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
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 stabilizationKey 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 )