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

被引：4

作者：

Zhang, Zhengqiang ^{[1
]}

Li, Wenjie ^{[1
]}

Ge, Shuzhi Sam ^{[2
,3
]}

机构：

[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China

[2] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore

[3] Qingdao Univ, Inst Future, Qingdao 266071, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2024年 / 69卷 / 12期

基金：

中国国家自然科学基金;

关键词：

time-delay systems; static gain function; Adaptive control; Lyapunov-Krasovskii func- tional; GLOBAL STABILIZATION; FEEDBACK CONTROL; UNCERTAIN; TRACKING; INPUT;

D O I：

10.1109/TAC.2023.3300971

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：8970 / 8977

页数：8

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