东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2010, Vol. 31 ›› Issue (3): 317-320+329.DOI: -

• 论著 • 上一篇    下一篇

一类时滞随机分布参数系统的模糊控制

董猛;会国涛;刘耕成;   

  1. 东北大学信息科学与工程学院;华东理工大学信息科学与工程学院;
  • 收稿日期:2013-06-20 修回日期:2013-06-20 发布日期:2013-06-20
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60534010,60572070,60774048);;

Fuzzy control of a class of stochastic distributed parameter systems with time delay

Dong, Meng (1); Hui, Guo-Tao (1); Liu, Geng-Cheng (2)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2) School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
  • Received:2013-06-20 Revised:2013-06-20 Published:2013-06-20
  • Contact: Dong, M.
  • About author:-
  • Supported by:
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摘要： 研究了一类新型时滞随机分布参数系统的稳定性问题.首先提出基于Galerkin方法,利用模糊控制理论控制带有多维布朗运动的时滞分布参数系统.然后基于线性矩阵不等式技术,给出了时滞随机分布参数系统稳定的充分条件,所得到的结果表示成线性矩阵不等式的形式,所以易于验证.最后,仿真实例说明了本方法的有效性.

关键词: 分布参数系统, 渐近稳定, Galerkin方法, 模糊控制, 随机, 线性矩阵不等式

Abstract: The stabilization of a class of new-type stochastic distributed parameter system (SDPS) with time delay is studied. The control of distributed parameter system (DPS) with multidimensional Brownian motion is presented on the basis of Galerkin's method and fuzzy theory. Then, some criteria, i.e., the sufficient conditions, for the asymptotical stability of the system in form of mean square are given by linear matrix inequality (LMI), which can easily be checked by Matlab toolbox. A simulative example is given to show the effectiveness of the proposed method.

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