Title
Matrix Normalization For Optimal Robot Design
Abstract
Good robot performance often relies upon the selection of design parameters that lead to a well conditioned Jacobian or impedance "design" matrix. In this paper, a new design matrix normalization technique is presented to cope with the problem of non-homogeneous physical units. The technique pre and post-multiplies a design matrix by diagonal scaling matrices corresponding to the range of joint and task space variables. In the case of the Jacobian, normalization leads to a practical interpretation of a robot's "Characteristic Length" as the desired ratio between maximum linear and angular force or velocity. The scale factors can also be used to set relative required strength or speed along any axes of end-point motion and/or can be treated as free design parameters to improve isotropy through asymmetric actuation. The effect of scaling on actual designs is illustrated by a number of design examples using a global search method previously developed by the authors.
Year
DOI
Venue
1998
10.1109/ROBOT.1998.677292
1998 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS 1-4
Keywords
Field
DocType
computational geometry,design optimization,isotropy,impedance,scale factors,robots,pneumatic actuators,mechanical engineering,optimal control,parallel robots
Diagonal,Parallel manipulator,Optimal control,Normalization (statistics),Jacobian matrix and determinant,Matrix (mathematics),Control theory,Control engineering,Design matrix,Scaling,Mathematics
Conference
ISSN
Citations 
PageRank 
1050-4729
18
1.69
References 
Authors
3
3
Name
Order
Citations
PageRank
Leo Stocco1328.20
S. E. Salcudean2920123.70
F. Sassani319618.49