TOPOLOGICAL PROPERTY FOR COLLISION-FREE NONHOLONOMIC MOTION PLANNING - THE CASE OF SINUSOIDAL INPUTS FOR CHAINED FORM SYSTEMS

This paper deals with nonholonomic motion planning including obstacle avoidance capabilities. We show that the methods developed in absence of obstacles can be extended to the problem of obstacle avoidance, pro vided that they verify a topological property. Such steering methods a llow us to design exact and complete collision-free path planners for a large family of systems. We show that the steering method using sinu soidal inputs applied to chained form systems [1] fulfills the require d conditions, and we illustrate its integration in collision-free path planning schemes through the Tractor-Trailers example.