Observation of nonlinear systems via finite capacity channels: Part II: Restoration entropy and its estimates

Alexey S. Matveev (Corresponding author), Alexander Yu Pogromsky

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
6 Downloads (Pure)

Abstract

The paper deals with the state estimation problem for nonlinear dynamical systems via communication channels with limited data rate. We introduce several minimum data-rate limits associated with various types of observability. A notion of the restoration entropy (RE) is also introduced and its relevance to the problem is outlined by a corresponding Data Rate Theorem. Theoretical lower and upper estimates for the RE are proposed in the spirit of the first and second Lyapunov methods, respectively. For three classic chaotic multi-dimensional systems, it is demonstrated that the lower and upper estimates for the RE coincide for one of them and are nearly the same for the others.

Original languageEnglish
Pages (from-to)189-199
Number of pages11
JournalAutomatica
Volume103
DOIs
Publication statusPublished - 1 May 2019

Keywords

  • Entropy
  • Lyapunov function
  • Nonlinear systems
  • Observability
  • Reliable state estimation

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