Title
Optimal trajectory planning for a space robot docking with a moving target via homotopy algorithms
Abstract
The mathematical formulation of optimal trajectory planning for a space robot docking with a moving target is derived. The calculus of variations is applied to the problem so that the optimal robot trajectory can be obtained directly from the target information without first planning the trajectory of the end-effector. The nonlinear two-point boundary value problem resulting from the problem formulation is solved numerically by a globally convergent homotopy algorithm. The algorithm guarantees convergence to a solution for an arbitrarily chosen initial guess. Numerical simulation for three examples demonstrates the approach. (C) 1995 John Wiley & Sons, Inc.
Year
DOI
Venue
1995
10.1002/rob.4620120803
JOURNAL OF ROBOTIC SYSTEMS
Field
DocType
Volume
Convergence (routing),Boundary value problem,Mathematical optimization,Nonlinear system,Trajectory optimization,Computer simulation,Control theory,Algorithm,Homotopy,Robot,Trajectory,Mathematics
Journal
12
Issue
ISSN
Citations 
8.0
0741-2223
3
PageRank 
References 
Authors
0.57
6
2
Name
Order
Citations
PageRank
Y. Chen18812.81
L. T. Watson230.57