Adaptive Tracking Control of Rigid-Link Flexible-Joint Robot Manipulator with Uncertainties

Abstract Joint flexibility is an important factor to consider in the robot control design if high performance is expected for the robot manipulators. In this paper, we propose an adaptive tracking control method which can deal with the kinematics uncertainty and uncertainties in both link and actuator dynamics of the rigid-link flexible-joint (RLFJ) robot system. Adaptive observers are designed to avoid acceleration measurements due to the fourth-order overall system dynamics. Convergence of both end-effector tracking errors and observing errors are proven and sufficient conditions are presented to guarantee system's asymptotic stability.

[1]  L. Sweet,et al.  Redefinition of the robot motion-control problem , 1985, IEEE Control Systems Magazine.

[2]  Chien Chern Cheah,et al.  Adaptive Jacobian tracking control of rigid-link electrically driven robots based on visual task-space information , 2006, Autom..

[3]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .

[4]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[5]  Alin Albu-Schäffer,et al.  A passivity based Cartesian impedance controller for flexible joint robots - part I: torque feedback and gravity compensation , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[6]  M. M. Bridges,et al.  Robust Control of Rigid-Link Flexible-Joint Robots with Redundant Joint Actuators , 1992, 1992 American Control Conference.

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

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

[9]  W.E. Dixon.  Adaptive regulation of amplitude limited robot manipulators with uncertain kinematics and dynamics , 2004, Proceedings of the 2004 American Control Conference.

[10]  M. M. Bridges,et al.  Robust control of rigid-link flexible-joint robots with redundant joint actuators , 1994 .

[11]  Chien Chern Cheah,et al.  Adaptive task-space regulation of rigid-link flexible-joint robots with uncertain kinematics , 2008, Autom..

[12]  S. Arimoto,et al.  Feedback control for robotic manipulator with an uncertain Jacobian matrix , 1999, J. Field Robotics.

[13]  H. Tokumaru,et al.  Inverse Dynamics of Flexible Robot Arms: Modeling and Computation for Trajectory Control , 1990 .

[14]  Chien Chern Cheah,et al.  Task-space adaptive setpoint control for robots with uncertain kinematics and actuator model , 2004 .

[15]  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).

[16]  R. V. Patel,et al.  Cartesian control of redundant flexible-joint manipulators , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[17]  Khashayar Khorasani.  Adaptive control of flexible-joint robots , 1992, IEEE Trans. Robotics Autom..

[18]  Suguru Arimoto,et al.  Control Theory of Nonlinear Mechanical Systems , 1996 .