| 一类不确定高阶非线性系统的有限时间镇定 |
| |
| 引用本文： | 高芳征,谢晶,袁付顺.一类不确定高阶非线性系统的有限时间镇定[J].安徽大学学报(自然科学版),2012(4):13-17. |
| |
| 作者姓名： | 高芳征 谢晶 袁付顺 |
| |
| 作者单位： | 安阳师范学院数学与统计学院;安阳工学院数理学院 |
| |
| 基金项目： | 国家自然科学基金资助项目(60674020,61073065);河南省基础与前沿技术研究计划项目(092300410145);河南省教育厅自然科学基金资助项目(2009B110003,2010B120001) |
| |
| 摘 要： | 研究一类具有未知虚拟控制系数的不确定高阶非线性系统的有限时间镇定问题.基于有限时间稳定的Lyapunov理论和"加幂积分器"技术,显式设计非李普希兹状态反馈控制律,使闭环系统的所有状态全局有限时间收敛到零点.仿真例子验证了论文的主要结论.
|
| 关 键 词： | 高阶非线性系统 加幂积分器 状态反馈 有限时间镇定 |
Finite-time stabilization of a class of uncertain high-order nonlinear systems |
| |
| GAO Fang-zheng,XIE Jing,YUAN Fu-shun.Finite-time stabilization of a class of uncertain high-order nonlinear systems[J].Journal of Anhui University(Natural Sciences),2012(4):13-17. |
| |
| Authors: | GAO Fang-zheng XIE Jing YUAN Fu-shun |
| |
| Institution: | 1(1.School of Mathematics and Statistics,Anyang Normal University,Anyang 455000,China; 2.School of Mathematics and Physics,Anyang Institute of Technology,Anyang 455000,China) |
| |
| Abstract: | In this paper,the problem of global finite-time stabilization was investigated for a class of uncertain high-order nonlinear systems with unknown virtual control coefficients.By using finite-time Lyapunov stability theorem and adding a power integrator technique,a non-Lipchitz continuous state feedback control law was explicitly constructed.The states of close system were regulated to zero in a finite time.And a simulation example was provided to illustrate the effectiveness of the proposed method. |
| |
| Keywords: | high-order nonlinear systems adding a power integrator state feedback finite-time stabilization |
| 本文献已被 CNKI 等数据库收录！ |
