A task-space formulation of passive force control

The thesis of the paper is that a passive robotic wrist, of fixed mechanical design, can be programmed to execute a wide range of force control laws of potential use in automated assembly. The authors conduct a systematic study to characterize the range of control laws (given by admittance matrices) implementable by passive programmable mechanical devices. The authors electrical network theory results to identify the admittance matrices which are attainable in the joint-space of the wrist. They then project these matrices in the task-space and compare the range of task-space matrices with a known class of matrices in an attempt to quantify the versatility of passive devices.<<ETX>>

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

[2]  J. Kenneth Salisbury,et al.  Articulated Hands , 1982 .

[3]  Josip Loncaric,et al.  Geometrical analysis of compliant mechanisms in robotics , 1985 .

[4]  I. Cederbaum,et al.  A Generalization of the 'No-Amplification' Property of Resistive Networks , 1958 .

[5]  I. Cederbaum,et al.  On Equivalence of Resistive n-Port Networks , 1965 .

[6]  Michael A. Peshkin,et al.  Programmed compliance for error corrective assembly , 1990, IEEE Trans. Robotics Autom..

[7]  R. D. Hill,et al.  On the cone of positive semidefinite matrices , 1987 .

[8]  H. Harry Asada,et al.  The dynamic RCC hand for high-speed assembly , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[9]  J. Edward Colgate,et al.  Passive Robotics: An Exploration of Mechanical Computation , 1990, 1990 American Control Conference.

[10]  Mathukumalli Vidyasagar,et al.  Passive control of a single flexible link , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[11]  Van-Duc Nguyen,et al.  Constructing Stable Grasps , 1989, Int. J. Robotics Res..

[12]  Andrew A. Goldenberg,et al.  Grasp admittance center: a concept and its implications , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[13]  Michael A. Peshkin,et al.  Synthesis and validation of nondiagonal accommodation matrices for error-corrective assembly , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[14]  Joseph Duffy,et al.  Kinestatic Control: A Novel Theory for Simultaneously Regulating Force and Displacement , 1991 .

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

[16]  Michael A. Peshkin,et al.  Admittance matrix design for force-guided assembly , 1992, IEEE Trans. Robotics Autom..

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

[18]  Charles A. Desoer,et al.  Basic Circuit Theory , 1969 .

[19]  Hideo Hanafusa,et al.  A ROBOT HAND WITH ELASTIC FINGERS AND ITS APPLICATION TO ASSEMBLY PROCESS , 1977 .

[20]  Wyatt S. Newman,et al.  Augmented impedance control: an approach to compliant control of kinematically redundant manipulators , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

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

[22]  G. P. Barker.  Theory of cones , 1981 .

[23]  J. Edward Colgate,et al.  Design of components for programmable passive impedance , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[24]  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.

[25]  Daniel E. Whitney,et al.  Quasi-Static Assembly of Compliantly Supported Rigid Parts , 1982 .

[26]  Josip Loncaric.  Elastic systems and quasistatic grasp stability , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.