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University of Illinois at Urbana-Champaign

Adaptive control of flexible joint robot manipulators: A singular perturbation approach

Abstract

dc:description

The adaptive control of flexible joint robot manipulators using composite control is presented first. This slow/fast control strategy consists of a slow adaptive controller designed for a rigid robot together with a fast controller to damp the elastic oscillations of the joints. The mathematical details and rigorous stability proofs of this algorithm are presented. Using the composite Lyapunov theory for singularly perturbed systems, sufficient conditions for adaptive trajectory tracking a presented. A second approach based on the method of integral manifolds for singularly perturbed systems is presented next. The known parameter case is treated and stability analysis is included. The method of integral manifolds is then extended to the adaptive case. Sufficient conditions for adaptive trajectory tracking are presented for both the general case and a special class of robot manipulators. Finally experimental and simulation results are included to illustrate different aspects of the results including adaptive instability mechanisms.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mechanical Engineering
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Ghorbel, Fathi
Contributors dc:contributor
  • Spong, Mark W.

Subjects

dc:subject × 3

Rights

dc:rights
Statement dc:rights
  • Copyright 1991 Ghorbel, Fathi
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9136599
(UMI)AAI9136599
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/20295

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Ghorbel, Fathi. Adaptive control of flexible joint robot manipulators: A singular perturbation approach. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/20295