受扰动2-D线性时变系统的迭代学习控制  

Iterative learning control for disturbed 2-D linear time varying systems

作　　者：黄彧伟[1] 张国山[1] 

机构地区：[1]天津大学电气与自动化工程学院,天津300072

出　　处：《控制理论与应用》2007年第6期999-1004,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60674019).

摘　　要：利用2-D系统理论的Roesser模型,给出了受扰动的线性时变离散系统迭代学习控制(ILC)问题的一种解决方法.对系统所受的已知扰动,给出其学习律参数的选取范围以及仅经一次迭代就能实现输出完全跟踪期望轨迹的参数选取方法;对系统所受的未知扰动,首先对SISO系统提出其学习律存在的条件及参数选取方法,进而推广到MIMO系统中,提出MIMO系统学习律的参数选取方法.最后给出两个数值例子进一步说明所得结果的有效性.An approach to solve iterative learning control （ILC） for linear time-variant discrete systems is given by using Roesser-type model of the two-dimensional （2-D） system theory. Firstly, for the system with known disturbances, the scope of ILC rule＇s parameters and the way to choose the parameters that insures the output following the desired trajectory by only one iteration are provided. Secondly, for the system with unknown disturbances, the existing condition of the SISO system ILC rule and the method for choosing the parameters are given. These results are then extended to the MIMO systems, and the way to choose the parameters of ILC rules for the MIMO systems is also given. Finally, two numerical examples are presented to illustrate the proposed results.

关 键 词：线性时变系统 迭代学习控制 学习律 ROESSER模型 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]