TY - JOUR
T1 - State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model
AU - Diagne, Ababacar
AU - Tang, Shuxia
AU - Diagne, Mamadou
AU - Krstic, Miroslav
N1 - Publisher Copyright:
© 2016
PY - 2016
Y1 - 2016
N2 - We consider the problem of stabilizing the bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). In the stability proofs, we employ a Lyapunov function in which the parameters need to be successively determined. To the best of the authors’ knowledge, this is the first time this kind of Lyapunov function is employed, and this result is the first one on the stabilization of the linearized bilayer Saint-Venant model. Numerical simulations of the bilayer Saint-Venant problem are also provided to verify the result.
AB - We consider the problem of stabilizing the bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). In the stability proofs, we employ a Lyapunov function in which the parameters need to be successively determined. To the best of the authors’ knowledge, this is the first time this kind of Lyapunov function is employed, and this result is the first one on the stabilization of the linearized bilayer Saint-Venant model. Numerical simulations of the bilayer Saint-Venant problem are also provided to verify the result.
KW - Backstepping control
KW - Bilayer Saint-Venant model
KW - State feedback stabilization
KW - State-varying coefficients
KW - coupled PDEs
UR - http://www.scopus.com/inward/record.url?scp=84994409999&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2016.07.431
DO - 10.1016/j.ifacol.2016.07.431
M3 - Article
AN - SCOPUS:84994409999
SN - 1474-6670
VL - 49
SP - 130
EP - 135
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 8
ER -