Title :
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
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;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6315422
