Abstract
In this paper, a higher-order sampled-data iterative learning control method is presented for nonlinear system with relative degree and output time delays. The higher-order learning algorithm does not include numerical differentiations of any error order. A sufficient condition is proposed that the iterative learning control converges to the desired trajectory at each sampling instant if some Lipschiz conditions are satisfied and the sampling period is small enough. A simulation example shows that higher-order algorithm has larger convergence rate.
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References
Arimoto, S., Kawamura, S., Miyazaki, F.: Bettering operation of robots by learning. Journal of Robotic Systems 1(1), 123–140 (1984)
Amann, N., Owens, D.H., Rogers, E.: Iterative learning control for discrete-time systems with exponential rate of convergence. IEE Proc.-Part, Control Theory Appl. 143(2), 217–224 (1996)
Fang, X., Chen, P., Shao, J.: Optimal higher-order iterative learning control of discrete-time linear systems. IEE Proc.-Control Theory Appl. 152(1), 43–48 (2005)
Norrlöf, M.: An Adaptive Iterative Learning Control Algorithm With Experiments on an Industrial Robot. IEEE Transactions on Robotics and Automation 18(2), 245–251 (2002)
Tayebi, A.: Adaptive iterative learning control for robot manipulators. Automatic (40), 1195–1203 (2004)
Chien, C.-J.: A Discrete Iterative Learning Control of Nonlinear Time-Varying Systems. In: Proceedings of the 35th Conference on Decision and Control, pp. 3056–3061 (1996)
Chien, C.-J.: The Sampled-Data Iterative Learning Control for Nonlinear Systems. In: Proceedings of the 36th Conference on Decision and Control, pp. 4306–4311 (1997)
Sun, M., Wang, D.: Sampled-data iterative learning control for nonlinear systems with arbitrary relative degree. Automatica 37, 283–289 (2001)
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Hongwei, X., Yanyan, H., Yanfeng, G. (2012). Higher-Order Sampled-Data Iterative Learning Control for Nonlinear Systems. In: Luo, J. (eds) Affective Computing and Intelligent Interaction. Advances in Intelligent and Soft Computing, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27866-2_44
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DOI: https://doi.org/10.1007/978-3-642-27866-2_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27865-5
Online ISBN: 978-3-642-27866-2
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