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Nonholonomic integrators
J. Cortés, S. Martínez
Nonlinearity 14 (2001), 1365-1392

Abstract

We introduce a discretization of the Lagrange-d'Alembert principle for Lagrangian systems with nonholonomic constraints, which allows us to construct numerical integrators that approximate the continuous flow. We study the geometric invariance properties of the discrete flow which provide an explanation for the good performance of the proposed method. This is tested on two examples: a nonholonomic particle with a quadratic potential and a mobile robot with fixed orientation.

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Mechanical and Aerospace Engineering, University of California, San Diego
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