Sonia Martínez
Jacobs Faculty Scholar
Professor of Mechanical and Aerospace Engineering
Jacobs Faculty Scholar
Professor of Mechanical and Aerospace Engineering
Motion planning and control are key problems in a collection of robotic applications including the design of autonomous agile vehicles and of minimalist manipulators. These problems can be accurately formalized within the language of affine connections and of geometric control theory. In this paper we overview recent results on kinematic controllability and on oscillatory controls. Furthermore, we discuss theoretical and practical open problems as well as we suggest control theoretical approaches to them.
@InBook{SM-JC-FB:04,
author = {S. Mart{\'\i}nez and J. Cort\'es and F. Bullo},
editor = {A. Bicchi and H. Christensen and D. Prattichizzo},
title = {Control Problems in Robotics},
chapter = {Motion planning and control problems for underactuated robots},
publisher = {Springer-Verlag},
year = {2003},
series = {Springer Tracts in Advanced Robotics Series},
volume = {4},
pages = {59--74}
}