]> 2026-07-03T08:54:35+00:00 Nonholonomic Motion Planning: Steering Using Sinusoids 0 en In this paper we investigate methods for steering systems with nonholonomic constraints between arbitrary configurations. Early work by Brockett derives the optimal controls for a set of canonical systems in which the tangent space to the configuration manifold is spanned by the input vector fields and their first order Lie brackets. Using Brockett's result as motivation, we derive suboptimal trajectories for systems which are not in canonical form and consider systems in which it takes more than one level of bracketing to achieve controllability. These trajectories use sinusoids at integrally related frequencies to achieve motion at a given bracketing level. We define a class of systems which can be steered using sinusoids (chained systems) and give conditions under which a class of two-input systems can be converted into this form. Richard M. Murray and S. Shankar Sastry NoRequest 1993d <em>IEEE T. Automatic Control</em>, 38(5):700-716 ms93 Technical report 2016-05-15T06:20:57Z 2457523.7645486 Nonholonomic Motion Planning: Steering Using Sinusoids Title 102 en Title