Published November 7, 2002 | Published
Book Section - Chapter Open

Flat Nonholonomic Matching

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Abstract

In this paper we extend the matching technique to a class of nonholonomic systems with symmetries. Assuming that the momentum equation defines an integrable distribution, we introduce a family of reduced systems. The method of controlled Lagrangians is then applied to these systems resulting in a smooth stabilizing controller.

Additional Information

© 2002 AACC. Research partially supported by a University of Michigan Rackham Fellowship and an NSF group infrastructure grant at the University of Michigan. Research partially supported by NSF grants DMS-9803181 and DMS-0103895, AFOSR grant F49620-96-1-0100, and an NSF group infrastructure grant at the University of Michigan. Research partially supported by AFOSR grant F49620-95-1-0419

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