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一类随机非线性系统的输出反馈全局镇定
引用本文:孙希平,王永骥.一类随机非线性系统的输出反馈全局镇定[J].华中科技大学学报(自然科学版),2007,35(9):88-90,97.
作者姓名:孙希平  王永骥
作者单位:1. 湖北汽车工业学院,电气工程系,湖北,十堰,442002
2. 华中科技大学,控制科学与工程系,湖北,武汉,430074
基金项目:国家自然科学基金 , 湖北省教育厅科研项目 , 湖北汽车工业学院科研计划项目
摘    要:将基于增益观测器的非线性系统输出反馈全局镇定控制器设计方法推广到随机情形,使之适用于一般的随机非线性系统.与已有基于反步法设计的镇定控制器相比,该方法不要求该随机非线性系统满足严格反馈条件,对其噪声向量函数也不要求满足光滑性条件.基于李亚普诺夫第二方法,讨论了所设计的控制器稳定的条件.一个二阶仿真算例表明该控制器设计方法是有效的.

关 键 词:随机非线性系统  输出反馈镇定  高增益观测器  依概率全局渐近稳定  参数调节  随机非线性系统  输出反馈  全局镇定  output  feedback  stochastic  nonlinear  systems  class  仿真算例  二阶  稳定  镇定控制器  李亚普诺夫  光滑性  向量函数  噪声  条件  严格反馈  设计方法  反步法  观测器  增益
文章编号:1671-4512(2007)09-0088-03
修稿时间:2006-01-19

Stabilization of a class of stochastic nonlinear systems by output feedback
Sun Xiping,Wang Yongji.Stabilization of a class of stochastic nonlinear systems by output feedback[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2007,35(9):88-90,97.
Authors:Sun Xiping  Wang Yongji
Institution:1 Department of Electrical Engineering, Hubei Automotive Industries Institute, Shiyan 442002, Hubei China; 2 Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:Global output-feedback stabilization(in probability) of stochastic nonlinear systems was studied.A stabilization method based on high-gain observers,which had been used in the output-feedback stabilization of a class of nonlinear systems,was designed for the global output-feedback stabilization of a class of stochastic nonlinear systems.The stability analysis of the method is given and the method is shown to work should the previously back-stepping based designing method not work.Without limitation of the rigid feedback condition of the stochastic nonlinear systems,the method can be applied to the more general stochastic nonlinear systems,for example,the stochastic nonlinear systems whose vector fields of the interrupting noise is not smooth.The numerical simulations of a second order example illustrate the efficiency of the method.
Keywords:stochastic nonlinear systems  output-feedback stabilization  high-gain observers  asymptotic stability  parameter regulation
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