Nonholonomic motion planning: steering using sinusoids

Nonholonomic Motion Planning: Steering Using Sinusoids

-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...

Guidelines in Nonholonomic Motion Planning

Nonholonomic motion planning for car-like robots

We consider the robot motion planning problem in the presence of non-integrable kinematic constraints, known as non-holonomic constraints. Car-like non-holonomic mobile robots are used for solving this problem, and several implemented planners are discussed. We claim that the randomized methods are more capable of efficiently solving many challenging, high-dimensional problems. Results with ran...

Nonholonomic Motion Planning for Mobile Manipulators

|A nonholonomic motion planner for mobile manipulators moving in cluttered environments is presented. The approach is based on a discontinous feedback law under the infuence of a special potential eld. Convergence is shown via Lyapunov's direct method. Utilizing redundancy, the methodology allows the system to perform secondary, connguration dependent, objectives such as singularity avoidance. ...

Planning spiral motion of nonholonomic space robots

A freeying space robot with a 6 DOF manipulator cannot follow an arbitrary trajectory in the 9D generalized coordinates(3 of the satellite orientation and 6 of the manipulator) with only manipulator joint control, though it was shown to be commonly controllable in the literature. In this paper, we propose a method to approximate the desired 9D path by introducing a perturbation around it. We ca...