Modeling and Control of Nonlinear Systems.

Abstract

We have conducted research on the modeling and control of nonlinear systems. Our efforts have been directed toward understanding the structure and control of maneuvering nonlinear systems. The prototypical maneuver is a periodic orbit. We have studied the structure of nonlinear systems in the neighborhood of a periodic orbit and discovered necessary and sufficient conditions for transverse feedback linearization of a system about a periodic orbit. In general stable maneuvering can be achieved by by providing for the stability of the transverse dynamics of the system. We have developed techniques for stabilizing the transverse dynamics of a system based on the transverse linearization. We have also developed methods for converting a stable trajectory tracking control law into a stable maneuvering control law.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1996
Accession Number
ADA308161

Entities

People

  • John E. Hauser

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • C4I
  • Space

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Colorado
  • Control
  • Control Systems
  • Dynamics
  • Engineering
  • Feedback
  • Ground Level
  • Law
  • Linear Systems
  • Lyapunov Functions
  • Maneuvers
  • Nonlinear Systems
  • Regulations
  • Trajectories
  • Transverse
  • Universities

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers