Invariant manifolds and their application to robot manipulators with flexible joints

Proceedings - IEEE International Conference on Robotics and Automation

Volumn , Issue , 1985, Pages 978-983

  Khorasani, K ^a   Spong, Mark W ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; INDUSTRIAL ROBOTS; MODULAR ROBOTS; ROBOT APPLICATIONS; ROBOTICS;

INVARIANT MANIFOLDS; JOINT FLEXIBILITY; PERTURBATION PARAMETERS; POWER SERIES EXPANSIONS; REDUCED ORDER MODELS; RIGIDBODY DYNAMICS; ROBOT MANIPULATOR; SINGULAR PERTURBATIONS;

FLEXIBLE MANIPULATORS;

EID: 84995117879     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ROBOT.1985.1087289     Document Type: Conference Paper

References (20)

1. Bejczy, A.C., "Robot Arm Dynamics and Control", JPL Technical Memo., 33-369, Feb. 1974.
2. Freund, "Fast Nonlinear Control with Arbitrary Pole-Placement for Industrial Robots and Manipulators", Int. J. Robotics Res., V. 1, No. 1, pp. 65-78, (1982).
3. Hunt, L.R., Su, R., and Meyer, G., "Design for Multi-input Nonlinear Systems", Differential Geometric Control Theory Conf., Birkhauser, Boston, pp. 268-298, (1983).
4. Luh, Walker, and Paul, "Resolved Acceleration Control of Mechanical Manipulators", IEEE Tram. Automatic Control, Vol AC-25 pp. 468-474, (1980).
5. Paul, R.P., Robot Manipulators: Mathematics, Programming and Control, MIT Press, Cambridge, Mass., (1982).
6. Sastry, S.S., and Slotine, J.J., "Tracking Control of Nonlinear Systems Using Sliding Surfaces with Application to Robot Manipulators", Int. J. Control, Vol. 38, no. 2, pp 465-492, (1983).
7. Slotine, J.J., "Robust Control of Robot Manipulators", to appear, Int. J. Robotics Res., V.4, No. 2, (1985).
8. 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. SSnd IEEE CDC, Las Vegas, NV, Dec. 1984.
9. Tarn, T.J., Bejczy, A.K., Isidori, A., Chen, Y., "Nonlinear Feedback in Robot Arm Control", Proc SSrd IEEE CDC, Las Vegas, NV, Dec. 1984.
10. Samson, C, "Robust Non Linear Control of Robotic Manipulators", Proc. SSnd IEEE CDC, San Antonio, Dec. 1983.
11. Ficola, A., Marino, R., and Nicosia, S., "A Singular Perturbation Approach to the Dynamic Control of Elastic Robots", Proc. 21st Allerton conf. on Comm., control, and computing, Monticello, III., 1983.
12. 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.
13. Fenichel, N., "Geometric Singular Perturbation Theory for Ordinary Differential Equations", J. Diff. Eqs., 31, 53-98, 1979.
14. Sweet, L.M., and Good, M.C., "Re-Definition of the Robot Motion Control Problem: Effects of Plant Dynamics, Drive System Constraints, and User Requirements", Proc. 23rd IEEE Conf. on Decision and Control, Las Vegas, NV. Dec. 1984, 724-732.
15. 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, 438-443, 1978.
16. Kokotovic, P.V., "Applications of Singular Perturbation Techniques to Control Problems", SIAM Review, 26: 4, 396-410, 1984.
17. Balestrino, A., DeMaria G., Sciavicco L., "An Adaptive Model Following Control System for Robotic Manipulators", J. Dynamic Systems, Meas. and Control, 105, no.3, 14-151, 1983.
18. Nicosia, S., and Tomei, P., "Model Reference Adaptive Control Algorithms for Industrial Robots", Automatica, Vol. 20 no. 5, 635-644, Sept. 1984.
19. Erzberber, H., "Analysis and Design of Model Following Systems by State Space Techniques," Proc. JACC, 572-581, 1968.
20. Kokotovic, P., and Khorasani, K., "Feedback Control Design For Nonlinear Singularly Perturbed Systems: A Geometric Approach", Proc. JUREMA Symposium on Trends in Control Theory, Cavtat, Yugoslavia, July 1984.