Research on Open-Loop PD-Type Iterative Learning Control with Adaptive Learning

Abstract

Abstract:

A kind of open-loop PD-type iterative learning control adaptive learning algorithm is put forward to against PD type iterative learning control algorithm convergence slow and low convergence accuracy problem in the paper. The algorithm integrates adaptive learning and open-loop PD-type learning law, the adaptive factor is used to optimize the learning rate and its convergence is proved through mathematic method. The simulation validates the validity of the algorithm.

Key words: Nonlinear system, iterative learning control, PD type learning algorithm, adaptive learning algorithm

CLC Number:

TP13

Hao Xiaohong,Zhou Bo. Research on Open-Loop PD-Type Iterative Learning Control with Adaptive Learning[J]. Journal of Electrical Engineering, 2015, 10(10): 15-20.

Figures/Tables 2

References 13

[1]	Arimoto S . Learning control theory for robotic motion[J]. International Journal of Adaptive Control and Signal Processing, 1990,4(6):543-564. doi: 10.1177/2055668318793585 pmid: 31191950
[2]	孙明轩, 黄宝建 . 迭代学习控制[M]. 北京: 国防工业出版社, 1999.
[3]	林辉, 王林 . 迭代学习控制理论[M]. 西安: 西北工业大学出版社, 1998.
[4]	孙明轩 . 反馈辅助PD型迭代学习控制:初值问题及修正策略[J]. 自动化学报, 2015,41(1):157-164. doi: 10.16383/j.aas.2015.c140133
	Sun Mingxuan, Bi Hongbo, Zhou Guoliang , et al. Feedback-aided PD-type iterative learning control: initial condition problem and rectifying strategies[J]. ACTA AUTOMATICA SINICA, 2015,41(1):157-164. doi: 10.16383/j.aas.2015.c140133
[5]	孙瑜, 李志安 . 一类含控制时滞非线性系统在任意初值下的开环PD型迭代学习控制[J]. 测控技术, 2009,28(8):51-57.
	Sun Yu, Li Zhian . Open-loop PD-type iterative learning control for a class of nonlinear systems with control delay and arbitrary initial value[J]. Measurement and Control Technology, 2009,28(5):51-57.
[6]	杨红 . 带遗忘因子的PD型迭代学习控制算法研究[J]. 暨南大学学报(自然科学版), 2013,34(1):27-30.
	Yang Hong . PD-type iterative learning control algorithm research with forgetting factor[J]. Journal of Jinan University (Natural Science, 2013,34(1):27-30.
[7]	曹伟, 戴学丰 . 具有初态学习的闭环PD型迭代学习控制[J]. 武汉理工大学学报, 2010,32(2):98-102.
	Cao Wei, Dai Xuefeng . Closed-loop PD-type iterative learning control with initial state learning[J]. Journal of Wuhan University of Technology, 2010,32(2):98-102.
[8]	武瑞兵 . 采用RBF网络补偿的直线电动机迭代学习控制[J]. 电气应用, 2015,34(8):57-59.
	Wu Ruibing . A linear motor iterative learning control based on RBF network compensation[J]. Electric Control, 2015,34(8):57-59.
[9]	杨晓峰, 樊晓平, 杨胜跃 , 等. 非线性系统开闭环PD型迭代学习控制及其在机器人中的应用[J]. 长沙铁道学院学报, 2002,20(1):78-84.
	Yang Xiaofeng, Fan Xiaoping, Yang Shengyue , et al. Open-closed loop PD-type iterative learning control for nonlinear system and its application in robot[J]. Journal of Changsha Railway University, 2002,20(1):78-84.
[10]	Feng Z F, Zhang Z J, Pi D Y. Open-closed-loop PD-type iterative learning controller for nonlinear controller for nonlinear systems and its convergence [C]. Congress on Intelligent Control and Automation, 2004: 1241-1245.
[11]	吴敬兵, 罗安 , 等. 混合有源电力滤波器的新型电流迭代学习控制[J]. 电工技术学报, 2012,27(8):133-140.
	Wu Jingbing, Luo An , et al. A novel iterative learning control for current tracking of hybrid active power filter[J]. Transaction of China Electrotechnical Society, 2012,27(8):133-140.
[12]	杨俊友, 刘永恒 . 基于迭代学习与小波滤波器的永磁直线伺服系统扰动抑制[J]. 电工技术学报, 2013,28(3):87-92.
	Yang Junyou, Liu Yongheng . Disturbance rejection for PMLSM based on iterative learning control and wavelet filter[J]. Transaction of China Electrotechnical Society, 2013,28(3):87-92.
[13]	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 Ali, Zhen Jianming, Sun Yu . 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.