Hostname: page-component-74656f9884-8r8nv Total loading time: 0 Render date: 2026-11-09T23:25:14.720Z Has data issue: false hasContentIssue false

Noncollocated passivity-based PD control of a single-link flexible manipulator

Published online by Cambridge University Press:  19 February 2003

Liang-Yih Liu
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan (R.O.C.)
King Yuan
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan (R.O.C.)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

The passivity property of a noncollocated single-link flexible manipulator with a parameterized output is studied. The system can be characterized by either the irrational transfer function of an infinite-dimensional model or its truncated rational transfer functions. Necessary and sufficient conditions for these transfer functions to be passive are found. It is also shown that a non-passive, marginal minimum-phase, truncated transfer function can be rendered passive by using either the root strain feedback or the joint angular acceleration feedback. For the noncollocated truncated passive transfer function, a PD controller suffices to stabilize the overall system. Numerical results are given to show the efficacy of the proposed approaches.

Information

Type
Research Article
Copyright
© 2003 Cambridge University Press