具阻尼广义Korteweg-de Vries方程的迭代学习控制  

Iterative Learning Control for the Generalized Korteweg-de Vries Equation with a Damping Term

作　　者：明森 李霞 范雄梅 MING Sen;LI Xia;FAN Xiong-mei(Department of Mathematics,North University of China,Taiyuan 030051,China;Data Science and Technology,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学数学系,太原030051 [2]中北大学大数据学院,太原030051

出　　处：《火力与指挥控制》2022年第3期69-72,81,共5页Fire Control & Command Control

基　　金：山西省自然科学基金(201901D211276);山西省基础研究计划基金(20210302123045,20210302124657);中北大学科研创新团队支持计划基金资助项目(TD201901)。

摘　　要：研究了一类具阻尼广义Korteweg-de Vries(KdV)方程的迭代学习控制问题,利用半群理论导出系统状态的表达式及先验估计。若迭代过程中初值允许存在一定偏差,结合P型迭代学习控制算法,证明了跟踪误差在Banach空间■中收敛,并且给出了数值实例。An iterative learning control problem for the generalized Korteweg-de Vries equation with a damping term is studied. Representation and priori estimates of the system states are derived by semigroup theory. If certain errors are permitted in the inital values during the iterative process. The P type iterative learning control algorithms is combined to prove that output tracking errors converge in the Banach space■. An numerical example is presented.

关 键 词：阻尼 广义Korteweg-de Vries 方程 半群理论 迭代学习控制 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]