Abstract
In this paper, iterative learning control utilizing the error prediction method is proposed for a class of linear time varying systems subjected to disturbances. Prediction of the error is done by identifying the system time varying parameters. Convergence of the proposed method is analyzed and the uniform boundedness of tracking error is obtained in the presence of uncertainty and disturbances. It is shown that the learning algorithm not only guarantees the robustness, but also improves the learning rate despite the presence of disturbances. The effectiveness of the proposed method is presented by simulations.
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References
Arimoto, S., Kawamura, S., and Miyazaki, F.: Bettering operation of robots by learning, J. Robotic Systems 1(2) (1984), 123–140.
Arimoto, S., Kawamura, S., and Miyazaki, F.: Bettering operation of dynamic systems by learning: a new control theory for servomechanism or mechatronic systems, in: Proc. of the 23rd IEEE Conf. on Decision and Control, Las Vegas, Nevada, 1984, pp. 1064–1069.
Bondi, P., Casalina, G., and Gambardella, L.: On the iterative learning control theory for robotic manipulators, IEEE J. Robotics Automat. 4 (1988), 14–21.
Oh, S. R., Bien, Z., and Suh, I. H.: An iterative learning control method with application for the robot manipulator, IEEE J. Robotics Automat. 4 (1988), 508–514.
Lee, J.W., Lee, H. S., and Bien, Z.: Iterative learning control with feedback using Fourier series with application to robot trajectory tracking, Robotica 11 (1993), 291–298.
Bien, Z., Hwang, D. H., and Oh, S. R.: A nonlinear iterative learning method for robot path control, Robotica 9 (1991), 387–392.
Kawamura, S., Miyazaki, F., and Arimoto, S.: Realization of robot motion based on a learning method, IEEE Trans. Systems Man Cybernet. 18(1) (1988), 126–134.
Kuc, T. Y., Lee, J. S., and Nam, K.: An iterative learning control theory for a class of nonlinear dynamic systems, Automatica 28(6) (1992), 1215–1221.
Saab, S. S.: On the P type learning control, IEEE Trans. Automat. Control 39(11) (1994), 2298–2302.
Bien, Z. and Huh, K. M.: Higher order iterative learning control algorithm, IEE Proc. D 136 (1989), 105–112.
Hororwitz, R., Messner, W., and Moore, J. B.: Exponential convergence of a learning controller for robot manipulators, IEEE Trans. Automat. Control 30(7) (1991).
Arif, M., Ishihara, T., and Inooka, H.: Identification of linear time varying systems based on 2-D model, in: KACC '97, October 1997.
Niu, S., Fisher, D. G., and Xiao, D.: An augmented identification algorithm, Internat. J. Control 56 (1992), 193–211.
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Arif, M., Ishihara, T. & Inooka, H. Iterative Learning Control Utilizing the Error Prediction Method. Journal of Intelligent and Robotic Systems 25, 95–108 (1999). https://doi.org/10.1023/A:1008099704692
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DOI: https://doi.org/10.1023/A:1008099704692