Robust stabilization of nonholonomic mobile robots with uncalibrated camera parameters

This paper investigates the visual servoing robust stabilization of nonholonomic mobile robots. A novel uncertain model of these nonholonomic kinematic systems is proposed. Based on this model, a stabilizing controller is discussed by using dynamic feedback and two-step techniques. The proposed robust controller makes the mobile robot image pose and the orientation converge to the desired configuration despite the lack of depth information and the lack of precise visual parameters. The stability of the closed loop system is rigorously proved. The simulation is given to show the effectiveness of the presented controllers.

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

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

[3]  Antonio Bicchi,et al.  Closed loop smooth steering of unicycle-like vehicles , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

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

[5]  Henk Nijmeijer,et al.  Tracking Control of Mobile Robots: A Case Study in Backstepping , 1997, Autom..

[6]  Peter K. Allen,et al.  Automated tracking and grasping of a moving object with a robotic hand-eye system , 1993, IEEE Trans. Robotics Autom..

[7]  Peter I. Corke,et al.  A tutorial on visual servo control , 1996, IEEE Trans. Robotics Autom..

[8]  O. J. Sørdalen,et al.  Exponential stabilization of nonholonomic chained systems , 1995, IEEE Trans. Autom. Control..

[9]  S. Sastry,et al.  Nonholonomic motion planning: steering using sinusoids , 1993, IEEE Trans. Autom. Control..

[10]  Chaoli Wang,et al.  Visual Servoing Based Regulation of Nonholonomic Mobile Robots with Uncalibrated Monocular Camera , 2007, 2007 IEEE International Conference on Control and Automation.