Iterative learning control for irregular distributed parameter systems

被引：0
|
作者：
Fu Q. [1 ]
机构：
[1] School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou
来源：
Fu, Qin (fuqin925@sina.com) | 1600年 / Northeast University卷 / 31期
关键词：
D-type learning law; Irregular; Iterative learning control; Parabolic distributed parameter systems;
D O I：
10.13195/j.kzyjc.2014.1372
中图分类号：
学科分类号：
摘要：
The problem of iterative learning control for a class of irregular distributed parameter systems is considered. The considered distributed parameter systems are composed of parabolic partial differential equations. According to the characteristics of the irregular systems, iterative learning control laws are proposed for such irregular distributed parameter systems by using the D-type learning scheme. Convergence of the output tracking errors in L2 norm along the iteration axis is proved based on the contraction mapping method. A simulation example shows the feasibility and effectiveness of the obtained conclusion. © 2016, Editorial Office of Control and Decision. All right reserved.
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页码：114 / 122
页数：8
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共 20 条
  • [1] Arimoto S., Kawamura S., Miyazaki F., Bettering operation of robots by learning, J of Robotic Systems, 1, 2, pp. 123-140, (1984)
  • [2] Sun M., Wang D., Iterative learning control with initial rectifying action, Automatica, 38, 7, pp. 1177-1182, (2002)
  • [3] Chen Y., Wen C., Gong Z., Et al., An iterative learning controller with initial state learning, IEEE Trans on Automatic Control, 44, 2, pp. 371-376, (1999)
  • [4] Freeman C.T., Cai Z.L., Rogers E., Et al., Iterative learning control for multiple point-to-point tracking application, IEEE Trans on Control Systems Technology, 19, 3, pp. 590-600, (2011)
  • [5] Ruan X.E., Bien Z., Wang Q., Convergence characteristics of proportional-type iterative learning control in the sense of Lebesgue-p norm, IET Control Theory and Applications, 6, 5, pp. 707-714, (2012)
  • [6] Xu J.X., Tan Y., On the P-type and Newton-type ILC schemes for dynamic systems with non-affine-in-input factors, Automatica, 38, 7, pp. 1237-1242, (2002)
  • [7] Dai X.S., Li Z., Tian S.P., Iterative learning-control for distributed parameter systems based on vector-plot analysis, Control Theory & Applications, 26, 6, pp. 619-623, (2009)
  • [8] Xie Z.D., Xie S.L., Liu Y.Q., Design of decentralized variable structure controller of large-scale distributed parameter system with delay, Acta Automatica Sinica, 25, 6, pp. 805-810, (1999)
  • [9] Ge Z.Q., Ma Y.H., Pole assignment of the first order generalized distributed parameter system, Chinese Annals of Mathematics, 22, 6, pp. 729-734, (2001)
  • [10] Fu Q., Finite-time stabilization for a class of distributed parameter systems, Proc of the 10thWorld Congress on Intelligent Control and Automation, pp. 1948-1952, (2012)
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