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一类带随机扰动的2D离散系统的鲁棒能稳性分析
引用本文:姚娟,王为群,邹云.一类带随机扰动的2D离散系统的鲁棒能稳性分析[J].北京理工大学学报,2010(S1):73-76.
作者姓名:姚娟  王为群  邹云
作者单位:南京理工大学 自动化学院,江苏,南京 210094;南京理工大学 理学院,江苏,南京 210094;南京理工大学 自动化学院,江苏,南京 210094
摘    要:考虑带有随机扰动的2D离散系统Roesser模型(简称2D RM)鲁棒能稳性问题. 通过求解线性矩阵不等式(LMI),给出了带随机扰动的2D离散系统鲁棒均方渐近稳定的充分条件并且设计出了静态状态反馈控制率. 仿真算例验证了该方法的有效性.

关 键 词:2D离散系统  线性矩阵不等式(LMI)  随机扰动  鲁棒能稳
收稿时间:2010/3/30 0:00:00

Analysis of Robust Stabilization for a Class of 2D Discrete Systems with Stochastic Perturbation
YAO Juan,WANG Wei-qun and ZOU Yun.Analysis of Robust Stabilization for a Class of 2D Discrete Systems with Stochastic Perturbation[J].Journal of Beijing Institute of Technology(Natural Science Edition),2010(S1):73-76.
Authors:YAO Juan  WANG Wei-qun and ZOU Yun
Institution:School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China;School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China;School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China
Abstract:This paper discusses the problem of robust stabilization for a class of 2D Roesser models(RM) with stochastic perturbation. Mean-square asymptotic stability is derived and a desired state feedback controller can also be derived by means of linear matrix inequality (LMI) technique. Finally, a numerical example is provided to demonstrate the applicability of the proposed approach.
Keywords:2D discrete systems  linear matrix inequality  stochastic perturbation  stabilization
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