Smoothness of a Feedback Control Law for a Non-Holonomic 3D Vehicle

In this paper the feedback control of a 3D space vehicle is considered. A simple strategy is determined on the basis of standard vector kinematics and a Lyapunov-like stability analysis. The results extend the ones already found for the planar case corresponding to a unicycle-like vehicles.

[1]  A. Astolfi.  On the stabilization of nonholonomic systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[2]  Ilya Kolmanovsky,et al.  Developments in nonholonomic control problems , 1995 .

[3]  R. W. Brockett,et al.  Asymptotic stability and feedback stabilization , 1982 .

[4]  Antonio Bicchi,et al.  Closed loop steering of unicycle like vehicles via Lyapunov techniques , 1995, IEEE Robotics Autom. Mag..