Abstract
Nonholonomic systems of robotics, resulting from constraints expressed in the Pfaff form, can be described as driftless systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Canny J.F., Li Z. (Eds.) (1993) Nonholonomic Motion Planning, Kluwer Acad. Publ., New York
Divelbiss A.W., Wen J.T. (1994) Nonholonomic path planning with inequality constraints, IEEE Conf. on Robotics and Automat., San Diego, 52-57.
Dul?eba I. (2006) Making controls generated by the Lie-algoebraic methods continuous, Nat. Conf. on Robotics, 53-60 (in Polish)
Dul?eba I., Khefifi W. (2006) Pre-control form of the generalized Campbell-Baker-Hausdorff-Dynkin formula for affine nonholonomic systems, Systems and Control Letters, 55(2), 146-157
Dul?eba I., Ludwików P. (2006) Local Variation Method to Determine Cheap Path for Nonholonomic Systems, CISM-IFToMM Symp., Robot Design, Dynamics, and Control, Courses and Lectures No. 487, 139-146, Springer
Laumond J.P. (1994) A Motion Planner for Nonholonomic Mobile Robots, IEEE Trans. on Rob. and Autom., 10(5), 577-593
Laumond J.P. (1998) Robot Motion Planning and Control, Lect. Notes in Control and Information Sc., No. 229, Springer Verlag
LaValle S. (2006) Planning Algorithms, Cambridge Univ. Press
Liu W. (1997) An approximation algorithm for nonholonomic systems, SIAM J. Control Optim., 35(4), 1328-1365
Nakamura Y. (1991) Advanced Robotics: Redundancy and Optimization, Addison Wesley, New York
Quinlan S., Khatib O. (1993) Elastic Bands: Connecting Path and Control, IEEE Conf. Robotics and Automat., vol. 2, Atlanta, 802-807
Sussmann H . (1993) A continuation method for nonholonomic path finding problems, IEEE Conf. Dec. Contr., San Antonio, 2718-2723
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer London
About this paper
Cite this paper
Ludwików, P., Dulȩba, I. (2007). Lie Algebraic Approach to Nonholonomic Motion Planning in Cluttered Environment. In: Kozłowski, K. (eds) Robot Motion and Control 2007. Lecture Notes in Control and Information Sciences, vol 360. Springer, London. https://doi.org/10.1007/978-1-84628-974-3_22
Download citation
DOI: https://doi.org/10.1007/978-1-84628-974-3_22
Publisher Name: Springer, London
Print ISBN: 978-1-84628-973-6
Online ISBN: 978-1-84628-974-3
eBook Packages: EngineeringEngineering (R0)