Stochastic distribution control of singular systems: output PDF shaping

H. Yue, A.J.A. Leprand, H. Wang

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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
Original languageEnglish
Pages (from-to)151-160
Number of pages10
JournalActa Automatica Sinica
Issue number1
Publication statusPublished - Jan 2005


  • singular systems
  • dynamic stochastic systems
  • probability density function (PDF)
  • B-splines neural networks

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