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非线性系统开闭环PID型迭代学习控制的收敛性分析
引用本文:兰海英,徐刚.非线性系统开闭环PID型迭代学习控制的收敛性分析[J].江西师范大学学报(自然科学版),2006,30(6):560-562.
作者姓名:兰海英  徐刚
作者单位:1. 江西师范大学,数学与信息科学学院,江西,南昌,330027
2. 南昌大学,数学系,江西,南昌,330047
摘    要:针对一类参数未知非线性的迭代学习控制问题提出了一种开闭环PID型迭代学习控制律,这种迭代学习律同时利用了系统当前的跟踪误差和前次迭代控制的跟踪误差修正控制作用,给出了迭代学习控制算法收敛的充分性条件.分析表明,所给出的迭代学习控制律推广了现有的结果.

关 键 词:非线性系统  迭代学习  开闭环PID型  收敛性
文章编号:1000-5862(2006)06-0560-03
收稿时间:2006-05-12
修稿时间:2006-05-12

An Open-Closed Loop PID-Type Iterative Learning Control Scheme for Nonlinear Systems and Its Convergence
LAN Hai-ying,XU Gang.An Open-Closed Loop PID-Type Iterative Learning Control Scheme for Nonlinear Systems and Its Convergence[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2006,30(6):560-562.
Authors:LAN Hai-ying  XU Gang
Institution:1. Institute of Mathematics and Infonnatics, Jiangxi Normal University, Nanchang 330027, China; 2. Department of Mathematics, Nangchang University, Nanchang 330047, China
Abstract:In this paper,an open-closed loop PID-type iterative learning control scheme for a class of nonlinear time-varying system with unknown parameters is proposed.In this scheme,the system current tracking error and previous tracking error are both used to update control input meanwhile.Then sufficient conditions for the convergence of the proposed learning scheme are given.The conditions are more general than the known results.
Keywords:nonlinear system  iterative learning  open-closed loop PID-type  convergence
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