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Data-Driven Finite-Iteration Learning Control

delete2024-09-01
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PRE
AI
R
Ronghu Chi *
刘志卿 封面图
刘志卿 (Zhiqing Liu)
N
Na Lin
Z
Zhongsheng Hou
B
Biao Huang
DOI:10.1109/TSMC.2024.3405544delete
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摘要

摘要

En 中文
This article develops a novel data-driven finite-iteration learning control (DDFILC) for the nonlinear repetitive systems that are stable for the finite operation length. Both the error range and the finite-iteration number can be designated beforehand by considering the efficiency and economy of the industrial processes. As a result, not only can the proposed DDFILC guarantee the desired product quality but also can reduce the operation cost. First, a linear data model (LDM) is constructed to reformulate the system dynamics that satisfies the Lipschitz continuity condition. Then, an iterative updating law of the DDFILC is developed for estimating the unknown parameter of the LDM. The proportional-differential type learning law used in the DDFILC has two iteration-time-varying learning gains, both of which are updated according to the linear matrix inequality conditions. Not only the finite-iteration convergence but also the iteratively asymptotic convergence can be shown mathematically by using the two-dimensional (2-D) system theory. The proposed DDFILC approach does not require an exact model and is robust to uncertainties. The simulation study verifies the results.
Keyword:
Convergence
Costs
Time-varying systems
Quality assessment
Product design
Linear matrix inequalities
Data models
Data driven control
finite-iteration convergence
iterative learning control (ILC)
linear matrix inequality
two-dimensional (2-D) system theory

期刊

IEEE Transactions on Cybernetics 封面图
IEEE Transactions on Cybernetics
IF:
10.5
论文数:
1.1W
被引数:
5.0W

机构

Q
Qingdao University
学者数:
3.1W
论文数: 2.1W
被引数: 3.7W
U
university of alberta
学者数:
5.1W
论文数: 4.9W
被引数: 65
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