PD-Type ILC Algorithm Research with Forgetting Factor for a Class of Linear Systems with Multiple Time Delays

Article Preview

Abstract:

Based on iterative learning control (ILC) algorithm with forgetting factor, the thought that the forgetting factor is a function of iteration numbers is proposed in this paper, which has simplified the convergence conditions. And the convergence analysis is given. Then, the study results of this paper are applied to a class of linear systems with multiple time delays and simulation results show that, under the improvements of the convergence conditions and the reasonable choice of forgetting factor function, the PD-type iterative learning control algorithm with forgetting factor applied to the linear systems with multiple time delays in this paper has effectiveness and superiority.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1125-1130

Citation:

Online since:

November 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Arimoto S, Kawamura S, Miyazakif. Bettering Operation of Robotics by Learning [J]. Journal of Robotic Systems, 1984, 1(2): 123-140.

Google Scholar

[2] Jianxin Xu, Ying Tan. Robust Optimal Design and Convergence Properties Analysis of Iterative Control Approaches [J]. Automatic, 2002, 38(11): 1867-1880.

DOI: 10.1016/s0005-1098(02)00143-7

Google Scholar

[3] Mingxuan Sun, Baojian Huang. Iterative Learning Control [M]. Beijing: National Defense Industry Press, 1999.

Google Scholar

[4] Shengli Xie, Senping Tian, Zhendong Xie. Fast Algorithm of Iterative Learning Control Based on Geometric Analysis [J]. Control Theory & Applications, 2003, 20(3): 419-422.

DOI: 10.1109/icca.2002.1229424

Google Scholar

[5] Sizhong Jiang, Fanglai Zhu, Xinkai Wang, Gaiyun Wang. Fuzzy Gain PD Type Iterative Learning Control Algorithm and Its Application [J]. Electronics Optics & Control, 2009, 16(8):72-74.

Google Scholar

[6] Mingxuan Sun. Finite Time Iterative Learning Control [J]. Journal of Systems Science and Mathematical Sciences, 2010, 30(6):733-741.

Google Scholar

[7] Heinzinger G, Fenwick D, Paden B and Miyazaki F. Robust Learning Control. Proceedings of the 28th Conference on Decision and Control, Tampa, Florida, 1989, 436-440.

DOI: 10.1109/cdc.1989.70152

Google Scholar

[8] Heinzinger G, Fenwick D, Paden B and Miyazaki F. Stability of Learning Control with Disturbances and Uncertain Initial Conditions. IEEE Transactions on Automatic Control, 1992, 37(1):110-114.

DOI: 10.1109/9.109644

Google Scholar

[9] Yu Sun, Peng Xia, Hui Lin. Iterative Learning Control for a class of Nonlinear Batch Processes with State Delay [J].System Engineering and Electronics, 2011, 33(2):380-384.

Google Scholar

[10] Yong Cao, Huade Li. Filtered-Version Iterative Learning Linear Servo System with Forgetting Factor [J]. Journal of University of Science and Technology Beijing, 2009, 31(2):266-271.

Google Scholar

[11] Zhongshu Yao, Chengwu Yang, Jianrong Wu. Iterative Learning Control for Nonlinear Systems with Uncertain State Delay [J]. System Engineering and Electronics, 2002, 24(11):34-63.

Google Scholar

[12] Mingxuan Sun. Iterative Learning Control Algorithms for Uncertain Time-Delay Systems (I) [J]. Journal of Xi'an Institute of Technology, 1997, 17(4): 259-266.

Google Scholar

[13] Mingxuan Sun. Iterative Learning Control Algorithms for Uncertain Time-Delay Systems (II) [J]. Journal of Xi'an Institute of Technology, 1998, 18(1): 1-8.

Google Scholar

[14] Geng Ji, Yueqing Zhao. An Open-Closed-Loop PID-Type Iterative Learning Control for Linear Systems with Multiple Time-Delays [J]. Journal of Southwest University for Nationalities, 2008, 34(4):637-643.

Google Scholar

[15] Shuifang Yin. A Class of 2-Order D-Type Iterative Learning Control for Linear Systems with Multiple Time Delays [J]. Journal of Mathematics, 2008, 28(3):319-324.

Google Scholar