Title
Lagrangian Jacobian Motion Planning: A Parametric Approach.
Abstract
This paper addresses the motion planning problem of nonholonomic robotic systems. The system's kinematics are described by a driftless control system with output. It is assumed that the control functions are represented in a parametric form, as truncated orthogonal series. A new motion planning algorithm is proposed based on the solution of a Lagrange-type optimisation problem stated in the linear approximation of the parametrised system. Performance of the algorithm is illustrated by numeric computations for a motion planning problem of the rolling ball.
Year
DOI
Venue
2017
10.1007/s10846-016-0394-4
Journal of Intelligent and Robotic Systems
Keywords
Field
DocType
Jacobian algorithm,Motion planning,Nonholonomic system,Parametrisation
Linear approximation,Motion planning,Parametric equation,Kinematics,Jacobian matrix and determinant,Control theory,Control engineering,Parametric statistics,Control system,Nonholonomic system,Mathematics
Journal
Volume
Issue
ISSN
85
3-4
0921-0296
Citations 
PageRank 
References 
1
0.48
4
Authors
2
Name
Order
Citations
PageRank
Ida Goral110.82
Krzysztof Tchon25213.93