Entropy formula for nonlinear systems

Pablo A. Iglesias, Marc A. Peters

Research output: Contribution to journalArticle

Abstract

Minimum entropy control theory provides a powerful means of trading off the advantages of optimal H2 and H controllers. In this paper, a framework for the nonlinear minimum entropy control problem is suggested, based on the nonlinear spectral factorization problem. It is also shown that, for a large class of H suboptimal controllers, the central controller minimizes the closed-loop entropy. The techniques used are similar to the time-domain notion of the entropy that was introduced by the authors for time-varying systems.

Original languageEnglish (US)
Pages (from-to)859-874
Number of pages16
JournalJournal of the Franklin Institute
Volume337
Issue number7
DOIs
StatePublished - Nov 2000

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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