Minimum entropy of B-spline PDF systems with mean constraint

被引：44
作者：
Yue, Hong
Zhou, Jinglin
Wang, Hong [1 ]
机构：
[1] Univ Manchester, Control Syst Ctr, Manchester M60 1QD, Lancs, England
[2] Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
来源：
AUTOMATICA | 2006年 / 42卷 / 06期
基金：
中国国家自然科学基金; 英国工程与自然科学研究理事会;
关键词：
continuous distribution; probability density function (PDF); B-spline; minimum entropy; mean constraint;
D O I：
10.1016/j.automatica.2006.02.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For the B-spline approximation of the continuous probability density function (PDF), the relationships between the B-spline weights and entropy both in general and under the mean constraint have been analyzed. It provides the conditions under which the minimum entropy can be achieved subject to the mean constraint. The difference between the entropy of continuous and discrete distributions has also been clarified. A minimum entropy controller with the mean constraint is then developed and several simulations are performed to verify the main results. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：989 / 994
页数：6
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