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《Journal of Northeastern University(Natural Science)》 2006-08
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Analysis of Convergence Rate for Iterative Learning Control

PIAO Feng-xian~1,ZHANG Qing-ling~1,WANG Zhe-feng~2(1.School of Sciences,Northeastern University,Shenyang 110004,China;2.Shenyang Institute of Aeronautical Engineering,Shenyang 110004,China.)  
The convergence rate is analyzed for both D-type and P-type learning laws in linear time-invariant control system.A sufficient condition is given by the Frobenius norm and time-weighted norm to guarantee the convergence of D-type and P-type learning laws.Furthermore,the quantitative relation between iterative number and the relation between convergence rate and constraint condition are given.Simultaneously,the approach to choosing the gain matrix for D-type/P-type learning law so as to get highest convergence rates is given by gradient flow and the property of Frobenius norm.Numerical simulation shows the effectiveness of the proposed method.
【Fund】: 国家自然科学基金资助项目(60574011);; 辽宁省普通高校学科带头人基金资助项目(124210)
【CateGory Index】: TP273.22
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【References】
Chinese Journal Full-text Database 2 Hits
1 LI Xing-yi1,XU Yuan2,WANG YI1(1.Advanced Control Systems Lab,Beijing Jiaotong University,Beijing 100044,China;2.School of Computer Science and Telecommunication Engineering,Jiangsu University,Zhenjiang 212013,China);Robustness of open-closed loop PID-type iterative learning control algorithm for nonlinear systems[J];Computer Engineering and Design;2008-24
2 YIN Shui-fang(College of Science,Wuhan University of Science and Technology,Wuhan 430081,China);A CLASS OF 2-ORDER D-TYPE ITERATIVE LEARNING CONTROL FOR LINEAR SYSTEMS WITH MULTIPLE TIME DELAYS[J];Journal of Mathematics;2008-03
【Citations】
Chinese Journal Full-text Database 1 Hits
1 WU DONGNAN CHENG MIAN GAO WEIBING (Beijing University of Aeronautics and Astronautics);LEARNING CONTROL UNDER MULTISTEP MODIFICATION LAW[J];Acta Automatica Sinica;1989-05
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 XIAO Yang, ZHU Fang-lai (Dept. of Computer, Guiling Electronic Industrial College, Guilin 541004, China);Simulation Analysis on P Type Close-Loop Iterative Algorithm of Linear System[J];Ordnance Industry Automation;2006-04
2 Yao Zhongshu Wang Hongfei Yang Chengwu (Nanjing University of Science and Technology, Nanjing, 210094);A SORT OF ITERATIVE LEARNING CONTROL ALGORITHM FOR TRACKING OF ROBOT TRAJECTORY[J];Acta Armamentarii;2004-03
3 Song Zhaoqing Mao Jianqin(School of Science,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);First-order D-type iterative learning control for a class of nonlinear systems[J];Journal of Beijing University of Aeronautics and Astronautics;2005-11
4 LI Zhan-ming,AI Wen-huan,CHEN Ruo-zhu(College of Electrical and Information Engineering,Lanzhou University ofTechnology,Lanzhou 730050,China);Research on iterative learning control scheme for inverted pendulum[J];Transducer and Microsystem Technologies;2008-04
5 YANG Xiao feng,FAN Xiao ping,YANG Sheng yue,HUANG Hao jiang(Research Center for Automation and Engineering,Central South University,Changsha 410075,China);Open-Closed Loop PD-type Iterative Learning Control for Nonlinear System and Its Application in Robot[J];Journal of Changsha Railway University;2002-01
6 Yao Zhongshu Wu Jianrong Yang Chengwu (NanJing University of Science and Technology 210094 China);Neural Network-Based Learning Control and Its Application for Robot[J];Transactions of China Electrotechnical Society;2003-03
7 Li Hongmei Zhang Zhiquan Li Zhongjie (Hefei University of Technology Hefei 230009 China);Torque Ripple Reduction of a Small Power Switched Reluctance Motor Based on Iterative Learning Control[J];Transactions of China Electrotechnical Society;2006-10
8 Huang Haihong (Hefei University of Technology);Iterative Learning Control to Reduce Switched Reluctance Motor's Torque Ripple[J];Electrotechnical Application;2006-07
9 ZHANG Xing-guo1,LIN Hui1,ZHANG Tong2,LU Jiu-li3 (1.College of Automation,Northwestern Polytechnical University,Xi'an 710072,China;2.Military Representative Office of the Navy in Luoyang,Luoyang 417009,China;3.Xi'an Aviation Braking Science and Technology Ltd.,Xi'an 710036,China);Application of iterative learning control in aircraft all-electric braking system[J];Electronics Optics & Control;2008-05
10 ZHANG Xing-guo,LIN Hui,HU Lin(College of Automation,Northwestern Polytechnical University,Xi'an 710072,China);Application of Iterative Learning Control in the Actuator Servo System[J];Journal of Projectiles, Rockets, Missiles and Guidance;2006-04
China Proceedings of conference Full-text Database 7 Hits
1 Sun Mingxuan, He Xiongxiong, Yu Li (College of Information Engineering, Zhejiang University of Technology, Hangzhou 310014);Initial Repositioning Issue in Learning Control[A];[C];2005
2 Zhu Fanglai (Computer Department, Guilin University of Electronic Technology);The Simulation Analysis for D-Type Close-Loop Iterative Learning Control[A];[C];2005
3 Li zheng (Suzhou Vocational University, Suzhou Jiangsu 215011,China);The convergence of a class of 2 order D-type iterative learning control algorithm[A];[C];2005
4 Gao Wei, Sun Mingxuan, Yu Li (College of Information Engineering, Zhejiang University of Technology,Hangzhou 310032);Iterative Learning Control with Bounded Input[A];[C];2005
5 ZHANG Li-ping YANG Fu-wen(1.College of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350002,China;2.College of Electrical Engineering and Automation,Fuzhou University,Fuzhou 350002,China);Iterative learning control algorithm based on general orthogonal polynomials[A];[C];2005
6 Piao Feng-xian Zhang Qing-ling (Institute of Systems Science,Northeastern University,Shenyang 110004);Improved P-type Iterative Learning Control Algorithm for Nonlinear System[A];[C];2006
7 Chi Ronghu~1 Hou Zhongsheng~2 ~1(College of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China) ~2(School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing 100044, China);Iterative Learning Control Scheme with Learning Adaptive Estimate Loop[A];[C];2005
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 XIAO Yang, ZHU Fang-lai (Dept. of Computer, Guiling Electronic Industrial College, Guilin 541004, China);Simulation Analysis on P Type Close-Loop Iterative Algorithm of Linear System[J];Ordnance Industry Automation;2006-04
2 LAN Hai-ying~1,XU Gang~2(1.Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330027,China;2.Department of Mathematics,Nangchang University,Nanchang 330047,China);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);2006-06
3 Yao Zhongshu Wu Jianrong Yang Chengwu (NanJing University of Science and Technology 210094 China);Neural Network-Based Learning Control and Its Application for Robot[J];Transactions of China Electrotechnical Society;2003-03
4 QI Rong,LIN Hui (Automatic Control Department of Northwestern Polytechnical University,Xi'an 710072,China);Study of PID Controller Based on Iterative Learning[J];Aeronautical Computer Technique;2003-03
5 Xie Shengli Xie Zhendong Wei Gang (College of Electronic & Information Engineering, South China Univ. of Tech., Guangzhou 510641);INTERACTIVE LEARNING CONTROL FOR NONLINEAR DISCRETE TIME SYSTEMS[J];JOURNAL OF SOUTH CHINA UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE);1998-12
6 FANG Xue-yi(Department of Mathematics, Zhejiang University, Hangzhou 310027, China);Optimal higher-order algorithm of iterative learning control.[J];Journal of Zhejiang University(Sciences Edition);2005-02
7 Li Biwen1,2 Zheng Luzhou2 Chen Boshan2(1 Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China;2 Department of Mathematics,Hubei Normal University,Huangshi 435002,Hubei China);Analysis of D-type iterative learning control for a class of linear generalized systems[J];Journal of Huazhong University of Science and Technology(Nature Science Edition);2007-05
8 ZHANG Xing-guo,LIN Hui (College of Automatization,Northwestern Polytechnical University,Xi'an 710072,China);Recent Developments and Prospects of Iterative Learning Control Theory[J];Measurement & Control Technology;2006-11
9 CHEN Yang,LIN Hui (Department of Automatic Control, Northwestern Polytechnical University, Xi'an Shan, 710072,China);The Parameters' Fit of Iterative Learning Control Based on Neural Network[J];Computer Simulation;2003-07
10 PI Daoying and SUN Youxian(Institute of Industrial Process Control,National Key Laboratory of Industrial Control Technology,Zhejiang University. Hangzhou, 310027, PRC);An Open-Closed-Loop PI-Type Iterative Learning Control Scheme for Nonlinear Systems and Its Convergence[J];CONTROL THEORY & APPLICATIONS;1998-03
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