The cause of kinematic instability in hybrid position/force control: contact compliance

The instability of Raibert and Craig's (1981) hybrid position/force control, sometimes called 'kinematic instability' in the literature, has been the subject of numerous research articles. Although this control was proposed for robots in contact with rigid kinematic constraints, stability analyses have either neglected the constraint or modelled it as a spring. In this paper, we prove that Raibert and Craig's hybrid control is never unstable when applied to rigid constraints. We therefore conclude that the cause of the previously reported 'kinematic instabilities' was the assumed compliance (or, in the case of some studies, absence) of the constraint.

[1]  William D. Fishert,et al.  A 2D Study Of Hybrid Position/force Control , 1992, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems.

[2]  W. Fisher,et al.  Hybrid Position/Force Control: A Correct Formulation , 1992 .

[3]  William D. Fisher,et al.  Sufficient stability condition for hybrid position/force control , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[4]  John M. Hollerbach,et al.  The Role of Dynamic Models in Cartesian Force Control of Manipulators , 1989, Int. J. Robotics Res..

[5]  John J. Craig,et al.  Hybrid position/force control of manipulators , 1981 .

[6]  Tsuneo Yoshikawa,et al.  Dynamic hybrid position/force control of robot manipulators description of hand constraints and calculation of joint driving force , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[7]  Kang Shin,et al.  Compliant control of robotic manipulators with resolved acceleration , 1985, 1985 24th IEEE Conference on Decision and Control.

[8]  John M. Hollerbach,et al.  Dynamic Stability Issues in Force Control of Manipulators , 1987, 1987 American Control Conference.

[9]  N. H. McClamroch,et al.  Feedback stabilization and tracking of constrained robots , 1988 .

[10]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[11]  Hong Zhang.  Kinematic stability of robot manipulators under force control , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[12]  Tetsuro Yabuta,et al.  Nonlinear basic stability concept of the hybrid position/force control scheme for robot manipulators , 1992, IEEE Trans. Robotics Autom..

[13]  Andrew A. Goldenberg,et al.  Stability of hybrid position/force control applied to robots with flexible joints , 1995 .

[14]  J. Salisbury,et al.  Active stiffness control of a manipulator in cartesian coordinates , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.