Skip to Main content Skip to Navigation
Journal articles

Distributed Control of Nonlinear Diffusion Systems by Input-Output Linearization

Abstract : This paper addresses the distributed control by input-output linearization of a non linear diffusion equation, which describes a particular but important class of distributed parameter systems. Both manipulated and controlled variables are assumed to be distributed in space. The control law is designed using the concept of characteristic index from geometric control by using directly the PDE model without any approximation or reduction. The main idea consists in the control design in assuming an equivalent linear diffusion equation obtained by use of the Cole-Hopf transformation. This framework helps to demonstrate the closed-loop stability using some concepts from the powerful semi-group theory. The performance of the proposed controller is successfully tested, through simulation, by considering a nonlinear heat conduction problem concerning the control of the temperature of a steel plate modeled by a non linear heat equation with Dirichlet boundary conditions.
Complete list of metadatas

Cited literature [40 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02383525
Contributor : Jean-Pierre Corriou <>
Submitted on : Monday, December 2, 2019 - 7:08:08 PM
Last modification on : Wednesday, April 8, 2020 - 2:20:59 PM
Document(s) archivé(s) le : Tuesday, March 3, 2020 - 3:44:44 PM

File

article_for_HAL.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Ahmed Maidi, Jean-Pierre Corriou. Distributed Control of Nonlinear Diffusion Systems by Input-Output Linearization. International Journal of Robust and Nonlinear Control, Wiley, 2012, ⟨10.1002/rnc.2892⟩. ⟨hal-02383525⟩

Share

Metrics

Record views

46

Files downloads

55