Force-position exponential tracking of redundant manipulators with model-free sliding PD control

David Navarro Alarcon, V. Parra-Vega

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

A passivity-based model-free second order sliding mode controller is proposed for redundant manipulators under holonomic constraints. The closed-loop system enforces exponential tracking on the exerted contact force and the end-effector cartesian position trajectories as the primary task, while the controller reconfigures dynamically the whole kinematic chain in order to satisfy a secondary task through the redundant constrained degrees of freedom. To achieve this, the orthogonalization principle and the proposed redundancy resolution technique, are together synthesized for redundant constrained robots. This way, two pairs of orthogonal subspaces arises, the joint velocity and contact force orthogonal pair, and the end-effector velocity and null space orthogonal pair. Therefore, independent control on the end-effector cartesian position and the exerted contact force can be achieved, while proper control of the null space variables will allow to simultaneously carry out a secondary task, by locally optimizing a given cost function. Simulation results of the 7 degrees of freedom PAlO Mitsubishi robot manipulator performing tracking tasks on the cartesian, force, and null space (redundancy) subspaces are presented.
Original languageEnglish
Title of host publication2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2008
Pages62-67
Number of pages6
DOIs
Publication statusPublished - 1 Dec 2008
Externally publishedYes
Event2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2008 - Mexico City, Mexico
Duration: 12 Nov 200814 Nov 2008

Conference

Conference2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2008
CountryMexico
CityMexico City
Period12/11/0814/11/08

Keywords

  • Holonomic constraint
  • Passivity
  • Redundant manipulators
  • Sliding modes

ASJC Scopus subject areas

  • Computer Science Applications
  • Energy Engineering and Power Technology
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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