Stability of ODE-PDE hybrid sampled data system

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...

Full description

Saved in:
Bibliographic Details
Published inChinese Control and Decision Conference pp. 2256 - 2261
Main Authors Tewodros, Getnet, Wang, Jun-Min, Zhang, Hanwen
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2020
Subjects
Backstepping stability
Boundary conditions
cascade systems
distributed parameter systems
Eigenvalues and eigenfunctions
Heating systems
Kernel
sample data systems
Sampled data systems
Stability analysis
State feedback
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:1948-9447
DOI:10.1109/CCDC49329.2020.9164139