Disturbance Estimation of a Wave PDE on a Time-varying Domain

Ji Wang, Shu Xia Tang, Yangjun Pi, Miroslav Krstic

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

2 Scopus citations

Abstract

In this paper, we design an exponentially convergent distur- bance observer for a wave PDE on a time-varying domain by using two boundary measurements u(0; t); ut(l(t); t). More speci-cally, two auxiliary PDEs are constructed to build the disturbance observer for tracking the external disturbance in the wave PDE. Exponential convergence of the disturbance estimation to the true disturbance value is proved by Lya- punov analysis, and all states in the observer are shown to be bounded once the original state u(x; t) is bounded via designing control input.

Original languageEnglish
Title of host publicationProceedings of the SIAM Conference on Control and Its Applications, CT 2017
EditorsRuihua Liu, Qing Zhang, Wei Kang, Jean-Pierre Barbot
PublisherSociety for Industrial and Applied Mathematics Publications
Pages107-111
Number of pages5
ISBN (Electronic)9781611975000
StatePublished - 2017
Event2017 SIAM Conference on Control and Its Applications, CT 2017 - Pittsburgh, United States
Duration: Jul 10 2017Jul 12 2017

Publication series

NameProceedings of the SIAM Conference on Control and Its Applications, CT 2017

Conference

Conference2017 SIAM Conference on Control and Its Applications, CT 2017
CountryUnited States
CityPittsburgh
Period07/10/1707/12/17

Cite this

Wang, J., Tang, S. X., Pi, Y., & Krstic, M. (2017). Disturbance Estimation of a Wave PDE on a Time-varying Domain. In R. Liu, Q. Zhang, W. Kang, & J-P. Barbot (Eds.), Proceedings of the SIAM Conference on Control and Its Applications, CT 2017 (pp. 107-111). (Proceedings of the SIAM Conference on Control and Its Applications, CT 2017). Society for Industrial and Applied Mathematics Publications.