Force-Based Impedance Control for Cooperating Manipulators

An internal force-based impedance control scheme for cooperating manipulators is introduced which controls the motion of the objects being manipulated and the internal force on the objects. The controller enforces a relationship between the velocity of each manipulator and the internal force on the manipulated objects. Each manipulator is directly given the properties of an impedance by the controller; thus, eliminat- ing the gain limitation inherent in the structure of previously proposed schemes. The controller uses the forces sensed at the robot end effectors to compensate for the effects of the objects' dynamics and to compute the internal force using only kinematic relationships. Thus, knowledge of the objects' dynamics is not required. Stability of the system is proven using Lyapunov theory and simulation results are presented validating the proposed concepts. The effect of computational delays in digitilr control implementations is analyzed vis-&vis stability and a lower bound derived on the size of the desired manipulator inertia relative to the actual manipulator endpoint inertia. The bound is indepen- dent of the sample time.

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

[2]  Bruno Siciliano,et al.  Cooperative control schemes for multiple robot manipulator systems , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[3]  Kazuhiro Kosuge,et al.  Coordinated motion control of robot arm based on virtual internal model , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[4]  Antti J. Koivo,et al.  Reduced order model and decoupled control architecture for two manipulators holding an object , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[5]  Homayoon Kazerooni,et al.  Compliance control and unstructured modeling of cooperating robots , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[6]  Andrew A. Goldenberg,et al.  An adaptive approach to motion and force control of multiple coordinated robot arms , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[7]  Masaru Uchiyama,et al.  A symmetric hybrid position/force control scheme for the coordination of two robots , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[8]  Suguru Arimoto,et al.  Cooperative motion control of multiple robot arms or fingers , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[9]  Masaru Uchiyama,et al.  Hybrid position/Force control for coordination of a two-arm robot , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[10]  Vijay Kumar,et al.  Control of contact conditions for manipulation with multiple robotic systems , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[11]  D. E. Whitney,et al.  Historical Perspective and State of the Art in Robot Force Control , 1987 .

[12]  Robert G. Bonitz,et al.  Internal force-based impedance control for cooperating manipulators , 1996, IEEE Trans. Robotics Autom..

[13]  Neville Hogan,et al.  An analysis of contact instability in terms of passive physical equivalents , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[14]  Yann Bouffard-Vercelli,et al.  Task modeling and force control for a two-arm robot , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[15]  S. Hayati.  Hybrid position/Force control of multi-arm cooperating robots , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[16]  Keith L. Doty,et al.  A Theory of Generalized Inverses Applied to Robotics , 1993, Int. J. Robotics Res..

[17]  Yuan F. Zheng,et al.  Compliant coordination control of two moving industrial robots , 1987, 26th IEEE Conference on Decision and Control.

[18]  Neville Hogan,et al.  Stable execution of contact tasks using impedance control , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.