Zenkov, Dmitry V. and Bloch, Anthony M. and Leonard, Naomi E. and Marsden, Jerrold E. (2000) Matching and stabilization of the unicycle with rider. In: Lagrangian and Hamiltonian methods for nonlinear control. IFAC Workshop Series . Pergamon , Oxford, pp. 177-178. ISBN 0-08-043658-7 http://resolver.caltech.edu/CaltechAUTHORS:20101006-112433128
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Abstract
In this paper we apply matching techniques for controlled Lagrangians to the stabilization problem of a nonholonomic system consisting of a unicycle with rider. We show how generalized matching results may be applied to the Routhian associated with this nonholonomic system.
| Item Type: | Book Section | ||||||||||||||
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| Additional Information: | © 2000 IFAC. Research partially supported by a University of Michigan Rackham Fellowship. Research partially supported by NSF grant DMS- 9803181, AFOSR grant F49620-96-1-0100, and an NSF group infrastructure grant at the University of Michigan. Research partially supported by NSF grant BES- 9502477 and ONR grant N00014-98-1-0649. | ||||||||||||||
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| Subject Keywords: | feedback stabilization; Lyapunov methods; nonlinear control | ||||||||||||||
| Record Number: | CaltechAUTHORS:20101006-112433128 | ||||||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20101006-112433128 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 20322 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||
| Deposited On: | 19 Nov 2010 19:40 | ||||||||||||||
| Last Modified: | 26 Dec 2012 12:30 |
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