  We propose a hybrid feedback control scheme for the autonomous robot
navigation problem in three-dimensional environments with arbitrarily-shaped
convex obstacles. The proposed hybrid control strategy, which consists in
switching between the move-to-target mode and the obstacle-avoidance mode,
guarantees global asymptotic stability of the target location in the
obstacle-free workspace. We also provide a procedure for the implementation of
the proposed hybrid controller in a priori unknown environments and validate
its effectiveness through simulation results.
