Poster: Recent results in state estimation of dynamical systems with inputs under bandwidth constraints

Hussein Sibai, Sayan Mitra

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

Abstract

Finding the minimal bit rate needed for state estimation of a dynamical system is a fundamental problem in control theory. We present two notions of topological entropy one to lower bound the bit rate needed to estimate the state of a nonlinear dynamical system, with unknown bounded inputs, up to a constant error ϵ. The other is to do the same but to estimate the state of a switched system with unknown switching signal up to an error that is bounded by ϵ for τ seconds after each switch and then decays exponentially at a rate of α till the next switch. Since computation of entropy is hard in general, we present upper bounds on both notions of entropy. Finally, we present preliminary results on the relation between the two notions. Note that most of the ideas presented in this abstract are from our papers [4] and [5].

Original languageEnglish (US)
Title of host publicationHSCC 2018 - Proceedings of the 21st International Conference on Hybrid Systems
Subtitle of host publicationComputation and Control (part of CPS Week)
PublisherAssociation for Computing Machinery, Inc
Pages279-280
Number of pages2
ISBN (Electronic)9781450356428
DOIs
StatePublished - Apr 11 2018
Event21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018 - Porto, Portugal
Duration: Apr 11 2018Apr 13 2018

Publication series

NameHSCC 2018 - Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week)

Other

Other21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018
CountryPortugal
CityPorto
Period4/11/184/13/18

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Networks and Communications

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  • Cite this

    Sibai, H., & Mitra, S. (2018). Poster: Recent results in state estimation of dynamical systems with inputs under bandwidth constraints. In HSCC 2018 - Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week) (pp. 279-280). (HSCC 2018 - Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week)). Association for Computing Machinery, Inc. https://doi.org/10.1145/3178126.3187002