Skip to main content
Log in

Modeling and control of two constrained manipulators

  • Published:
Journal of Intelligent and Robotic Systems Aims and scope Submit manuscript

Abstract

The coordinated control of two manipulators in the presence of environment constraints is studied in this paper. Such a control method is needed in applications in which the two manipulators grasp a common object whose motion is constrained by environments. The two manipulators are not only constrained with each other, but also constrained by the environment in their workspace. It is realized that the motion and constraint equations obtained directly from mechanics are not suitable for the control purpose. A set of equivalent equations are derived, which are in the standard form of the nonlinear system representation with clear state equations and output equations. A nonlinear feedback is found which exactly linearizes and decouples the dynamic nonlinear system of the two constrained manipulators. The coordinated controller design is then carried out based on the linearized system by using linear system theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ahmad, Shaheen and Guo, Heng, Dynamic coordination of dual-arm robotic systems with joint flexibility, inProc. 1988 IEEE Internat. Conf. on Robotics and Automation, Philadelphia, PA, April 1988, pp. 332–337.

  2. Alford, C.O. and Belyeu, S.M., Coordinated control of two robot arms, inProc. Internat. Conf. on Robotics, Atlanta, Georgia, March 1984, pp. 468–473.

  3. Arimoto, S., Miyazaki, F. and Kawamura, S., Cooperative motion of multiple robot arms or fingers. InProc. 1987 IEEE Internat. Conf. on Robotics and Automation, Raleigh, North Carolina, March 1987, pp. 1407–1412

  4. Craig. John J.,Introduction to Robotics: Mechanics and Control, 2nd edn. Addison-Wesley, Reading, Mass. (1989).

    Google Scholar 

  5. Dorf. Richard C.,Modern Control Systems, 3rd edn, Addison-Wesley Reading Mass. (1980).

    Google Scholar 

  6. Freund, E., On the design of multi-robot systems, inProc. Internat. Conf. on Robotics, Atlanta, Georgia, March 1984, pp. 477–490.

  7. Freund, E. and Hoyer, H., Collision avoidance in multi-robot systems, in2nd Internat. Sympos. of Robotics Research, Kyoyo-Kaikan, Kyoto, Japan, August 1984, pp. 135–146.

  8. Freund, E. and Hoyer, H., On the on-line solution of the findpath problem in multi-robot systems, in 3rd Internat. Sympos. of Robotics Research, Gouvieux, France, October 1985.

  9. Fujii, S. and Kurono, S., Coordinated computer control of a pair of manipulators, inProc. 4th IFTOMM World Congress, University of Newcastle upon Tyne, England, September 1975, pp. 411–417.

  10. Hayati, S., Hybrid position/force control of multi-arm cooperating robots, inProc. 1986 IEEE Internat. Conf. on Robotics and Automation, San Francisco, California, April 1986, pp. 82–89.

  11. Hu, Yan-Ru and Goldenberg, A.A., An adaptive approach to motion and force control of multiple coordinated robot arms, inProc. 1989 IEEE Internat. Conf. on Robotics and Automatin, Scottsdale, Arizona, May 1989, pp. 1091–1096.

  12. Ishida, T., Force control in coordination of two arms, inProc. 5th Internat. Joint Conf. on Artificial Intelligence, August 1977, pp. 717–722.

  13. Kosuge, K., Koga, M., Furuta, K. and Nosaki, K., Coordinated motion control of robot arm based on virtual internal model, inProc. 1989 IEEE Internat. Conf. on Robotics and Automation, Scottsdale. Arizona, May 1989, pp. 1097–1102.

  14. Kreutz, Kenneth and Lokshin, Anatole, Load balance and closed chain multiple arm control, inProc 1988 Amer. Control Conf., Atlanta, GA, June 1988, pp. 2148–2155.

  15. Li, Zexiang, Hsu, Ping and Sastry, Shankar, Dynamic coordination of a multiple robotic system with point contact, inProc. 1988 Amer. Control. Conf., Atlanta, GA, June 1988, pp. 505–510.

  16. Lim, J. and Chyung, D.H., On a control scheme for two cooperating robot arms, inProc. 24th IEEE Conf. on Decision and Control, Fort Lauderdale, Florida, December 1985, pp. 334–337.

  17. McClamroch, N. Harris, Singular systems of differential equations as dynamic models for constrained robot systems, inProc 1988 IEEE Internat. Conf. on Robotics and Automation, San Francisco, CA, 1986, pp. 22–28.

  18. McClamroch. N. Harris and Wang. Danwei, Feedback stabilization and tracking of constrained robots.IEEE Trans. Automat. Control AC 33(5), 419–426 (1988).

    Google Scholar 

  19. Nakamura, Y., Nagai, K. and Yoshikawa, T., Mechanics of coordinative manipulation by multiple robotic mechanisms, inProc 1987 IEEE Internat. Conf. on Robotics and Automation, Raleigh, North Carolina, 1987, pp. 991–998.

  20. Pittelkau, Mark E., Adaptive load-sharing force control for two-arm manipulators, inProc. 1988 Internat. Conf. on Robotics and Automation, Philadelphia, PA, April 1988, pp. 498–503.

  21. Schneider, Stanley and Cannon, Robert H., Jr., Object impedance control for cooperative manipulation: theory and experimental results, inProc. 1989 IEEE Internat. Conf. on Robotics and Automation, Scottsdale, Arizona, May 1989, pp. 1076–1083.

  22. Uchiyama, Masaru and Dauchez, Pierre, A symmetric hybrid position/force control scheme for the coordination of two robots, inProc.1988 IEEE Internat. Conf. on Robotics and Automation, Philadelphia, PA, April 1988, pp. 350–356.

  23. Walker, Michael W., Kim, Dongmin, and Dionise, Joseph, Adaptive coordinated motion control of two manipulator arms, inProc. 1989 IEEE Internat. Conf. on Robotics and Automation, Scottsdale, Arizona, May 1989, pp. 1084–1090.

  24. Zheng, Y.F. and Luh, J.Y.S., Constrained relations between two coordinated industrial robots, inProc. 1985 Conf. of Intelligent Systems and machines, Rochester, Michigan, April 1985, pp. 118–123.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yun, X. Modeling and control of two constrained manipulators. J Intell Robot Syst 4, 363–377 (1991). https://doi.org/10.1007/BF00314940

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00314940

Key words

Navigation