Shaping of output PDF based on the rational square-root b-spline model

J. Zhou, H. Yue, H. Wang

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

This paper presents a new method for the modeling and control of the output probability density functions (PDFs) of linear stochastic systems. At first, a new PDF approximation method, namely the rational square-root B-spline model is proposed and the innovative concept of pseudoweights is introduced. The new model is then compared with the existing B-spline models in terms of feasible domains. Next, a controller is developed to realize the output PDF tracking performance. An alternative minimal entropy control strategy is also provided for the case that no target PDF is available. Finally, illustrative examples indicate the effectiveness of the proposed algorithms.
LanguageEnglish
Pages343-351
Number of pages9
JournalActa Automatica Sinica
Volume31
Issue number3
Publication statusPublished - 2005

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Splines
Probability density function
Stochastic systems
Entropy
Controllers

Keywords

  • dynamic stochastic systems
  • probability density function (PDF)
  • B-spline neural network
  • robust control
  • minimum entropy control

Cite this

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abstract = "This paper presents a new method for the modeling and control of the output probability density functions (PDFs) of linear stochastic systems. At first, a new PDF approximation method, namely the rational square-root B-spline model is proposed and the innovative concept of pseudoweights is introduced. The new model is then compared with the existing B-spline models in terms of feasible domains. Next, a controller is developed to realize the output PDF tracking performance. An alternative minimal entropy control strategy is also provided for the case that no target PDF is available. Finally, illustrative examples indicate the effectiveness of the proposed algorithms.",
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Shaping of output PDF based on the rational square-root b-spline model. / Zhou, J.; Yue, H.; Wang, H.

In: Acta Automatica Sinica, Vol. 31, No. 3, 2005, p. 343-351.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Shaping of output PDF based on the rational square-root b-spline model

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AU - Yue, H.

AU - Wang, H.

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AB - This paper presents a new method for the modeling and control of the output probability density functions (PDFs) of linear stochastic systems. At first, a new PDF approximation method, namely the rational square-root B-spline model is proposed and the innovative concept of pseudoweights is introduced. The new model is then compared with the existing B-spline models in terms of feasible domains. Next, a controller is developed to realize the output PDF tracking performance. An alternative minimal entropy control strategy is also provided for the case that no target PDF is available. Finally, illustrative examples indicate the effectiveness of the proposed algorithms.

KW - dynamic stochastic systems

KW - probability density function (PDF)

KW - B-spline neural network

KW - robust control

KW - minimum entropy control

M3 - Article

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SP - 343

EP - 351

JO - Acta Automatica Sinica

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JF - Acta Automatica Sinica

SN - 1874-1029

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