Skip to Main content Skip to Navigation
Conference papers

Observer Design for a Coupled ODE-PDE System from a Wellbore Reservoir Drilling Model

Abstract : The problem of state estimation for a coupled ODE-PDE system is addressed here by means of the back-stepping method for PDEs. The ODE is a finite-dimensional, linear, and time-invariant system and the PDE is a linear radial diffusion equation with Neumann and Robin boundary conditions. The coupling appears at one of the boundaries of the PDE and is bidirectional. More precisely, the ODE state appears in one of the boundary conditions of the PDE and the value of the PDE state at the boundary is an input to the ODE. Measurements of the ODE output are available, while the state of the PDE is out of sight. The estimate is defined as the state of an observer; constructed as a copy of the coupled system ODE-PDE with output error feedback. This study is motivated by the influx estimation problem from a wellbore-reservoir model used in managed pressured drilling applications.
Document type :
Conference papers
Complete list of metadata

Cited literature [21 references]  Display  Hide  Download

https://hal-mines-paristech.archives-ouvertes.fr/hal-02437365
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Wednesday, March 4, 2020 - 4:59:28 PM
Last modification on : Thursday, August 26, 2021 - 1:34:02 PM
Long-term archiving on: : Friday, June 5, 2020 - 3:59:12 PM

File

reservoir_CDC2019.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02437365, version 1

Citation

Leobardo Camacho-Solorio, Naveen Velmurugan, Florent Di Meglio, Miroslav Krstic. Observer Design for a Coupled ODE-PDE System from a Wellbore Reservoir Drilling Model. 58th Conference on Decision and Control CDC 2019, Dec 2019, Nice, France. ⟨hal-02437365⟩

Share

Metrics

Record views

131

Files downloads

216