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Analysis of a high-order iterative learning control algorithm for uncertain nonlinear systems with state delays. (English) Zbl 0912.93031
The authors propose and analyse a new high-order learning control algorithm for a class of nonlinear systems characterized by uncertainty and state delays. The method is enriched by interesting simulation results.

93C10 Nonlinear systems in control theory
Full Text: DOI
[1] Ahn, H.; Choi, C.; Kim, K., Iterative learning control for a class of nonlinear systems, Automatica, 29, 1575-1578, (1993) · Zbl 0790.93063
[2] Arimoto, S.; Kawamura, S.; Miyazaki, F., Bettering operation of robots by learning, J. robotic systems, 1, 2, 123-140, (1984)
[3] Bien, Z.; Huh, K.M., Highorder iterative learning control algorithm, IEE proc. pt.-D, 136, 3, 105-112, (1989) · Zbl 0731.93047
[4] Bondi, P.; Casalino, G.; Gambardella, L., On the iterative learning control theory for robotic manipulators, IEEE J. robotics automation, 4, 14-22, (1988)
[5] Chen, Y.; Wen, C.; Sun, M., A robust high-order P-type iterative learning controller using current iteration tracking error, Int. J. of control, 68, 331-342, (1997) · Zbl 0886.93036
[6] Corke, P.I.; Armstrong-Hélouvry, B., A meta-study of PUMA 560 dynamicsa critical appraisal of literature data, Robotica, 13, 253-258, (1995)
[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.; Panzieri, S., An iterative scheme for learning gravity compensation in flexible robot arms, Automatica, 30, 993-1002, (1994) · Zbl 0800.93816
[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., Fenwick, D., 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.; Fenwick, D.; Paden, B.; Miyazaki, F., Stability of learning control with disturbances and uncertain initial conditions, IEEE trans. automat. control, 37, 1, 110-114, (1992)
[13] Horowitz, R.; Messner, W.; Boals, M., Exponential convergence of a learning controller for robot manipulator, IEEE trans. automat. control, 36, 7, 890-894, (1991) · Zbl 0762.93062
[14] Ioannou, P.A.; Sun, J., Robust adaptive control, (1996), Prentice-Hall Englewood Cliffs, NJ
[15] Jang, T.-J.; Choi, C.-H.; Ahn, H.-S., Iterative learning control in feedback systems, Automatica, 31, 2, 243-245, (1995)
[16] Kuc, T.-Y.; Lee, J.S.; Nam, K., An iterative learning control theory for a class of nonlinear dynamic systems, Automatica, 28, 1215-1221, (1992) · Zbl 0775.93092
[17] Lee, H.-S.; Bien, Z., Study on robustness of iterative learning control with nonzero initial error, Int. J. of control, 64, 345-359, (1996) · Zbl 0850.93275
[18] Messner, W.; Horowitz, R.; Kao, W.; Boals, M., A new adaptive learning rule, IEEE trans. automat. control, 36, 2, 188-197, (1991) · Zbl 0758.93086
[19] Oh, S.; Bien, Z.; Suh, I., An iterative learning control method with application for the robot manipulator, IEEE J. robotics automation, 4, 5, 508-514, (1988)
[20] Sugie, T.; Ono, T., An iterative learning control law for dynamical systems, Automatica, 27, 4, 729-732, (1991)
[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. · Zbl 0920.93024
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