Backstepping stabilization of an underactuated 3 × 3 linear hyperbolic system of fluid flow equations

Author

Di Meglio, F. ; Vazquez, Rafael ; Krstic, Miroslav ; Petit, N.

Author_Institution

Dept. of Mech. & Aerosp. Eng., Univ. of California San Diego, La Jolla, CA, USA

fYear

2012

fDate

27-29 June 2012

Firstpage

3365

Lastpage

3370

Abstract

We investigate the boundary stabilization of a particular subset of 3×3 linear hyperbolic systems with varying coefficients on a bounded domain. The system is underactuated since only one of the three hyperbolic PDEs is actuated at the boundary. The setup considered in the paper occurs in control of multiphase flows on oil production systems. We use a backstepping approach to design a full-state feedback law yielding exponential stability of the origin.

Keywords

asymptotic stability; feedback; flow control; flow instability; multiphase flow; oil technology; partial differential equations; backstepping approach; backstepping stabilization; boundary stabilization; bounded domain; exponential stability; fluid flow equations; full-state feedback law; hyperbolic PDEs; multiphase flows; oil production systems; underactuated 3 × 3 linear hyperbolic system; varying coefficients; Backstepping; Boundary conditions; Couplings; Equations; Kernel; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2012

Conference_Location

Montreal, QC

ISSN

0743-1619

Print_ISBN

978-1-4577-1095-7

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2012.6315422

Filename

6315422