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Stochastic Distribution Control of Singular Systems: Output PDF Shaping
作者姓名:H.YUE  A.J.A.LEPRAND  H.WANG
作者单位:1.Institute of Automation, Chinese Academy of Sciences, Beijing 100080 P.R.China
基金项目:Supported by the Research Fund of Chinese Academy of Sciences (2004-1-4)
摘    要:This paper presents a new algorithm designed to control the shape of the output probability density function (PDF) of singular systems subjected to non-Gaussian input. The aim is to select a control input uk such that the output PDF is made as close as possible to a given PDF. Based on the B-spline neural network approximation of the output PDF, the control algorithm is formulated by extending the developed PDF control strategies of non-singular systems to singular systems. It has been shown that under certain conditions the stability of the closed-loop system can be guaranteed. Simulation examples are given to show the effectiveness of the proposed control algorithm.

关 键 词:Singular  systems    dynamic  stochastic  systems    probability  density  function  (PDF)    B-splines  neural  networks
收稿时间:2004-5-2
修稿时间:2004-9-22

Stochastic Distribution Control of Singular Systems: Output PDF Shaping
H.YUE,A.J.A.LEPRAND,H.WANG.Stochastic Distribution Control of Singular Systems: Output PDF Shaping[J].Acta Automatica Sinica,2005,31(1):151-160.
Authors:HYUE  AJALEPRAND  HWang
Affiliation:1.Institute of Automation, Chinese Academy of Sciences, Beijing 100080 P.R.China
Abstract:This paper presents a new algorithm designed to control the shape of the output probability density function (PDF) of singular systems subjected to non-Gaussian input. The aim is to select a control input uk such that the output PDF is made as close as possible to a given PDF. Based on the B-spline neural network approximation of the output PDF, the control algorithm is formulated by extending the developed PDF control strategies of non-singular systems to singular systems. It has been shown that under certain conditions the stability of the closed-loop system can be guaranteed. Simulation examples are given to show the effectiveness of the proposed control algorithm.
Keywords:Singular systems  dynamic stochastic systems  probability density function (PDF)  B-splines neural networks
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