Fundamental performance limitations via entropy estimates with hidden Markov models

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper is concerned with entropy based fundamental limitation results for the disturbance rejection problem in a scalar dynamical system. We propose a hidden Markov model (HMM) framework for entropy calculations. Using methods from ergodic theory, we obtain explicit entropy bounds for both the classical Bode problem (with linear dynamics) as well as certain cases of nonlinear dynamics. An important message of this paper is that the limitations are due to fundamental issues pertaining to estimation as opposed to the stabilization control problem.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages3982-3988
Number of pages7
DOIs
StatePublished - Dec 1 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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