Title
Stability of the Tracking Problem with Task-Priority Inverse Kinematics
Abstract
The multiple task-priority inverse kinematics framework using the Moore-Penrose pseudoinverse has been shown to be asymptotically stable for the regulation problem with certain conditions on the tasks. In this article we present a theorem that extends this to the tracking problem by including an additional criterion that we term fully represented in the null-space. We show the effect of this on a simulation with a snake-like robot manipulator with 30 links for 3 compatible tasks, and an example of 2 tasks that are compatible as a regulation problem but incompatible as a tracking problem. As the tracking problem is more affected by the linearization assumption, we also include an example showing that the effect of linearization can be detrimental during tracking.
Year
DOI
Venue
2018
10.1016/j.ifacol.2018.11.528
IFAC-PapersOnLine
Keywords
DocType
Volume
Inverse kinematic problem,Stability analysis,Control (closed-loop),Robot kinematics,Industrial robots,Robot arm
Conference
51
Issue
ISSN
Citations 
22
2405-8963
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Mathias Hauan Arbo112.09
Jan Tommy Gravdahl232743.60