非线性系统闭环PD型迭代学习收敛性分析

广东工业大学学报 ›› 2006, Vol. 23 ›› Issue (2): 42-47.

非线性系统闭环PD型迭代学习收敛性分析

西北工业大学自动化学院；西安理工大学机仪学院；西北工业大学自动化学院陕西西安710072；陕西西安710048；陕西西安710072；

出版日期:2006-04-06 发布日期:2006-04-06

A Closed-Loop PD-Type Iterative Learning Control Scheme for Nonlinear Systems and Its Convergence

(1.lnstitute of Automatic Engineering,Northwest Polytechnic University,Xi’an 710072,China;2.School of Mechanical and Precision Instrument Engineering,Xi’an University of Technology,Xi’an 710048,China)

Online:2006-04-06 Published:2006-04-06

摘要/Abstract

摘要： 提出并证明了非线性系统采用闭环PD型学习律时迭代学习控制的收敛充分条件、必要条件和充分必要条件,并指出其收敛性仅与D型学习增益有关,而与P型学习律的学习增益无关,且收敛性与状态方程的具体形式无关.

关键词: 迭代学习；收敛性；非线性系统；闭环PD型学习律；

Abstract: A closed-loop PD-type iterative learning control scheme for nonlinear systems is proposed in this paper,and sufficient and necesary conditions for the convergence of the proposed learning scheme are given.The convergence of the proposed learning scheme is just related to D-type learning gain,and is independent of P-type learning gain and the idiographic form of state functions.

Key words: iterative learning； convergence； nonlinear system； closed-loop PD-type；

惠阿丽；郑建明；孙瑜； . 非线性系统闭环PD型迭代学习收敛性分析[J]. 广东工业大学学报, 2006, 23(2): 42-47.

HUI A-li~1,ZHENG Jian-ming~2,SUN Yu~1. A Closed-Loop PD-Type Iterative Learning Control Scheme for Nonlinear Systems and Its Convergence[J]. Journal of Guangdong University of Technology, 2006, 23(2): 42-47.

参考文献

[1] 林辉,王林. 非线性系统闭环P型迭代学习控制的收敛性[J]. 控制理论与应用. 1995(06)

[2] 于乃润,万百五. 工业过程稳态优化中的PD型迭代学习控制[J]. 西北纺织工学院学报. 1995(03)

[3] 曾南,应行仁. 非线性系统迭代学习算法[J]. 自动化学报. 1992(02)

[1] 林辉,王林著.迭代学习控制理论[M]. 西北工业大学出版社, 1998

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