Title: Simple mechanical control systems with constraints (33 pages)
Author(s): Andrew D. Lewis
Detail: IEEE Transactions on Automatic Control 45(8), pages 1420-1436, 2000 (IEEE copyright)
Journal version: Download

Original manuscript: 1998/03/01
Manuscript last revised: 1999/03/02

We apply some recently developed control theoretic techniques to the analysis of a class of mechanical systems with constraints. Certain simple aspects of the theory of affine connections play an important part in our presentation. The necessary background is presented in order to illustrate how the methods may be applied. The bulk of the paper is devoted to a detailed analysis of some examples of nonholonomic mechanical control systems. We look at the Heisenberg system, the upright rolling penny, the roller racer, and the snakeboard.

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Last Updated: Fri Jul 10 07:02:42 2020

Andrew D. Lewis (andrew at mast.queensu.ca)