Global finite-time stabilization design for a class of high-order uncertain nonlinear systems  

作　　者：孟桂芝 马克茂 张佳为 

机构地区：[1]Control and Simulation Center,Harbin Institute of Technology [2]Dept.of Applied Mathematics,Harbin University of Science and Technology

出　　处：《Journal of Harbin Institute of Technology(New Series)》2012年第3期77-80,共4页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China (Grant No. 61174001)

摘　　要：The problem of finite-time stabilization for uncertain nonlinear systems is investigated.It is proved that a class of high-order nonlinear systems in the lower-triangular form is globally stabilized via non-Lipschitz continuous state feedback.By using the finite-time Lyapunov stability theorem and the method of non-smooth feedback design,a recursive design procedure is provided,which guarantees the finite-time stability of the closed-loop system.The simulation results show the effectiveness of the theoretical results.The problem of finite-time stabilization for uncertain nonlinear systems is investigated. It is proved that a class of high-order nonlinear systems in the lower-triangular form is globally stabilized via non-Lipschitz continuous state feedback. By using the finite-time Lyapunov stability theorem and the method of non-smooth feedback design, a recursive design procedure is provided, which guarantees the finite-time stability of the closed-loop system. The simulation results show the effectiveness of the theoretical results.

关 键 词：finite-time stability continuous state feedback non-smooth control high-order nonlinear system 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]