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TECHNICAL PAPERS

Iterative Learning Control for Nonlinear Nonminimum Phase Plants

[+] Author and Article Information
Jayati Ghosh

Agilent Technologies Inc., Bio-Research Solutions Unit, Santa Clara, CA 95051e-mail: jayati-ghosh@agilent.com

Brad Paden

Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93106e-mail: paden@engineering.ucsb.edu

J. Dyn. Sys., Meas., Control 123(1), 21-30 (Dec 01, 1998) (10 pages) doi:10.1115/1.1341200 History: Received December 01, 1998
Copyright © 2001 by ASME
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References

Arimoto, S., Kawamura, S., and Miyazaki, F., 1984, “Bettering Operation of Dynamic Systems by Learning: A New Control Theory for Servomechanism or Mechatronics Systems,” Proc. of 23rd Conference on Decision and Control, Dec., pp. 1064–1069.
Craig, J. J., 1984, “Adaptive Control of Manipulators through Repeated Trials,” Proc. of American Control Conference, pp. 1566–1573.
Kawamura,  S., Miyazaki,  F., and Arimoto,  S., 1988, “Realization of Robot Motion Based on a Learning Method,” IEEE Trans. Syst. Man Cybern., 18, No. 1, Jan., pp. 126–133.
Atkeson, C. G., and McIntyre, J., 1986, “Robot Trajectory Learning through Practice,” IEEE International Conference on Robotics and Automation, Apr., pp. 1737–1742.
Bondi,  P., Casalino,  G., and Gambardella,  L., 1988, “On the Iterative Learning Control Theory for Robotic Manipulators,” IEEE Trans. Rob. Autom., 4, No. 1, Feb., pp. 14–21.
Arimoto, S., 1990, “Robustness of Learning Control for Robot Manipulators,” IEEE International Conference on Robotics and Automation, pp. 1528–1533.
Hauser, J. E., 1987, “Learning Control for a Class of Nonlinear Systems,” Proc. of 28th Conference on Decision and Control, Dec., pp. 859–860.
Sugie,  T., and Ono,  T., 1991, “An Iterative Learning Control for Dynamical Systems,” Automatica, 27, No. 4, pp. 729–732.
Heinzinger,  G., Fenwick,  D., Paden,  B., and Miyazaki,  F., 1992, “Stability of Learning Control with Disturbances and Uncertain Initial Condition,” IEEE Trans. Autom. Control, AC-37, No. 1, Jan., pp. 110–114.
Chen,  Y., Wen,  C., and Sun,  M., 1997, “A Robust High-order P-type Iterative Learning Controller Using Current Iteration Tracking Error,” Int. J. Control, 68, No. 2, pp. 331–342.
Gao, J., and Chen, D., 1998, “Iterative Learning Control for Non-minimum Phase Systems,” Personal Communication.
Devasia,  S., Chen,  D., and Paden,  B., 1996, “Nonlinear Inversion-Based Output Tracking,” IEEE Trans. Autom. Control, AC-41, No. 7, July, pp. 930–942.
Tomizuka,  M., Tsao,  T., and Chew,  K., 1989, “Analysis and Synthesis of Discrete-Time Repetitive Controllers,” ASME J. Dyn. Syst., Meas., Control, 111, Sept., pp. 353–358.
Tomizuka,  M., 1987, “Zero Phase Error Tracking Algorithm for Digital Control,” ASME J. Dyn. Syst., Meas., Control, 109, Mar., pp. 65–68.
Rudin, W., 1976, Principles of Mathematical Analysis, Mathematics Series, McGraw-Hill International Editions, Third Edition.
Khalil, H. K., 1996, Nonlinear Systems, Prentice Hall, Englewood Cliffs, NJ, Second Edition.
Paden, B., and Chen, D., 1992, “A State-Space Condition for Invertibility of Non-minimum Phase Systems,” Advances in Robust and Nonlinear Control Systems, ASME, Vol. 43, Nov. pp. 37–41.
Ghosh, J., and Paden, B., 2000, “Pseudo-Inverse Based Iterative Learning Control for Nonlinear Plants with Unmodelled Dynamics.” Proc. of American Control Conference, Dec., submitted.
Isidori, A., 1995, Nonlinear Control Systems Communication and Control Engineering Series, Springer-Verlag, Third Edition.

Figures

Grahic Jump Location
Iterative learning control for linear plants. (a) Update law is given by (9); (b) Update law is given by (10). LC: learning controller, T : truncation operator.
Grahic Jump Location
Nonlinear learning control system. DN|0−1 is the learning controller.
Grahic Jump Location
Tracking of nonlinear nonminimum phase system without input disturbance after 3 iterations
Grahic Jump Location
Learning curve to show convergence
Grahic Jump Location
Tracking of the same system in presence of input disturbance after 3 iterations
Grahic Jump Location
Tracking of nonlinear nonminimum phase system with repetitive disturbance after 5 iterations

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