Time-invariant stabilization of a unicycle-type mobile robot: theory and experiments

We develop two time-invariant control laws for a unicycle-type mobile robot. A mobile robot of this type is an example of a system with a nonholonomic constraint. Similarly to the majority of results in the literature thus far, the controllers are based on the robot's kinematic model. They do not directly address realistic factors such as motor dynamics, quantization, sensor noise or delay which may affect the robot stability and performance. We use a Khepera robot to compare the performance of these controllers in a realistic situation that includes all the previous factors.

[1]  C. C. Wit,et al.  On the Construction of Stabilizing Discontinuous Controllers for Nonholonomic Systems , 1995 .

[2]  P. Morin,et al.  Non-robustness of continuous homogeneous stabilizers for affine control systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[3]  Panagiotis Tsiotras,et al.  Stabilization and Tracking of Underactuated Axisymmetric Spacecraft with Bounded Control , 1998 .

[4]  R. Murray,et al.  Convergence Rates for Nonholonomic Systems in Power Form , 1993, 1993 American Control Conference.

[5]  R. Murray,et al.  Exponential stabilization of driftless nonlinear control systems using homogeneous feedback , 1997, IEEE Trans. Autom. Control..

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

[7]  R. Murray,et al.  Nonholonomic systems and exponential convergence: some analysis tools , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[8]  R.M. Murray,et al.  Experiments in exponential stabilization of a mobile robot towing a trailer , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[9]  Panagiotis Tsiotras Invariant manifold techniques for control of underactuated mechanical systems , 1997 .

[10]  Richard M. Murray,et al.  Nonholonomic control systems: from steering to stabilization with sinusoids , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.