Repeatability of inverse kinematics algorithms for mobile manipulators

We introduce and examine the property of repeatability of inverse kinematics algorithms for mobile manipulators. Similarly to stationary manipulators, repeatability of mobile manipulators is defined by requiring that a closed path in the task space should be transformed by the inverse kinematics alg...

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Veröffentlicht in:IEEE transactions on automatic control 2002-08, Vol.47 (8), p.1376-1380
1. Verfasser: Tchon, K.
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description We introduce and examine the property of repeatability of inverse kinematics algorithms for mobile manipulators. Similarly to stationary manipulators, repeatability of mobile manipulators is defined by requiring that a closed path in the task space should be transformed by the inverse kinematics algorithm into a closed path in the configuration space. In a simply connected, singularity-free region of the task space, a necessary and sufficient condition for repeatability is derived as the integrability condition of a distribution associated with the inverse kinematics algorithm.
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subjects Algorithm design and analysis
Algorithms
Automatic control
Control systems
Cybernetics
Design optimization
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inverse kinematics
Jacobian matrices
Kinematics
Least squares methods
Manipulators
Motion control
Physics
Repeatability
Reproducibility
Robot arms
Robotics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Space stations
Sufficient conditions
Task space
title Repeatability of inverse kinematics algorithms for mobile manipulators
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