Statistical Optimal Control Using Neural Networks

被引：0

作者：

Kang, Bei ^{[1
]}

Won, Chang-Hee ^{[1
]}

机构：

[1] Coll Engn, CSNAP Lab, Philadelphia, PA 19122 USA

来源：

ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT II | 2011年 / 6676卷

关键词：

statistical control; neural networks; cost cumulants; stochastic optimization;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we investigated statistical control problems using n-th order cost cumulants. The n-th order statistical control is formulated and solved using a Hamilton-Jacobi-Bellman (HJB) partial differential equation. Both necessary and sufficient conditions for n-th cumulant statistical control are derived. Statistical control introduces an extra degree of freedom to improve the performance. Then, the neural network approximation method is applied to solve the HJB equation numerically. This gives a statistical optimal controller. We apply statistical optimal control to a satellite attitude control application. This illustrates that neural network is useful in solving an n-th cumulant HJB equation, and the statistical controller improves the system performance.

引用

页码：601 / 610

页数：10

共 15 条

[1]

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[2]

[Anonymous], 1972, The method of weighted residuals and variational principles

[3] A neural network solution for fixed-final time optimal control of nonlinear systems [J].