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作者:

Zhang, Zhenning (Zhang, Zhenning.) | Sun, Huafei (Sun, Huafei.) | Peng, Linyu (Peng, Linyu.) | Jiu, Lin (Jiu, Lin.)

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Scopus SCIE

摘要:

In this paper, we propose a steepest descent algorithm based on the natural gradient to design the controller of an open-loop stochastic distribution control system (SDCS) of multi-input and single output with a stochastic noise. Since the control input vector decides the shape of the output probability density function (PDF), the purpose of the controller design is to select a proper control input vector, so that the output PDF of the SDCS can be as close as possible to the target PDF. In virtue of the statistical characterizations of the SDCS, a new framework based on a statistical manifold is proposed to formulate the control design of the input and output SDCSs. Here, the Kullback-Leibler divergence is presented as a cost function to measure the distance between the output PDF and the target PDF. Therefore, an iterative descent algorithm is provided, and the convergence of the algorithm is discussed, followed by an illustrative example of the effectiveness.

关键词:

Kullback-Leibler divergence natural gradient algorithm stochastic distribution control system

作者机构:

  • [ 1 ] [Zhang, Zhenning]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 2 ] [Sun, Huafei]Beijing Inst Technol, Dept Math & Stat, Beijing 100081, Peoples R China
  • [ 3 ] [Peng, Linyu]Waseda Univ, Dept Appl Mech & Aerosp Engn, Shinjuku Ku, Tokyo 1698555, Japan
  • [ 4 ] [Peng, Linyu]Waseda Univ, Res Inst Nonlinear PDEs, Shinjuku Ku, Tokyo 1698555, Japan
  • [ 5 ] [Jiu, Lin]Tulane Univ, Dept Math, New Orleans, LA 70118 USA

通讯作者信息:

  • [Sun, Huafei]Beijing Inst Technol, Dept Math & Stat, Beijing 100081, Peoples R China

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来源 :

ENTROPY

年份: 2014

期: 8

卷: 16

页码: 4338-4352

2 . 7 0 0

JCR@2022

ESI学科: PHYSICS;

ESI高被引阀值:151

JCR分区:2

中科院分区:3

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

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