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Data-Driven Indirect Iterative Learning Control

delete2024-03-01
delete10
PRE
AI
R
Ronghu Chi *
H
Huaying Li
N
Na Lin
B
Biao Huang
DOI:10.1109/TCYB.2022.3232136delete
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Abstract

Abstract

En 中文
In this work, a data-driven indirect iterative learning control (DD-iILC) is presented for a repetitive nonlinear system by taking a proportional-integral-derivative (PID) feedback control in the inner loop. A linear parametric iterative tuning algorithm for the set-point is developed from an ideal nonlinear learning function that exists in theory by utilizing an iterative dynamic linearization (IDL) technique. Then, an adaptive iterative updating strategy of the parameter in the linear parametric set-point iterative tuning law is presented by optimizing an objective function for the controlled system. Since the system considered is nonlinear and nonaffine with no available model information, the IDL technique is also used along with a strategy similar to the parameter adaptive iterative learning law. Finally, the entire DD-iILC scheme is completed by incorporating the local PID controller. The convergence is proved by applying contraction mapping and mathematical induction. The theoretical results are verified by simulations on a numerical example and a permanent magnet linear motor example.
Keywords:
Iterative methods
Tuning
Data models
Autoregressive processes
Nonlinear systems
Adaptive control
Numerical models
Data-driven control
iterative learning control (ILC)
nonlinear nonaffine systems
proportional-integral-derivative (PID) feedback controller
set-point tuning

Journal

IEEE Transactions on Cybernetics cover
IEEE Transactions on Cybernetics
IF:
10.5
Papers:
1.1W
Citations:
5.0W

Organization

Z
zhejiang university
Scholars:
17.5W
Papers: 12.0W
Citations: 152