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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),2004 Supp.GETTING EXACT INFORMATION FROM THE INVERSE JACOBIAN MATRIX OF PARALLEL AND SERIAL ROBOTS

Merlet J P

INRIA, Sophia Antipolis,
Cedex 06902, France

 

 

GETTING EXACT INFORMATION
FROM THE INVERSE JACOBIAN
MATRIX OF PARALLEL AND SERIAL
ROBOTS*

 

Abstract: The inverse Jacobian matrix of a robot contains highly useful information about the performances of the robot, for example about its accuracy and dexterity. Unfortunately these information are available only mostly through the eigenvalues of this matrix which are pose and design parameters dependent. Interval analysis based algorithms is presented that allow to extract useful information from any matrix such as minimal and maximal eigenvalues and minimal condition number.

Key words: Conditioning  Isotropy  Jacobian matrix

 


* This project is supported by the CNRS ROBEA. Selected from Proceedings of the Eleventh World Congress in Mechanism and Machines Science (IFToMM 2004). Received August 24, 2004; accepted December 20, 2004

 

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