Title
Towards constrained motion planning of mobile manipulators
Abstract
This paper addresses a constrained motion planning problem for mobile manipulators. The constraints are included into the system model by means of a sort of penalty function, and then processed in accordance with the endogenous configuration space approach. Main novelty of this paper lies in deriving a constrained Jacobian motion planning algorithm with the following features: inequality constraints are included into an extended kinematics model using a smooth approximation of the plus function, the model is then regularized against singularities, and the resulting imbalance in error equations is handled as a perturbation of an exponentially stable linear dynamic system. The operation of the constrained motion planning algorithm is illustrated by a motion planning problem of a mobile manipulator with bounds imposed on a platform variable. Performance of the algorithm is tested by computer simulations.
Year
DOI
Venue
2010
10.1109/ROBOT.2010.5509827
ICRA
Keywords
Field
DocType
Jacobian matrices,asymptotic stability,linear systems,manipulator dynamics,mobile robots,path planning,constrained Jacobian motion planning algorithm,endogenous configuration space approach,error equations,exponentially stable linear dynamic system,extended kinematics model,inequality constraints,mobile manipulators,penalty function,plus function,smooth approximation
Motion planning,Mathematical optimization,Kinematics,Linear system,Jacobian matrix and determinant,Control theory,Control engineering,Mathematics,System model,Configuration space,Mobile manipulator,Penalty method
Conference
Volume
Issue
ISSN
2010
1
1050-4729
Citations 
PageRank 
References 
1
0.41
3
Authors
2
Name
Order
Citations
PageRank
Mariusz Janiak1224.62
Krzysztof Tchon25213.93