文献类型：期刊文献

中文题名：一类随机非线性系统的输出反馈镇定

英文题名：Output-Feedback Control of a Class of Stochastic Nonlinear Systems

作者：李武全[1] 井元伟[1] 张嗣瀛[1] 周玉成[2]

第一作者：李武全

通信作者：Li, W.-Q.

机构：[1]东北大学信息科学与工程学院;[2]中国林业科学研究院木材工业研究所

年份：2011

卷号：32

期号：2

起止页码：153-156

中文期刊名：东北大学学报：自然科学版

外文期刊名：Dongbei Daxue Xuebao/Journal of Northeastern University

收录：CSTPCD;;EI(收录号：20111313874455);Scopus(收录号：2-s2.0-79953020876);北大核心:【北大核心2008】；CSCD:【CSCD2011_2012】；

基金：国家自然科学基金资助项目(60774010;10971256;60274009);国家高技术研究发展计划项目(2004AA412030;2010AA101702)

语种：中文

中文关键词：随机非线性系统;标称系统;输出反馈;齐次占优;镇定

外文关键词：stochastic nonlinear system; nominal system; output-feedback; homogeneous domination; stabilization

分类号：TP273

摘要：针对一类随机非线性系统的输出反馈镇定问题,首先利用反推技术和设计有效的观测器,为其对应的标称系统设计稳定的输出反馈控制器;然后通过有效的坐标变换,并选择恰当的高增益参数,利用高增益齐次占优技术,为整个系统设计了光滑的输出反馈控制器.所设计的控制器能够保证闭环系统的平衡点是依概率全局渐近稳定的.上述过程的主要贡献是将现有文献中经常使用的线性增长条件推广到更一般的增长条件,得到更一般化的结果.数值仿真例子验证了控制方案的有效性.
For the output-feedback stabilization of a class of stochastic nonlinear systems,a stabilizing output feedback controller was designed for its corresponding nominal system via backstepping with an effective observer designed.Then,an effective coordinate transformation was introduced with an appropriate high-gain parameter chosen,and a smooth output-feedback controller was designed via the high gain homogeneous domination technique for the whole system,thus ensuring that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability.What the process mentioned above contributes is mainly making the conditions for linear growth as often shown in earlier works more generalizable so as to enable the result to be more general.The efficiency of the output-feedback controller is verified by a numerical simulation as example.