ADAPTIVE NONLINEAR CONTROL OF DYNAMIC MOBILE ROBOTS WITH PARAMETER UNCERTAINTIES

Abstract Research of a modular stabilizing control law for uncertain, nonholonomic mobile systems with actuators limitation has been investigated. Modular design allows the definition of a stabilizing control law for the kinematic model. The presence of uncertainties in the actuators parameters or in the vehicle dynamics has been treated both adding suitable components to the Lyapunov function and using parameters adaptation laws (e.g. adaptive control and backstepping techniques). Simulations are reported for the set point stabilization of a unicycle like vehicle showing the feasibility of the proposed approach. Torque limitations for a unicycle like vehicle has been investigated using backstepping techniques for the vehicle tracking problem. Simulations are reported.

[1]  Zhong-Ping Jiang,et al.  Saturated stabilization and tracking of a nonholonomic mobile robot , 2001 .

[2]  Weiliang Xu,et al.  Tracking control of uncertain dynamic nonholonomic system and its application to wheeled mobile robots , 2000, IEEE Trans. Robotics Autom..

[3]  Zhong-Ping Jiang,et al.  Simultaneous tracking and stabilization of mobile robots: an adaptive approach , 2004, IEEE Transactions on Automatic Control.

[4]  Antonio Pedro Aguiar,et al.  Regulation of a nonholonomic dynamic wheeled mobile robot with parametric modeling uncertainty using Lyapunov functions , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[5]  Eduardo D. Sontag,et al.  Universal formulas for CLFs with respect to Minkowski balls , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[6]  Antonio Bicchi,et al.  A Hybrid-Control Approach to the Parking Problem of a Wheeled Vehicle Using Limited View-Angle Visual Feedback , 2004, Int. J. Robotics Res..

[7]  Randal W. Beard,et al.  Trajectory tracking for unmanned air vehicles with velocity and heading rate constraints , 2004, IEEE Transactions on Control Systems Technology.

[8]  Antonio M. Pascoal,et al.  Adaptive, non-singular path-following control of dynamic wheeled robots , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).