Accession Number:

ADA445697

Title:

Tracking and Stabilization for Control Systems on Matrix Lie Groups

Descriptive Note:

Technical research rept.

Corporate Author:

MARYLAND UNIV COLLEGE PARK DEPT OF ELECTRICAL ENGINEERING

Personal Author(s):

Report Date:

1997-01-01

Pagination or Media Count:

25.0

Abstract:

A wide range of dynamical systems from fields as diverse as mechanics, electrical networks and molecular chemistry can be modeled by invariant systems on matrix Lie groups. This paper introduces control systems on matrix Lie groups and studies open-loop tracking and feedback stabilization for these systems in the presence of nonholonomic constraints. Using the concept of approximate inversion, results for drift-free, left-invariant systems on specific matrix Lie groups are presented.

Subject Categories:

  • Electrical and Electronic Equipment
  • Operations Research
  • Target Direction, Range and Position Finding

Distribution Statement:

APPROVED FOR PUBLIC RELEASE