首页|Data-Driven Learning Control Algorithms for Unachievable Tracking Problems

Data-Driven Learning Control Algorithms for Unachievable Tracking Problems

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For unachievable tracking problems,where the sys-tem output cannot precisely track a given reference,achieving the best possible approximation for the reference trajectory becomes the objective.This study aims to investigate solutions using the P-type learning control scheme.Initially,we demonstrate the neces-sity of gradient information for achieving the best approximation.Subsequently,we propose an input-output-driven learning gain design to handle the imprecise gradients of a class of uncertain systems.However,it is discovered that the desired performance may not be attainable when faced with incomplete information.To address this issue,an extended iterative learning control scheme is introduced.In this scheme,the tracking errors are modified through output data sampling,which incorporates low-memory footprints and offers flexibility in learning gain design.The input sequence is shown to converge towards the desired input,resulting in an output that is closest to the given reference in the least square sense.Numerical simulations are provided to validate the theoretical findings.

Data-driven algorithmsincomplete informationiterative learning controlgradient informationunachievable prob-lems

Zeyi Zhang、Hao Jiang、Dong Shen、Samer S.Saab

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School of Mathematics,Renmin University of China,Beijing 100872,China

School of Engineering,Lebanese American University,Byblos 2038,Lebanon

国家自然科学基金国家自然科学基金北京市自然科学基金Research Fund of Renmin University of China

6217333312271522Z2100022021030187

2024

自动化学报(英文版)
中国自动化学会,中国科学院自动化研究所,中国科技出版传媒股份有限公司

自动化学报(英文版)

CSTPCDEI
ISSN:2329-9266
年,卷(期):2024.11(1)
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