This paper deals with the backstepping approach for the design of adaptive discontinuous time-invariant controllers for the point-stabilization of mobile robots with matched uncertainties. First of all,
we derive a control law in the disturbance-free case guaranteeing exponential convergence for a unicycle-like mobile robot. Furthermore, an adaptive version of the previous control law is proposed when
the mobile robot is subjected to input disturbances. Finally, simulation results are presented.