一类高阶非线性系统停息时间可调的有限时间镇定  

Finite Time Stabilization of a Class of High-order Nonlinear Systems with Adjustable-settling-time

作　　者：谢晶[1] 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)

机构地区：[1]安阳工学院数理学院,河南安阳455000 [2]郑州大学数学与统计学院,河南郑州450000

出　　处：《数学的实践与认识》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)

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.

关 键 词：非线性系统 有限时间镇定 反步构造法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]