Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-20T02:05:16.960Z Has data issue: false hasContentIssue false

Effect of joint stiffness on the dynamic stability of a one-link force-controlled manipulator

Published online by Cambridge University Press:  09 March 2009

Bing C. Chiou
Affiliation:
Department of Mechanical Engineering, University of New Mexico Albuquerque, NM 87131 (USA)
M. Shahinpoor
Affiliation:
Department of Mechanical Engineering, University of New Mexico Albuquerque, NM 87131 (USA)

Summary

Studies are the effects of joint flexibility on the dynamic stability of a one-link force-controlled manipulator. The closed-loop dynamic equation with the explicit force controller and the damping force controller are first derived. Stability analysis is then carried out by computing the system eigenvalues. Results indicate a conditionally stable system. Due to the presence of discontinuous contacts with the environment during the interaction process, the system exhibits a stable limit cycle when the force feedback gain goes beyond the critical value.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Whitney, D.E., “Historical Perspective and State of the Art in Robot Force ControlProceedings of International Conference on Robotics and Automation, IEEE, 262268 (03 1985).Google Scholar
2.Starr, G.P., “Edge-Following with a PUMA 560 Manipulator Using VAL-IIProceedings of International Conference on Robotics and Automation, IEEE,379383 (04 1986).Google Scholar
3.Paul, R.P., “Problems and Research Issues Associated with the Hybrid Control of Force and DisplacementProceedings of International Conference on Robotics and Automation, IEEE, 19661971 (03 1987).Google Scholar
4.Shahinpoor, M., A Robot Engineering Textbook (Harper and Row Publishers, New York, London, 1987).Google Scholar
5.Chiou, B.C. and Shahinpoor, M., “Dynamic Stability Analysis of A One-Link Force-Controlled Flexible ManipulatorRobotic Systems 5(5), 443451 (1988).CrossRefGoogle Scholar
6.Anderson, G.L., “Stability of a Manipulator with Resilient JointsJ. Sound and Vibrations 101, No. 4, 463480 (1985).CrossRefGoogle Scholar
7.An, C.H. and Hollerbach, J.M., “Dynamic Stability Issues in Force Control of ManipulatorsProceedings of International Conference on Robotics and Automation, IEEE890896 (03 1987).Google Scholar
8.An, C.H. and Hollerbach, J.M., “Kinematic Stability Issues in Force Control of ManipulatorsProceedings of International Conference on Robotics and Automation, IEEE897903 (03 1987).Google Scholar
9.Roberts, R.K., Paul, R.P., and Hillberry, B.M., “The Effect of Wrist Sensor Stiffness on the Control of Robot ManipulatorsProceedings of International Conference on Robotics and Automation, IEEE269274 (03 1985).Google Scholar
10.Townsend, W.T. and Salisbury, J.K. Jr., “The Effect of Coulomb Friction and Stiction on Force ControlProceedings of International Conference on Robotics and Automation, IEEE883889 (03 1987).Google Scholar
11.Eppinger, S.D. and Seering, W.P., “On Dynamic Models of Robot Force ControlProceedings of International Conference on Robotics and Automation, IEEE04 1986, 2934 (04 1986).Google Scholar
12.Eppinger, S.D. and Seering, W.P., “Understanding Bandwidth Limitations in Robot Force ControlProceedings of International Conference on Robotics and Automation, IEEE904909 (03 1987).Google Scholar
13.Craig, J.J., Introduction to Robotics, Mechanics & Control (Addison Wesley Publishing Company, Reading, Massachusetts, 1986).Google Scholar