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.
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 efficiendy of the method.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第9期88-90,97,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(60674105)
湖北省教育厅科学技术研究项目(D200723001)
湖北汽车工业学院科研计划项目(2004X094)
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
stochastic nonlinear systems
output-feedback stabilization
high-gain observers
asymptotic stability
parameter regulation
