%0 Journal Article
%T A Finite-time State Feedback Stabilization Method for a Class of Second Order Nonlinear Systems<br>一类二阶非线性系统的有限时间状态反馈镇定方法
%A LI Shi-Hua
%A DING Shi-Hong
%A TIAN Yu-Ping
%A <br>李世华
%A 丁世宏
%A 田玉平
%J 自动化学报
%D 2007
%I 
%X The finite-time feedback stabilization problem of a class of second-order nonlinear systems is discussed. Three kinds of global finite-time feedback stabilization approaches based on continuous state feedback are given. First, using homogeneous properties of nonlinear homogeneous systems, a state feedback controller is designed to guarantee that the closed loop system is asymptotically stable and satisfies negative homogeneity. Second, using backstepping constructive approach based on finite-time Lyapunov function, a finite-time controller is developed. Finally, using nonsingular terminal sliding mode technology, a feedback stabilizing controller which can make the closed loop system converge to equilibrium in finite time is given. Simulation results are provided to demonstrate the effectiveness of these approaches.
%K Nonlinear systems
%K finite-time control
%K finite-time stability
%K feedback stabilization<br>非线性系统
%K 有限时间控制
%K 有限时间稳定性
%K 反馈镇定
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=763DAC5E6149CA14&yid=A732AF04DDA03BB3&vid=27746BCEEE58E9DC&iid=CA4FD0336C81A37A&sid=74011071555EB4E5&eid=DBF54A8E2A721A6D&journal_id=0254-4156&journal_name=自动化学报&referenced_num=2&reference_num=15