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Stability Analysis of Continuous-time Iterative Learning Control Systems with Multiple State Delays
  • ISSN号：0254-4156
  • 期刊名称：《自动化学报》
  • 时间：0
  • 分类：TP271[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]The Seventh Research Division, Beihang University (BUAA), Beijing 100083, P. R. China, [2]Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, School of Computer Science and Technology, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China, [3]School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, P. R. China
  • 相关基金：Supported by National Basic Research Program of China （973 Program） （2005CB321902）; National Natural Science Foundation of China （60727002 60774003 60921001 90916024）; the Commission on Science Technology and Industry for National Defense （A2120061303）; the Doctoral Program Foundation of Ministry of Education of China （20030006003）; the Innovation Foundation of BUAA for Ph.D. Graduates
作者： MENG De-Yuan[1], JIA Ying-Min[1], DU Jun-Ping[2], YU Fa-Shan[3]
关键词： 连续系统, 稳定性, 自动化, TDS, Iterative learning control （ILC）, time-delay systems, monotonic convergence, 2-D system theory, robust H∞ control theory, linear matrix inequality （LMI）
中文摘要：

这份报纸论述为有多重状态的连续时间的系统的问题推迟的反复的学习控制(ILC ) 的稳定性分析，特别当系统参数服从于 polytopic 类型无常时。用二维(2-D ) ILC 的分析途径，连续分离的 Roesser 的类型线性系统被采用与一个膨胀操作员的发展描述时间延期系统(TDS ) 的全部学习动力学。基于如此的 Roesser 系统， 2-D 系统理论首先被用来为 ILC，然后 robustH 控制理论的 asymptotic 稳定性开发一个必要、足够的条件被联合为 ILC 的 monotonic 集中以线性矩阵不平等(LMI ) 提供一个足够的条件。学习获得能由解决 LMI 是坚定的，这被显示出，它保证控制输入错误作为重复的一个函数 monotonically 收敛到零。一个柔韧的 asymptotically 稳定的 ILC 计划能要用体力地变得的模拟结果表演由增加学习满足一套 LMI 的获得的 P 类型 monotonically 会聚，它能也极大地改进集中率。

英文摘要：

This paper presents a stability analysis of the iterative learning control （ILC） problem for continuous-time systems with multiple state delays,especially when system parameters are subject to polytopic-type uncertainties.Using the two-dimensional （2-D） analysis approach to ILC,the continuous-discrete Roesser s type linear systems are employed to describe the entire learning dynamics of time-delay systems （TDS） with the development of an expanding operator.Based on such Roesser systems,the 2-D system theory is first used to develop a necessary and sufficient condition for the asymptotic stability of ILC,and then the robust H∞ control theory is combined to provide a sufficient condition in terms of linear matrix inequalities （LMIs） for the monotonic convergence of ILC.It is shown that learning gains can be determined by solving LMIs,which ensure the control input error converges monotonically to zero as a function of iteration.Simulation results show that a robust asymptotically stable ILC scheme can become robustly monotonically convergent by adding the P-type learning gains that satisfy a set of LMIs,which can also improve the convergence rate greatly.

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期刊信息
  • 《自动化学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国自动化学会 中国科学院自动化研究所
  • 主编：王飞跃
  • 地址：北京东黄城根北街16号
  • 邮编：100717
  • 邮箱：aas@ia.ac.cn
  • 电话：010-64019820
  • 国际标准刊号：ISSN：0254-4156
  • 国内统一刊号：ISSN：11-2109/TP
  • 邮发代号:2-180
  • 获奖情况:
  • 1997年获全国优秀期刊奖,1985、1990、1996、2000年获中国科学院优秀期刊二等奖,2002年获国家期刊奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:27550