Minimum entropy control of B-spline PDF systems with mean constraint

Hong Yue, Jinglin Zhou, Hong Wang

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)989-994
Number of pages5
JournalAutomatica
Volume42
Issue number6
DOIs
Publication statusPublished - 17 Apr 2006

Keywords

  • continuous distribution
  • probability density function
  • B-spline
  • minimum entropy
  • mean constraint

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