Sampled-data observers for semilinear damped wave equations under point measurements

Maria Terushkin, Emilia Fridman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Sampled-data observers/controllers under sampled measurements were suggested in the past for parabolic systems. In the present paper, for the first time, a sampled-data observer is constructed for a hyperbolic system governed by 1D semilinear wave equation with viscous damping. The measurements are sampled in space and time. Sufficient conditions for the exponential stability of the estimation error system are derived by using the time-delay approach to sampled-data control and an appropriate Lyapunov-Krasovskii functional. The presented numerical examples including observer design for unstable damped sine-Gordon equation illustrate the efficiency of the method.

Original languageEnglish
Title of host publication2019 18th European Control Conference, ECC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2102-2107
Number of pages6
ISBN (Electronic)9783907144008
DOIs
StatePublished - Jun 2019
Event18th European Control Conference, ECC 2019 - Naples, Italy
Duration: 25 Jun 201928 Jun 2019

Publication series

Name2019 18th European Control Conference, ECC 2019

Conference

Conference18th European Control Conference, ECC 2019
Country/TerritoryItaly
CityNaples
Period25/06/1928/06/19

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