A high-order internal model based iterative learning control scheme for discrete linear time-varying systems

被引：46
作者：
Zhou W. [1 ,2 ]
Yu M. [1 ]
Huang D.-Q. [3 ]
机构：
[1] College of Electrical Engineering, Zhejiang University, Hangzhou
[2] College of Engineering, Jiangsu Institute of Commerce, Nanjing
[3] Department of Aeronautics, Imperial College London, London
来源：
International Journal of Automation and Computing | 2015年 / 12卷 / 03期
关键词：
discrete linear time-varying systems; high-order internal model; iteration-varying desired trajectory; Iterative learning control; permanent magnet linear motors;
D O I：
10.1007/s11633-015-0886-x
中图分类号：
学科分类号：
摘要：
In this paper, an iterative learning control algorithm is proposed for discrete linear time-varying systems to track iteration-varying desired trajectories. A high-order internal model (HOIM) is utilized to describe the variation of desired trajectories in the iteration domain. In the sequel, the HOIM is incorporated into the design of learning gains. The learning convergence in the iteration axis can be guaranteed with rigorous proof. The simulation results with permanent magnet linear motors (PMLM) demonstrate that the proposed HOIM based approach yields good performance and achieves perfect tracking. © 2015, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：330 / 336
页数：6
相关论文
共 40 条
  • [11] Huang D.Q., Xu J.X., Li X.F., Xu C., Yu M., D-type anticipatory iterative learning control for a class of inhomogeneous heat equations, Automatica, 49, 8, pp. 2397-2408, (2013)
  • [12] Arimoto S., Learning control theory for robotic motion, International Journal of Adaptive Control and Signal Processing, 4, 6, pp. 543-564, (1990)
  • [13] Chen Y.Q., Wen C.Y., Sun M.X., A robust high-order P-type iterative learning controller using current iteration tracking error, International Journal of Control, 68, 2, pp. 331-342, (1997)
  • [14] Chen Y.Q., Gong Z.M., Wen C.Y., Analysis of a highorder iterative learning control algorithm for uncertain nonlinear systems with state delays, Automatica, 34, 3, pp. 345-353, (1998)
  • [15] Bu X.H., Hou Z.S., Stability of iterative learning control with data dropouts via asynchronous dynamical system, International Journal of Automation and Computing, 8, 1, pp. 29-36, (2011)
  • [16] Huang D.Q., Tan Y., Xu J.X., A dual-loop iterative learning control for nonlinear systems with hysteresis input uncertainty, Proceedings of IEEE International Conference on Control and Automation, pp. 1116-1121, (2009)
  • [17] Moore K.L., Verwoerd M.H.A., L <sub>1</sub>-optimal robust iterative learning controller design, Proceedings of the American Control Conference, pp. 3881-3886, (2008)
  • [18] Chen W.S., Novel adaptive learning control of linear systems with completely unknown time delays, International Journal of Automation and Computing, 6, 2, pp. 177-185, (2009)
  • [19] Chen W.S., Li R.H., Li J., Observer-based adaptive iterative learning control for nonlinear systems with timevarying delays, International Journal of Automation and Computing, 7, 4, pp. 438-446, (2010)
  • [20] Li J.M., Li X.M., Xing K., Hybrid adaptive iterative learning control of non-uniform trajectory tracking for nonlinear time-delay systems, Proceedings of the 26th Chinese Control Conference, pp. 515-519, (2007)
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