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  • 周星宇,戴喜生,汪村.具有扩散耦合偏微分时滞系统的学习跟踪控制[J].广西科学,2017,24(6):588-596.    [点击复制]
  • ZHUO Xingyu,DAI Xisheng,WANG Cun.Learning Tracking Control for Partial Differential Time-Delay Systems with Diffusion Coupling[J].Guangxi Sciences,2017,24(6):588-596.   [点击复制]
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具有扩散耦合偏微分时滞系统的学习跟踪控制
周星宇1, 戴喜生1,2, 汪村1
0
(1.广西科技大学电气与信息工程学院, 广西柳州 545006;2.广西高校工业过程智能控制技术重点实验室, 广西柳州 545006)
摘要:
对具有空间扩散耦合偏微分时滞系统,采用迭代学习控制算法研究其输出轨迹跟踪的问题。基于超向量法对N个具有空间扩散耦合的偏微分时滞系统进行转化,得到与其等价的系统模型,再对该等价的学习系统设计开闭环P型迭代学习控制律,给出了学习系统跟踪误差在L2范数意义下收敛的条件。最后,通过两个具有扩散耦合的偏微分时滞系统的数值仿真,验证了所提出算法和结论的有效性。
关键词:  扩散耦合  迭代学习控制  偏微分系统
DOI:10.13656/j.cnki.gxkx.20171225.003
投稿时间:2017-11-15
基金项目:国家自然科学基金项目(61364006)和广西高校工业过程智能控制技术重点实验室主任基金项目(IPICT-2016-02)资助。
Learning Tracking Control for Partial Differential Time-Delay Systems with Diffusion Coupling
ZHUO Xingyu1, DAI Xisheng1,2, WANG Cun1
(1.School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou, Guangxi, 545006, China;2.Key Laboratory of Industrial Process Intelligent Control Technology of Guangxi Higher Education Institutes, Liuzhou, Guangxi, 545006, China)
Abstract:
In this paper, the problem of system output tracking was studied by using iterative learning control algorithm for partial differential time-delay systems with spatial diffusion coupling.N coupling of partial differential systems with spatial diffusion were transformed into system equivalent description form based on super vector method. Open-closed-loop iterative learning law was designed for the equivalent learning system.The conditions that the learning system tracking error converges under the L2 norm sense were given.Finally,the effectiveness of the proposed algorithm and conclusion was validated by the numerical simulation of two partial differential time-delay systems via diffusion coupling.
Key words:  diffusion coupling  iterative learning control  partial differential systems

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