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Stabilization of nonlinear systems based on robust control Lyapunov function

CAI Xiu-shan HAN Zheng-zhi LU Gan-yun

哈尔滨工业大学学报(英文版)2007,Vol.14Issue(1):130-133,4.
哈尔滨工业大学学报(英文版)2007,Vol.14Issue(1):130-133,4.

Stabilization of nonlinear systems based on robust control Lyapunov function

Stabilization of nonlinear systems based on robust control Lyapunov function

CAI Xiu-shan 1HAN Zheng-zhi 2LU Gan-yun1

作者信息

  • 1. College of Mathematics, Physics, and Information Engineering, Normal University, Jinhua 321004, China
  • 2. School of Electric and Information Engineering, Shanghai Jiaotong University, Shanghai 200030, China
  • 折叠

摘要

Abstract

This paper deals with the robust stabilization problem for a class of nonlinear systems with structural uncertainty. Based on robust control Lyapunov 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 unique, the existence of such a robust control Lyapunov 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.

关键词

structural uncertainty/nonlinear systems/robust control Lyapunov function/robustly asymptotical stabilization

Key words

structural uncertainty/nonlinear systems/robust control Lyapunov function/robustly asymptotical stabilization

分类

信息技术与安全科学

引用本文复制引用

CAI Xiu-shan,HAN Zheng-zhi,LU Gan-yun..Stabilization of nonlinear systems based on robust control Lyapunov function[J].哈尔滨工业大学学报(英文版),2007,14(1):130-133,4.

基金项目

Sponsored by the Natural Science Foundation of Zhejiang Province in China( Grant No. Y105141 ). ( Grant No. Y105141 )

哈尔滨工业大学学报(英文版)

1005-9113

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