东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (4): 479-483.DOI: -

• 论著 • 上一篇    下一篇

一类时滞随机分布系统的跟踪控制

浮洁;张化光;王迎春;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2009-04-15 发布日期:2013-06-22
  • 通讯作者: Fu, J.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60534010;60572070;60521003;60774048;60728307)

Tracking control of a class of delay stochastic distribution system

Fu, Jie (1); Zhang, Hua-Guang (1); Wang, Ying-Chun (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-04-15 Published:2013-06-22
  • Contact: Fu, J.
  • About author:-
  • Supported by:
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摘要： 针对一类具有输入时滞的非高斯随机分布系统,提出了基于广义PI控制器的跟踪控制方法.首先采用B样条模型和非线性权模型来建立概率密度函数和控制输入之间的关系,从而将概率密度函数的跟踪问题转化成动态权值的跟踪问题.然后基于线性矩阵不等式技术设计PI控制器,给出了时滞随机分布系统稳定的充分条件,并保证了良好的跟踪性能.最后仿真结果说明了方法的有效性.

关键词: 随机分布系统, 概率密度函数, B样条模型, 广义PI跟踪控制, 输入时滞

Abstract: Based on a generalized PI controller, a tracking control approach is proposed to the control of non-Gaussian stochastic distribution systems with input delay. Introducing the B-spline expansion and nonlinear dynamic weight delay model to establish the relation between probability density function (PDF) and control input, the problem of PDF tracking control is transformed into that of nonlinear dynamic weight tracking control. Then, based on linear matrix inequality (LMI) technique, the sufficient condition for stochastic distribution systems with time delay is derived to ensure the tracking performance. Simulation results show the effectiveness of the proposed approach.

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