一类非线性系统的局部镇定

董亚丽;齐玉峰

系统科学与数学 ›› 2007, Vol. 27 ›› Issue (2) : 265-272.

PDF(309 KB)
PDF(309 KB)
系统科学与数学 ›› 2007, Vol. 27 ›› Issue (2) : 265-272. DOI: 10.12341/jssms08362
论文

一类非线性系统的局部镇定

    董亚丽,齐玉峰
作者信息 +

The Local Stabilization of a Class of Nonlinear Systems

    Dong Yali , Qi Yufeng
Author information +
文章历史 +

摘要

研究一类非线性系统的局部状态反馈镇定问题. 基于中心流形理论, 给出一类非线性系统渐近镇定的充分条件, 并设计出镇定系统的反馈控制律. 文中利用具有齐次导数的Lyapunov 函数方法, 特别研究了一类平面非线性系统及具有二重零特征值的一类非线性系统的渐近镇定问题, 给出了系统镇定的若干充分条件, 并构造出控制律. 文中的例表明了所得结果的有效性.

Abstract

In this paper, the problem of local state feedback stabilization of a class of nonlinear systems is considered. Based on the center manifold theory, a sufficient condition of asymptotical stabilization of a class of nonlinear systems is given, and the control law, which stabilizes the nonlinear systems, is designed. Using the method of Lyapunov function with homogenous derivative, we investigate specially the problem of the stabilization for a class of planar nonlinear systems and a class of nonlinear systems with zero eigenvalue of multiplicity 2, respectively. Some sufficient conditions for stabilization are established, and the control laws are constructed. Some examples are given which show the validity of the results.

关键词

非线性系统 / 镇定 / 中心流形 / Lyapunov函数

Key words

Nonlinear systems / stabilization / center manifold / Lyapunov function

引用本文

导出引用
董亚丽 , 齐玉峰. 一类非线性系统的局部镇定. 系统科学与数学, 2007, 27(2): 265-272. https://doi.org/10.12341/jssms08362
Dong Yali , Qi Yufeng. The Local Stabilization of a Class of Nonlinear Systems. Journal of Systems Science and Mathematical Sciences, 2007, 27(2): 265-272 https://doi.org/10.12341/jssms08362
中图分类号: 93D15   
PDF(309 KB)

210

Accesses

0

Citation

Detail

段落导航
相关文章

/