Modeling and control of elastic joint robots

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 109, Issue 4, 1987, Pages 310-319

  Spong, M W ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; JOINTS - CONTROL; MATHEMATICAL MODELS;

DIFFEOMORPHIC COORDINATE TRANSFORMATION; GYROSCOPIC INTERACTIONS; NONLINEAR FEEDBACK;

ROBOTS, INDUSTRIAL;

EID: 0023539555     PISSN: 00220434     EISSN: 15289028     Source Type: Journal    
DOI: 10.1115/1.3143860     Document Type: Article

References (36)

1. Bejczy, A. C., “Robot Arm Dynamics and Control,” JPL Technical Memo., 33-369, Feb. 1974.
2. Freund, F. “Fast Nonlinear Control with Arbitrary Pole-Placement for Industrial Robots and Manipulators,” Int. J. Robotics Res., Vol. 1, No. 1, 1982, PP. 65-78.
3. Hunt, L. R., Su, R., and Meyer, G., “Design for Multi-input Nonlinear Systems,” Differential Geometric Control Theory Conf, Birkhauser, Boston, 1983, pp. 268-298.
4. Paul, R. P., Robot Manipilators: Mathematics, Programming and Control, MIT Press, Cambridge, Mass., 1982.
5. Slotine, J. J., “Robust Control of Robot Manipulators,” Int. J. Robotics Res., Vol. 4, No. 2, 1985.
6. Spong, M. W., Thorp, J. S., and Kleinwaks, J. W., “The Control of Robot Manipulators with Bounded Control Part II: Robustness and Disturbance Rejection,” Proc. 23nd IEEE CDC, Las Vegas, NV, Dec. 1984.
7. Tarn, T. J., Bejczy, A. K., Isidori, A., and Chen, Y., “Nonlinear Feedback in Robot Arm Control,” Proc. 23rd IEEE CDC, Las Vegas, NV, Dec. 1984.
8. Samson, C., “Robust Non Linear Control of Robotic Manipulators,” Proc. 22nd IEEE CDC, San Antonio, Dec. 1983.
9. Sweet, L. M., and Good, M. C., “Redefinition of the Robot Motion Control Problem: Effects of Plant Dynamics, Drive System Constraints, and User Requirement,” Proc. 23rd IEEE Conf. On Decision and Control, Las Vegas, NV, Dec. 1984, pp. 724-731.
10. Chow, J. H., and Kokotovic, P. V., “Two Time Scale Feedback Design of a Class of Nonlinear Systems,” IEEE Trans, on Automatic Control, AC-23, 1978, pp. 438-443.
11. Kokotovic, P. V., “Applications of Singular Perturbation Techniques to Control Problems,” SIAM Review, Vol. 26, No. 4, 1984, pp. 396-410.
12. Erzerber, H., “Analysis and Design of Model Following Systems by State Space Techniques,” Proc. JACC, 1968, pp. 572-581.
13. Cesareo, G. and Marino, R., “On the Controllability Properties of Elastic Robots,” Sixth Int. Conf. On Analysis and Optimization of Systems, INRIA, Nice, 1984.
14. Fenichel, “Geometric Singular Perturbation Theory for Ordinary Differential Equations,” J. Differential Equations, Vol. 3, 1979, pp. 53-98.
15. Ficola, A., Marino, R., and Nicosia, S., “A Singular Peturbation Approach to the Control of Elastic Robots,” Proc. 21st. Annual Allerton Conf. On Communication, Control, and Computing, Univ. Of Illinois, 1983.
16. Hoppensteadt, F., “Properties of Solutions of Ordinary Differential Equations with Small Parameters,” Comm. Pure Appl. Math., Vol 34, 1971, pp. 807-840.
17. Hunt, L. R., Su R., and Meyer, G., “Global Transformations of Nonlinear Systems,” IEEE Trans, on Automatic Control, Vol. Ac-28, 1983, pp. 24-30.
18. Khorasani, K., and Spong, M. W., “Invariant Manifolds and their Applications to Robot Manipulators with Flexible Joints,” Proc. 1985 IEEE Int. Conf on Robotics and Automation, St. Louis, Mar. 1985.
19. Kokotovic, P. V., “Control Theory in the 80’s: Trends in Feedback Design,” Proc. 9th World Congress of IFAC, July 1984.
20. Marino, R., and Nicosia, S., “On the Feedback Control of Industrial Robots with Elastic Joints: A Singular Perturbation Approach,” University of Rome, R-84.01, 1984.
21. Sobolev, V. A., “Integral Manifolds and Decompositions of Singularly Perturbed Systems,” Systems and Control Letters, Vol. 5, 1984, pp. 1169-179.
22. Su, R., “On the Linear Equivalents of Nonlinear Systems,” Systems and Control Letters, Vol 2, 1981, pp. 48-52.
23. Spong, M. W., Khorasani, K., and Kokotovic, P. V., “A Slow Manifold Approach to Feedback Control of Flexible Joint Robots,” to appear in IEEE Journal of Robotics and Automation, 1986.
24. Rivin, E. I., “Effective Rigidity of Robot Structure: Analysis and Enhancement,” Proc. 1985, ACC, Boston, June 1985.
25. Good, M., Strobel, K., and Sweet, L. M., “Dynamics and Control of Robot Drive Systems,” General Electric Company, Corporate Research and Development, 1983.
26. Forrest-Barlach, M. G., and Babcock, S. M., “Inverse Dynamics Position Control of a Compliant Manipulator,” Proc. IEEE Conference of Robotics and Automation, San Francisco, Apr. 1986, pp. 196-205.
27. Marino, R. W., and Spong, M. W., “Nonlinear Control Techniques for Flexible Joint Manipulators: A Single Link Case Study,” Proc. 1986IEEE Conference on Robotics and Automation, San Francisco, Apr. 1986, pp. 1030-1036.
28. Khorasani, K., and Kokotovic, P. V., “Feedback Linearization of a Flexible Manipulator Near its Rigid Body Manifold,” Systems and Control Letters, Vol. 6, 1985, pp. 187-192.
29. De Luca, A., Isidori, A., and Nicolo, F., “An Application of Nonlinear Model Matching to the Dynamic Control of Robot Arm with Elastic Joints,” preprint, 1985.
30. Bejczy, A. K., personal communication, San Francisco, Apr. 1986.
31. Spong, M. W., and Vidyasagar, M., “Robust Nonlinear Control of Robot Manipulators,” Proc. 24th IEEE Conf. On Decision and Control, Fort Lauderdale, Dec. 1985, pp. 1767-1772.
32. Springer, H., Lugner, P., and Desoyer, D. “Equations of Motion for Manipulators Including Dynamic Effects of Active Elements,” Proc. IFAC Symposium and Robot Control, SYROCO' 85, Barcelona, Nov. 1985.
33. Spong, M. W., “Robust Stabilization For a Class of Nonlinear Systems,” Proc. 7th Int. Symp. On the Math. Theory of Network and Systems, (MTNS), Stockholm, June 1985, Springer-Verlag.
34. Craig, J., Introduction to Robotics, Addison-Wesley, 1985.
35. Krener, A. J., and Isidori, A., “Linearization by Output Injection and Nonlinear Observers,” Systems and Control Letters, Vol. 3, 1983, pp. 47-52.
36. Shoureshi, R., Roesler, M. D., and Corlis, M. J., “Control of Industrial Manipulators with Bounded Uncertainty,” Japan-USA Symposium of Flexible Automation, Osaka, Japan. 1986.