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一类非线性系统的分段迭代学习控制

PIECEWISE ITERATIVE LEARNING CONTROL FOR A CLASS OF NONLINEAR SYSTEMS
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摘要 本文提出并研究一类非线性系统的分段迭代学习控制问题.基于P型学习律和D型学习律构建得到分段迭代学习控制律,利用压缩映射原理,证明这种分段迭代学习律能使得系统的输出跟踪误差沿迭代轴方向收敛.仿真算例验证了算法的有效性. The problem of piecewise iterative learning control for a class of nonlinear systems is proposed and studied.Piecewise iterative learning scheme is constructed based on P-type learning scheme and D-type learning scheme.By using the contraction mapping method,it is shown that the piecewise iterative learning scheme can guarantee the output tracking error of the whole system converges along the iteration axis.The effectiveness of the proposed algorithm is verified through simulation.
出处 《数学杂志》 CSCD 北大核心 2016年第3期655-666,共12页 Journal of Mathematics
基金 国家自然科学基金资助(11371013)
关键词 P型学习律 D型学习律 分段迭代学习控制 非线性系统 P-type learning scheme D-type learning scheme piecewise iterative learning control nonlinear systems
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  • 1Arimoto S, Kawamura S, Miyazaki F. Bettering operation of robots by learning[J]. J. Robotic Sys., 1984, 1(2): 123-140.
  • 2Sun M, Wang D. Iterative learning control with initial rectifying action[J]. Automatica, 2002, 38(7): 1177-1182.
  • 3Chen Y, Wen C, Gong Z, Sun M. An iterative learning controller with initial state learning[J]. IEEE Trans. Autom. Contr., 1999, 44(2): 371-376.
  • 4尹水仿.线性多时滞系统的二阶D型迭代学习控制[J].数学杂志,2008,28(3):319-324. 被引量:2
  • 5Freeman C T, Cai Z L, Rogers E, Lewin P L. Iterative learning control for Multiple point-to-point tracking application[J]. IEEE Trans. Contr. Sys. Tech., 2011, 19(3): 590-600.
  • 6Ruan X E, Bien Z, Wang Q. Convergence characteristics of proportional-type iterative learning control in the sense of Lebesgue-p norm[J]. IET Contr. The. Appl., 2012, 6(5): 707-714.
  • 7Bien Z, Hwang D H, Oh S R. A nonlinear iterative learning method for robot path control[J]. Robotica, 1991, 9(4): 387-392.
  • 8Xu J X, Tan Y. On the P-type and Newton-type ILC schemes for dynamic systems with non-affine- in-input factors[J]. Automatica, 2002, 38(7): 1237-1242.
  • 9Xu J X, Tan Y. Robust optimal design and convergence properties analysis of iterative learning control approaches[J]. Automatica, 2002, 38(11): 1867-1880.
  • 10哈里尔.非线性系统(第三版)[M】.北京:电子工业出版社,2005.

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