Adaptive tracking control of a nonholonomic mobile robot

A mobile robot is one of the well-known nonholonomic systems. The integration of a kinematic controller and a torque controller for the dynamic model of a nonholonomic mobile robot has been presented (Fierro and Lewis, 1995). In this paper, an adaptive extension of the controller is proposed. If an adaptive tracking controller for the kinematic model with unknown parameters exists, an adaptive tracking controller for the dynamic model with unknown parameters can be designed by using an adaptive backstepping approach. A design example for a mobile robot with two actuated wheels is provided. In this design, a new kinematic adaptive controller is proposed, then a torque adaptive controller is derived by using the kinematic controller.

[1]  Norihiko Adachi,et al.  An Adaptive Tracking Control Approach for Nonholonomic Mobile Robot , 1999 .

[2]  Fumio Miyazaki,et al.  A stable tracking control method for a non-holonomic mobile robot , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

[3]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot: backstepping kinematics into dynamics , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[4]  Christian Laugier,et al.  Adaptive motion control of a nonholonomic vehicle , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[5]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[6]  Claude Samson,et al.  Feedback control of a nonholonomic wheeled cart in Cartesian space , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[7]  Norihiko Adachi,et al.  Adaptive Tracking Control of Nonholonomic Mobile Robots: A Backstepping Approach , 2001 .

[8]  Bor-Sen Chen,et al.  Adaptive tracking control design of nonholonomic mechanical systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[9]  Yoshihiko Nakamura,et al.  Nonholonomic motion control of an autonomous underwater vehicle , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

[10]  Koichi Osuka,et al.  A New Identification Method for Serial Manipulator Arms , 1984 .

[11]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[12]  Chun-Yi Su,et al.  Robust motion/force control of mechanical systems with classical nonholonomic constraints , 1994, IEEE Trans. Autom. Control..

[13]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[14]  Fumio Miyazaki,et al.  A stable tracking control method for an autonomous mobile robot , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[15]  Mitsuji Sampei,et al.  Path tracking control of trailer-like mobile robot , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

[16]  Vijay Kumar,et al.  Control of Mechanical Systems With Rolling Constraints , 1994, Int. J. Robotics Res..

[17]  Suguru Arimoto,et al.  Stability and robustness of PID feedback control for robot manipulators of sensory capability , 1984 .