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一类线性连续切换系统的迭代学习控制
引用本文:卜旭辉,侯忠生,余发山.一类线性连续切换系统的迭代学习控制[J].控制理论与应用,2012,29(8):1051-1056.
作者姓名:卜旭辉  侯忠生  余发山
作者单位:1. 河南理工大学电气工程与自动化学院,河南焦作,454000
2. 北京交通大学电子信息工程学院,北京,100044
基金项目:国家自然科学基金资助项目(61203065, 60834001, 61120106009); 河南省教育厅自然科学研究计划资助项目(12A510013); 河南省高等学校控制工程重点学科开放实验室资助项目(KG2011-10).
摘    要:针对有限时间区间内执行重复控制任务的线性连续切换系统,考虑基于迭代学习的跟踪控制问题.假设线性切换系统的切换率在时间域内是任意的,提出该类系统的D型迭代学习控制算法.理论分析表明,当学习增益矩阵满足一定的条件时,D型迭代学习控制算法可以保证切换系统的实际输出在整个运行区间上一致收敛于期望输出,实现完全跟踪控制.数值仿真进一步验证了方法的有效性.

关 键 词:迭代学习控制  切换系统  任意切换率  收敛性
收稿时间:5/2/2012 12:00:00 AM
修稿时间:2012/6/12 0:00:00

Iterative learning control for a class of linear continuous-time switched systems
BU Xu-hui,HOU Zhong-sheng and YU Fa-shan.Iterative learning control for a class of linear continuous-time switched systems[J].Control Theory & Applications,2012,29(8):1051-1056.
Authors:BU Xu-hui  HOU Zhong-sheng and YU Fa-shan
Affiliation:School of Electrical Engineering and Automation, Henan Polytechnic University,School of Electronics and Information Engineering, Beijing Jiaotong University,School of Electrical Engineering and Automation, Henan Polytechnic University
Abstract:The problem of iterative learning control for a class of linear continuous-time switched systems with arbitrary switched rules is considered. It is assumed that the considered switched systems are operated during a finite time interval repetitively, and then the iterative learning control scheme can be introduced. It is also shown that under some given conditions, the D-type iterative learning control law can guarantee the asymptotic convergence of the output error between the desired output and the actual output for the entire time interval through the iterative learning process. And then an example is given to illustrate the effectiveness of the proposed approach.
Keywords:iterative learning control  switched systems  arbitrary switched rules  convergence
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