Feedback stabilization of a nonholonomic wheeled mobile robot

Abstract

When a nonlinear system is not stabilizable by a smooth state feedback, it is common to think of the discontinuous feedback as being the alternative. However, another possibility is to consider a smooth time-varying feedback in which the independent time index plays the role of an extra variable. This possibility is illustrated in the case of two degrees-of-freedom nonholonomic wheeled mobile robot for which the globally stabilizing smooth feedback is derived.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>