H generation of periodic motion of mechanical systems of one degree of underactuation

Yury V. Orlov, Luis T. Aguilar

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In contrast to fully actuated systems, in underactuated systems, the presence of unactuated links, whose dynamics depend on those of actuated links, does not allow one to independently control each link of such a system. A powerful analytical tool of generating a periodic motion in underactuated mechanical systems relies on the virtual constraint approach to be presented in this chapter in terms of the joint generalized coordinates. Although the configuration is generally given in Cartesian coordinates and orientation, however, using inverse kinematics, they can be transformed into joint coordinates. Coupled with the virtual constraint approach, the H generation of periodic motion is further developed and applied to a three-degree-of-freedom (3-DOF) helicopter prototype of one degree of underactuation.

Original languageEnglish
Title of host publicationSystems and Control
Subtitle of host publicationFoundations and Applications
PublisherBirkhauser
Pages169-190
Number of pages22
Edition9781493902910
DOIs
StatePublished - 2014
Externally publishedYes

Publication series

NameSystems and Control: Foundations and Applications
Number9781493902910
ISSN (Print)2324-9749
ISSN (Electronic)2324-9757

Keywords

  • H -periodic-motion generation
  • Helicopter prototype
  • Underactuated system
  • Underactuation degree
  • Virtual constraint method

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