  • M. Levi
  • R. K. Mehra

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircraft Models
  • Aircrafts
  • Algebraic Geometry
  • Closed Loop Systems
  • Control Systems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Feedback
  • Flight Control Systems
  • Geometry
  • High Angles
  • Linear Systems
  • New York
  • Nonlinear Systems
  • Three Dimensional
  • Topology

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Theoretical Analysis.