Towards the supervisory control of uncertain nonholonomic systems

Abstract

This paper is concerned with control of nonholonomic systems in the presence of parametric modeling uncertainties. The specific problem considered is that of parking a wheeled mobile robot of unicycle type with unknown parameters, whose kinematics can be described by the nonholonomic integrator after an appropriate state and control coordinate transformation. We employ the techniques of supervisory control to design a hybrid feedback control law that solves this problem.