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基于参数设计的严格前馈时滞非线性系统的全局渐近稳定

田嘉宁 蒋蒙蒙

聊城大学学报(自然科学版)2025,Vol.38Issue(5):643-653,11.
聊城大学学报(自然科学版)2025,Vol.38Issue(5):643-653,11.DOI:10.19728/j.issn1672-6634.2024110013

基于参数设计的严格前馈时滞非线性系统的全局渐近稳定

Global asymptotic stabilization of strict-feedforward nonlinear time-delay systems based on parametric design

田嘉宁 1蒋蒙蒙1

作者信息

  • 1. 聊城大学数学科学学院,山东聊城 252059
  • 折叠

摘要

Abstract

The problem of global asymptotic stabilization is investigated for a class of strict-feedforward nonlinear systems where the integrator,nonlinear function,and input all containing time delays.To address this issue,a novel parameter-dependent state feedback controller is designed to ensure that the equilibrium point of the closed-loop system is globally asymptotically stable.Initially,a parameter-incor-porated coordinate transformation is introduced to the considered time-delay system,and an appropriate Lyapunov function is constructed.Subsequently,by employing stability criteria for time-delay systems,a suitable Lyapunov-Krasovskii functional is provided to prove the global asymptotic stability of the time-de-lay system.Finally,simulation results are presented to demonstrate the effectiveness of the parameter-de-pendent state feedback controller.

关键词

严格前馈非线性系统/时间延迟/全局渐近稳定/状态反馈

Key words

strict-feedforward nonlinear systems/time delays/global asymptotic stabilization/state feed-back

分类

信息技术与安全科学

引用本文复制引用

田嘉宁,蒋蒙蒙..基于参数设计的严格前馈时滞非线性系统的全局渐近稳定[J].聊城大学学报(自然科学版),2025,38(5):643-653,11.

基金项目

国家自然科学基金项目(62103175)资助 (62103175)

聊城大学学报(自然科学版)

1672-6634

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