摘要
研究了一类高阶非线性系统停息时间可调的有限时间稳定性分析与控制器设计问题．利用有限时间Lyapunov定理的反步构造法，设计状态反馈有限时间控制器，并实现停息时间的适当调整．
The problem of finite-time stabilization is investigated for a class of high-order nonlinear systems. Based on the Lyapunov theory of finite-time stability, by using the backstepping constructive approach, the finite-time controller with adjustable-settling-time is designed and the globally finite-time stability is achieved.
作者
谢晶
刘寅寅
卜春霞
XIE Jing;LIU Ying-ying;BU Chun-Xia(Institute of Mathematics and Physics, Anyang Institute of Technology, Anyang 455000, China;School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450000, China)
出处
《数学的实践与认识》
北大核心
2018年第7期261-265,共5页
Mathematics in Practice and Theory
基金
安阳工学院青年科研基金项目资助(QJJ2015022)
关键词
非线性系统
有限时间镇定
反步构造法
nonlinear systems
finite time stabilization
backstepping constructive approach
