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作者:

Zhang Zhenning (Zhang Zhenning.) | Zhao Xu (Zhao Xu.) | Zhou Juntong (Zhou Juntong.)

收录:

CPCI-S

摘要:

An information geometric algorithm is proposed to control the shape of the conditional output probability density function for stochastic distribution control systems. The considered system is of multi-input and multi-output with stochastic noises and a output feedback vector. Based on the assumption that the probability density function of the stochastic noise is known, we obtain the conditional output probability density function using the probability theories, whose shape can be considered to be determined by the control input vector and the output feedback vector. The set of the conditional output probability density function forms a manifold(M), and the control input and the output feedback can be considered as the coordinate system from the viewpoint of information geometry. The Kullback-Leibler divergence acts as the distance between the conditional output probability density function and the target probability density function, and can be considered as an error function. For the output feedback vector is known, our propose is to design the control input vector to make the conditional output probability density function as close as possible to the given one. Thus, an iterative formula for the control input vector is proposed in the sense of information geometry. Finally, an illustrative example is utilized to demonstrate the effectiveness of the algorithm.

关键词:

Differentiable Manifold Information Geometry Kullback-Leibler Divergence Stochastic Distribution Control

作者机构:

  • [ 1 ] [Zhang Zhenning]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Zhao Xu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Zhou Juntong]Beijing Univ Technol, Coll Elect Informat & Control Engn, Beijing 100124, Peoples R China

通讯作者信息:

  • [Zhang Zhenning]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

2014 33RD CHINESE CONTROL CONFERENCE (CCC)

ISSN: 2161-2927

年份: 2014

页码: 5340-5344

语种: 英文

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