| Stabilization of nonlinear systems based on robust control Lyapunov function |
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| 作者姓名： | 蔡秀珊 韩正之 吕干云 |
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| 作者单位： | 1.College of Mathematics Physics，and Information Engineering，Zhejiang Normal University，Jinhua 321004，China.2.School of Electric and Information Engineering，Shanghai Jiaotong University，Shanghai 200030，China College of Mathematics，Physics，and Informati |
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| 基金项目： | Sponsored by the Natural Science Foundation of Zhejiang Province in China（ Grant No. Y105141 ）. |
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| 摘 要： | ~~Stabilization of nonlinear systems based on robust control Lyapunov function@蔡秀珊$College of Mathematics,Physics,and Information Engineering,Normal University!Jinhua 321004,China
@韩正之$School of Electric and Information Engineering,Shanghai Jiaoto
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| 关 键 词： | 鲁棒控制 结构不稳定性 李雅普诺夫函数 非线性控制 |
| 文章编号： | 1005-9113（2007）01-0130-04 |
| 收稿时间： | 2004-03-30 |
Stabilization of nonlinear systems based on robust control Lyapunov function |
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| CAI Xiu-shan,HAN Zheng-zhi,LU Gan-yun.Stabilization of nonlinear systems based on robust control Lyapunov function[J].Journal of Harbin Institute of Technology,2007,14(1):130-133. |
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| Authors: | CAI Xiu-shan HAN Zheng-zhi LU Gan-yun |
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| Abstract: | This paper deals with the robust stabilization problem for a class of nonlinear systems with structural uncertainty.Based on robust control l.yapunov function,a sufficient and necessary condition for a function to be a robust control Lyapunov function is given.From this condition,simply sufficient condition for the robust stabilization(robust practical stabilization)is deduced.Moreover,if the equilibrium of the closed-loop system is u-nique,the existence of such a robust control l.yapunov function will also imply robustly globally asymptotical stabilization.Then a continuous state feedback law can be constructed explicitly.The simulation shows the effectiveness of the method. |
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| Keywords: | structural uncertainty nonlinear systems robust control l yapunov function robustly |
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