Title
B-Spline Trajectory Planning With Curvature Constraint
Abstract
We consider a problem of trajectory planning for mobile robot in a two-dimensional plane. In particular, we develop a method for constructing trajectories with the curvature satisfying given upper bound. The trajectories are constructed as smoothing splines employing B-splines as the basis functions and are planned for road-like path with piecewise linear boundaries. Expressing the curvature in terms of the control points of B-splines, the problem is formulated as a nonlinear semi-infinite optimization problem. Constraints on velocity and acceleration can also be included. The effectiveness of the proposed method is verified by numerical experiments, first by a simple crank-like path in details and then by more complex path with sharp corners.
Year
Venue
Field
2018
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC)
B-spline,Applied mathematics,Curvature,Upper and lower bounds,Control theory,Computer science,Smoothing spline,Basis function,Optimization problem,Mobile robot,Trajectory
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Hiroyuki Kano100.34
Hiroyuki Fujioka23713.37