Analysis of a High-Order Iterative Learning Control Algorithm for Uncertain Nonlinear Systems with State Delays

Automatica

Volumn 34, Issue 3, 1998, Pages 345-353

  Chen, Yangquan ^b,c   Gong, Zhiming ^a,b   Wen, Changyun ^b  

^a SINGAPORE INSTITUTE OF MANUFACTURING TECHNOLOGY   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Convergence analysis; Delay; High order scheme; Iterative learning control; Nonlinear systems; Tracking

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DELAY CONTROL SYSTEMS; ITERATIVE METHODS; LEARNING SYSTEMS; THREE TERM CONTROL SYSTEMS;

HIGHER ORDER SCHEME; ITERATIVE LEARNING CONTROL; UNCERTAIN NONLINEAR SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0032025548     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(97)00196-9     Document Type: Article

References (21)

1. Ahn, H., C. Choi and K. Kim (1993). Iterative learning control for a class of nonlinear systems. Automatica, 29, 1575-1578.
2. Arimoto, S., S. Kawamura and F. Miyazaki (1984). Bettering operation of robots by learning. J. Robotic Systems, 1(2), 123-140.
3. Bien, Z. and K. M. Huh (1989). High-order iterative learning control algorithm. IEE Proc. Pt.-D, 136(3), 105-112.
4. Bondi, P., G. Casalino and L. Gambardella (1988). On the iterative learning control theory for robotic manipulators. IEEE J. Robotics Automation, 4, 14-22.
5. Chen, Y., C. Wen and M. Sun (1997). A robust high-order P-type iterative learning controller using current iteration tracking error. Int. J. of Control, 68, 331-342.
6. Corke, P. I. and B. Armstrong-Hélouvry (1995). A meta-study of PUMA 560 dynamics: a critical appraisal of literature data. Robotica, 13, 253-258.
7. Craig, J. (1984). Adaptive control of manipulators through repeated trials. In Proc. Amer. Control Conf., San Diego, CA, pp. 1566-1573.
8. De Luca, A. and S. Panzieri (1994). An iterative scheme for learning gravity compensation in flexible robot arms. Automatica, 30, 993-1002.
9. Geng, Z., J. D. Lee, R. L. Carroll and L. H. Haynes (1990). Learning control system design based on 2-d theory - an application to parallel link manipulator. In Proc. 1990 IEEE Int. Conf. on Robotics and Automation, pp. 1510-1515.
10. Hauser, J. (1987). Learning control for a class of nonlinear systems. In Proc. 26th IEEE Conf. on Decision and Control, Los Angles, CA, pp. 859-860.
11. Heinzinger, G., D. Fenwick, B. Paden and F. Miyazaki (1989). Robust learning control. In Proc. 28th IEEE Conf. on Decision and Control, Tempa, FL, pp. 436-440.
12. Heinzinger, G., D. Fenwick, B. Paden and F. Miyazaki (1992). Stability of learning control with disturbances and uncertain initial conditions. IEEE Trans. Automat. Control, 37(1), 110-114.
13. Horowitz, R., W. Messner and M. Boals (1991). Exponential convergence of a learning controller for robot manipulator. IEEE Trans. Automat. Control, 36(7), 890-894.
14. Ioannou, P. A. and J. Sun (1996). Robust Adaptive Control. Prentice-Hall, Englewood Cliffs, NJ.
15. Jang, T.-J., C.-H. Choi and H.-S. Ahn (1995). Iterative learning control in feedback systems. Automatica, 31(2), 243-245.
16. Kuc, T.-Y., J. S. Lee and K. Nam (1992). An iterative learning control theory for a class of nonlinear dynamic systems. Automatica, 28, 1215-1221.
17. Lee, H.-S. and Z. Bien (1996). Study on robustness of iterative learning control with non-zero initial error. Int. J. of Control, 64, 345-359.
18. Messner, W., R. Horowitz, W. Kao and M. Boals (1991). A new adaptive learning rule. IEEE Trans. Automat. Control, 36(2), 188-197.
19. Oh, S., Z. Bien, and I. Suh (1988). An iterative learning control method with application for the robot manipulator. IEEE J. Robotics Automation, 4(5), 508-514.
20. Sugie, T. and T. Ono (1991). An iterative learning control law for dynamical systems. Automatica, 27(4), 729-732.
21. Yamada, M., L. Xu and O. Saito (1996). 2D model-following servo system. In Proc. 13th IFAC Triennial World Congress, San Francisco, pp. 291-296.