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A Probabilistically Quantized Learning Control Framework for Networked Linear Systems

delete2022-12-01
delete25
PRE
AI
D
Dong Shen *
N
Niu Huo
S
Samer S. Saab
DOI:10.1109/TNNLS.2021.3085559delete
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摘要

摘要

En 中文
In this article, we consider quantized learning control for linear networked systems with additive channel noise. Our objective is to achieve high tracking performance while reducing the communication burden on the communication network. To address this problem, we propose an integrated framework consisting of two modules: a probabilistic quantizer and a learning scheme. The employed probabilistic quantizer is developed by employing a Bernoulli distribution driven by the quantization errors. Three learning control schemes are studied, namely, a constant gain, a decreasing gain sequence satisfying certain conditions, and an optimal gain sequence that is recursively generated based on a performance index. We show that the control with a constant gain can only ensure the input error sequence to converge to a bounded sphere in a mean-square sense, where the radius of this sphere is proportional to the constant gain. On the contrary, we show that the control that employs any of the two proposed gain sequences drives the input error to zero in the mean-square sense. In addition, we show that the convergence rate associated with the constant gain is exponential, whereas the rate associated with the proposed gain sequences is not faster than a specific exponential trend. Illustrative simulations are provided to demonstrate the convergence rate properties and steady-state tracking performance associated with each gain, and their robustness against modeling uncertainties.
Keyword:
Quantization (signal)
Probabilistic logic
Convergence
Learning systems
Uncertainty
Linear systems
Additives
Channel noise
learning gain design
performance analysis
probabilistic quantizer
quantized learning control (QLC)
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期刊

IEEE Transactions on Neural Networks and Learning Systems 封面图
IEEE Transactions on Neural Networks and Learning Systems
IF:
8.9
论文数:
7.6K
被引数:
7.2W

机构

R
Renmin University of China
学者数:
8.1K
论文数: 7.7K
被引数: 1.1W
L
Lebanese American University
学者数:
3.0K
论文数: 3.0K
被引数: 6.9K
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