Stability of ODE-PDE hybrid sampled data system

Getnet Tewodros, Jun Min Wang, Hanwen Zhang

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

3 Citations (Scopus)

Abstract

In this paper, we consider state feedback stabilization, where Dirichlet type interconnections constrain the PDE state subject to a Neumann boundary condition at the PDE-ODE interface. We designed a state feedback boundary controller, and by using PDE backstepping the system, through an intermediate system, is transformed to an exponentially stable PDE-ODE cascade with an invertible integral transformation. In light of the ODE connected in series with the PDE, we perform stability analysis of hybrid sampled data PDE-ODE cascade, where the PDE is connected with an ODE through a Zero-Order-Hold (ZOH) sampler.

Original languageEnglish
Title of host publicationProceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2256-2261
Number of pages6
ISBN (Electronic)9781728158549
DOIs
Publication statusPublished - Aug 2020
Event32nd Chinese Control and Decision Conference, CCDC 2020 - Hefei, China
Duration: 22 Aug 202024 Aug 2020

Publication series

NameProceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020

Conference

Conference32nd Chinese Control and Decision Conference, CCDC 2020
Country/TerritoryChina
CityHefei
Period22/08/2024/08/20

Keywords

  • Backstepping stability
  • cascade systems
  • distributed parameter systems
  • sample data systems

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