分布参数系统于W1,2空间中的迭代学习控制

数学物理学报 ›› 2016, Vol. 36 ›› Issue (2): 267-286.

分布参数系统于W^1,2空间中的迭代学习控制

傅勤

苏州科技学院数理学院江苏苏州 215009

收稿日期:2015-09-21 修回日期:2016-01-27 出版日期:2016-04-25 发布日期:2016-04-25
作者简介:傅勤,fuqin925@sina.com
基金资助:
国家自然科学基金(11371013)资助

Iterative Learning Control for Distributed Parameter Systems in Space W^1,2

Fu Qin

School of Mathematics and Physics, Suzhou University of Science and Technology, Jiangsu Suzhou 215009

Received:2015-09-21 Revised:2016-01-27 Online:2016-04-25 Published:2016-04-25
Supported by:
Supported by the NSFC (11371013)

摘要/Abstract

摘要：

研究一类分布参数系统于W^1,2空间中的迭代学习控制问题,该类分布参数系统由抛物型偏微分方程或由双曲型偏微分方程构成.针对系统所满足的性质,基于P型学习律构建得到迭代学习控制律,并进一步证明这种学习律能使得系统的输出跟踪误差于W^1,2空间内沿迭代轴方向收敛.仿真算例说明了该结论的可行性和有效性.

关键词: P型学习律, 迭代学习控制, 分布参数系统, W^1, 2空间

Abstract:

In space W^1,2, the problem of iterative learning control algorithm for a class of distributed parameter systems is considered. Here, the considered distributed parameter systems are composed of parabolic partial differential equations or hyperbolic partial differential equations. According to system properties, iterative learning control laws are proposed for such distributed parameter systems based on P-type learning scheme. Further, it is shown that the scheme can guarantee the output tracking errors on W^1,2 space converge along the iteration axis. Simulation examples show the feasibility and effectiveness of the conclusion.

Key words: P-type learning scheme, Iterative learning control, Distributed parameter systems, W^1,2 space

中图分类号:

TP13

傅勤. 分布参数系统于W^1,2空间中的迭代学习控制[J]. 数学物理学报, 2016, 36(2): 267-286.

Fu Qin. Iterative Learning Control for Distributed Parameter Systems in Space W^1,2[J]. Acta mathematica scientia,Series A, 2016, 36(2): 267-286.

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