A passivity based Cartesian impedance controller for flexible joint robots - part I: torque feedback and gravity compensation

In this paper a novel approach to the Cartesian impedance control problem for robots with flexible joints is presented. The proposed controller structure is based on simple physical considerations, which are motivating the extension of classical position feedback by an additional feedback of the joint torques. The torque feedback action can be interpreted as a scaling of the apparent motor inertia. Furthermore the problem of gravity compensation is addressed. Finally, it is shown that the closed loop system can be seen as a feedback interconnection of passive systems. Based on this passivity property a proof of asymptotic stability is presented.

[1]  P. Tomei A simple PD controller for robots with elastic joints , 1991 .

[2]  Mark W. Spong,et al.  Adaptive control of flexible-joint manipulators , 1989, IEEE Control Systems Magazine.

[3]  Alin Albu-Schäffer,et al.  A passivity based Cartesian impedance controller for flexible joint robots - part II: full state feedback, impedance design and experiments , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[4]  Alin Albu-Schäffer,et al.  On a new generation of torque controlled light-weight robots , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[5]  Alin Albu-Schäffer,et al.  A globally stable state feedback controller for flexible joint robots , 2001, Adv. Robotics.

[6]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation , 1984, 1984 American Control Conference.

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

[8]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[9]  Oussama Khatib,et al.  A unified approach for motion and force control of robot manipulators: The operational space formulation , 1987, IEEE J. Robotics Autom..

[10]  Stefano Stramigioli,et al.  Modeling and IPC Control of Interactive Mechanical Systems - A Coordinate-Free Approach , 2001 .

[11]  Petar V. Kokotovic,et al.  An integral manifold approach to the feedback control of flexible joint robots , 1987, IEEE J. Robotics Autom..

[12]  Fathi H. Ghorbel,et al.  Adaptive control of flexible-joint manipulators , 1989, IEEE Control Systems Magazine.

[13]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation: Part I—Theory , 1985 .

[14]  A. Schaft L2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences 218 , 1996 .

[15]  Alin Albu-Schäffer,et al.  Cartesian impedance control of redundant robots: recent results with the DLR-light-weight-arms , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).