基于迭代学习控制的二阶延迟微分系统研究  

Research on 2-order Time-delay Systems Based on Iterative Learning Control

作　　者：詹玉枝 梁成斌 张庆芳[1] HAN Yu-zhi;LIANG Cheng-bin;ZHANG Qing-fang(Electrical Engineering College,Guizhou University,Guiyang,Guizhou 550025,China;College of Electrical and Information Engineering,Hunan University,Changsha,Hunan 410082,China)

机构地区：[1]贵州大学电气工程学院,贵州贵阳550025 [2]湖南大学电气与信息工程学院,湖南长沙410082

出　　处：《计量学报》2020年第3期374-378,共5页Acta Metrologica Sinica

基　　金：贵州省科技厅基金项目(黔科合LH字[2016]7434号)。

摘　　要：针对由二阶延迟微分方程刻画的系统过程,提出应用其基本解阵延迟正、余弦矩阵函数表达的精确解设计迭代学习控制算法来对系统进行输出跟踪控制。给出能使得延迟系统的系统输出随迭代次数增加而收敛到给定期望输出的充分条件,并能由系统重复运行逐步迭代出能使得输出收敛的最优控制输入。数值仿真实验结果表明:设计的迭代算法能使系统输出随迭代次数增加而精确收敛到期望输出,验证了所提方法的有效性。For the process of systems characterized by 2-order delay differential equation,using the exact solution expressed by the delayed matrix sine and cosine an iterative learning control algorithm is designed to control the output of systems tracking to the desired output.A sufficient condition for output of delay systems converge to a given desired output with the increase number of iterations is given.And through iteration,the optimal control input can be obtained.The experimental results of the numerical simulation show that the designed iterative algorithm can make the output of the system converge to the desired output with the increase of the number of iterations,and the validity of the proposed method is verified.

关 键 词：计量学 延迟微分方程 迭代学习控制 迭代算法 收敛性分析 系统控制 

分 类 号：TB973[一般工业技术—计量学]