Skip to Main content Skip to Navigation
Journal articles

Nonlinear control of a coupled PDE/ODE system modeling a switched power converter with a transmission line

Jamal Daafouz 1 Marius Tucsnak 2, 3 Julie Valein 3 
2 CORIDA - Robust control of infinite dimensional systems and applications
IECN - Institut Élie Cartan de Nancy, LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est
Abstract : We consider an infinite dimensional system modelling a boost converter connected to a load via a transmission line. The governing equations form a system coupling the telegraph partial differential equation with the ordinary differential equations model-ing the converter. The coupling is given by the boundary conditions and the nonlinear controller we introduce. We design a nonlinear saturating control law using a Lya-punov function for the averaged model of the system. The main results give the well-posedness and stability properties of the obtained closed loop system.
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01095237
Contributor : Marius Tucsnak Connect in order to contact the contributor
Submitted on : Monday, December 15, 2014 - 12:07:02 PM
Last modification on : Thursday, January 20, 2022 - 5:27:02 PM
Long-term archiving on: : Monday, March 16, 2015 - 11:25:14 AM

File

converter_cvforte_sumis_scl.pd...
Files produced by the author(s)

Identifiers

Collections

Citation

Jamal Daafouz, Marius Tucsnak, Julie Valein. Nonlinear control of a coupled PDE/ODE system modeling a switched power converter with a transmission line. Systems and Control Letters, Elsevier, 2014, 70, pp.92-99. ⟨10.1016/j.sysconle.2014.05.009⟩. ⟨hal-01095237⟩

Share

Metrics

Record views

350

Files downloads

343