Exponential control law for a mobile robot: extension to path following

Abstract

A piecewise smooth feedback control law for path following for the kinematic model of a nonholonomic mobile robot is proposed. The resulting motion can consist of stopping and reversing phases. The desired path is supposed to be composed of straight lines and arcs of circles joined at intermediate configurations. The proposed feedback control law yields exponential convergence to configurations representing stopping phases and to the terminal configuration.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>