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Static Gain Function-Based Adaptive Control for Nonlinear Systems With Unknown Time Delays

delete2024-12-01
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PRE
AI
张正强 (Zhengqiang Zhang) *
W
Wenjie Li
S
Shuzhi Sam Ge
DOI:10.1109/TAC.2023.3300971delete
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摘要

摘要

En 中文
In this article, the problem of global stabilization for a class of nonlinear strict-feedback time-delay systems is addressed by adopting the adaptive parameter estimation method and backstepping technique. The Lyapunov-Krasovskii functionals with static gain functions are designed in each step of the backstepping process. With the help of the sufficiently smooth projection operator, the relationship between the Lyapunov-Krasovskii functional and the previous virtual control laws is established. The memoryless adaptive control scheme guarantees that all the signals of the controlled system are globally uniformly ultimately bounded. An illustrative example is provided to demonstrate the validity of the theoretical result.
Keyword:
time-delay systems
static gain function
Adaptive control
Lyapunov-Krasovskii func- tional
time-delay systems
static gain function

期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

Q
Qufu Normal University
学者数:
7.8K
论文数: 5.8K
被引数: 5.4K
N
National University of Singapore
学者数:
7.6W
论文数: 6.5W
被引数: 11.4W
引用论文

引用论文

A sufficiently smooth projection operator
err2006-01-01
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PREAI
errCai, Z; de Queiroz, MS; Dawson, DM
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