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Author:

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

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Kullback-Leibler divergence stochastic distribution control system natural gradient algorithm

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

ENTROPY

Year: 2014

Issue: 8

Volume: 16

Page: 4338-4352

2 . 7 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:202

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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