Synchronizing Tracking Control for Flexible Joint Robots via Estimated State Feedback

In this paper, we propose a synchronization controller for flexible joint robots, which are interconnected in a master-slave scheme. The synchronization controller is based on feedback linearization and only requires measurements of the master and slave link positions, since the velocities and accelerations are estimated by means of model-based nonlinear observers. It is shown, using Lyapunov function based stability analysis, that the proposed synchronization controller yields local uniformly ultimately boundedness of the closed loop errors. A tuning gain procedure is presented. The results are supported by simulations in a one degree of freedom master-slave system.

[1]  W. Book Recursive Lagrangian Dynamics of Flexible Manipulator Arms , 1984 .

[2]  Charles R. Johnson Matrix theory and applications , 1990 .

[3]  Patrizio Tomei,et al.  A tracking controller for flexible joint robots using only link position feedback , 1995, IEEE Trans. Autom. Control..

[4]  Rogelio Lozano,et al.  Adaptive control of robot manipulators with flexible joints , 1992 .

[5]  Zhihua Qu Input-output robust tracking control design for flexible joint robots , 1995 .

[6]  Malcolm Good,et al.  Dynamic Models for Control System Design of Integrated Robot and Drive Systems , 1985 .

[7]  H. Nijmeijer,et al.  Robust control of robots via linear estimated state feedback , 1994, IEEE Trans. Autom. Control..

[8]  Antonio Tornambè,et al.  A nonlinear observer for elastic robots , 1988, IEEE J. Robotics Autom..

[9]  Yunhui Liu,et al.  Cooperation control of multiple manipulators with passive joints , 1999, IEEE Trans. Robotics Autom..

[10]  Mrdjan Jankovic,et al.  Observer based control for elastic joint robots , 1995, IEEE Trans. Robotics Autom..

[11]  Jun Hu,et al.  An adaptive link position tracking controller for rigid-link flexible-joint robots without velocity measurements , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[12]  H Henk Nijmeijer,et al.  Synchronization of Mechanical Systems , 2003 .

[13]  Alessandro De Luca,et al.  A general algorithm for dynamic feedback linearization of robots with elastic joints , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[14]  A. De Luca,et al.  Robots with elastic joints are linearizable via dynamic feedback , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[15]  Warren E. Dixon,et al.  Global adaptive partial state feedback tracking control of rigid-link flexible-joint robots , 2000 .

[16]  M. Spong Modeling and Control of Elastic Joint Robots , 1987 .

[17]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[18]  H. Nijmeijer,et al.  Coordination of two robot manipulators based on position measurements only , 2001 .