Theoretical improvements in the stability analysis of a new class of model-free visual servoing methods

This paper concerns the stability analysis of a new class of model-free visual servoing methods. These methods are "model-free" since they are based on the estimation of the relative camera orientation between two views of an object without knowing its 3-D model. The visual servoing is decoupled by controlling the rotation of the camera separately from the rest of the system. The way the remaining degrees of freedom are controlled differentiates the methods within the class. For all the methods of the class, the robustness with respect to both camera and hand-eye calibration errors can be analytically studied. In some cases, necessary and sufficient conditions can be found not only for the local asymptotic stability but also for the global asymptotic stability. In the other cases, simple conditions on the calibration errors are sufficient to ensure the global asymptotic stability of the control law. In addition to the theoretical proof of the stability, the experimental results prove the validity of the control strategy proposed in the paper.

[1]  François Chaumette,et al.  2½D visual servoing , 1999, IEEE Trans. Robotics Autom..

[2]  François Chaumette,et al.  2 1/2 D Visual Servoing with Respect to Unknown Objects Through a New Estimation Scheme of Camera Displacement , 2000, International Journal of Computer Vision.

[3]  François Chaumette,et al.  Potential problems of stability and convergence in image-based and position-based visual servoing , 1997 .

[4]  Bruno Siciliano,et al.  Six-DOF impedance control based on angle/axis representations , 1999, IEEE Trans. Robotics Autom..

[5]  François Chaumette,et al.  Path planning in image space for robust visual servoing , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[6]  Peter I. Corke,et al.  A new partitioned approach to image-based visual servo control , 2001, IEEE Trans. Robotics Autom..

[7]  Olivier Faugeras,et al.  Motion and Structure from Motion in a piecewise Planar Environment , 1988, Int. J. Pattern Recognit. Artif. Intell..

[8]  Koichiro Deguchi,et al.  Optimal motion control for image-based visual servoing by decoupling translation and rotation , 1998, Proceedings. 1998 IEEE/RSJ International Conference on Intelligent Robots and Systems. Innovations in Theory, Practice and Applications (Cat. No.98CH36190).

[9]  Camillo J. Taylor,et al.  Robust vision-based pose control , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[10]  William J. Wilson,et al.  Relative end-effector control using Cartesian position based visual servoing , 1996, IEEE Trans. Robotics Autom..

[11]  Koichi Hashimoto,et al.  Visual Servoing: Real-Time Control of Robot Manipulators Based on Visual Sensory Feedback , 1993 .

[12]  Ehud Rivlin,et al.  Visual Homing: Surfing on the Epipoles , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

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

[14]  Suguru Arimoto,et al.  Feedback control for robotic manipulator with uncertain kinematics and dynamics , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[15]  Roberto Cipolla,et al.  Automatic segmentation and matching of planar contours for visual servoing , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[16]  Ezio Malis.  Contributions a la modelisation et a la commande en asservissement visuel , 1998 .

[17]  Rafael Kelly,et al.  Stable visual servoing of camera-in-hand robotic systems , 2000 .

[18]  Ezio Malis.  Hybrid vision-based robot control robust to large calibration errors on both intrinsic and extrinsic camera parameters , 2001, 2001 European Control Conference (ECC).

[19]  Bernard Espiau,et al.  Effect of Camera Calibration Errors on Visual Servoing in Robotics , 1993, ISER.

[20]  Claude Samson,et al.  Robot Control: The Task Function Approach , 1991 .

[21]  Peter K. Allen,et al.  Visual servoing by partitioning degrees of freedom , 2001, IEEE Trans. Robotics Autom..

[22]  Patrick Rives,et al.  A new approach to visual servoing in robotics , 1992, IEEE Trans. Robotics Autom..

[23]  Francois Chaumette,et al.  Potential problems of unstability and divergence in image-based and position-based visual servoing , 1999, 1999 European Control Conference (ECC).

[24]  Franck Plestan,et al.  Robust vision based 3D trajectory tracking using sliding mode control , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).