TY - GEN
T1 - Backstepping stabilization of the linearized Saint-Venant-Exner Model
T2 - 54th IEEE Conference on Decision and Control, CDC 2015
AU - Diagne, Ababacar
AU - Diagne, Mamadou
AU - Tang, Shuxia
AU - Krstic, Miroslav
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/2/8
Y1 - 2015/2/8
N2 - Using the backstepping design, we achieve exponential stabilization of the coupled Saint-Venant-Exner (SVE) PDE model of water dynamics in a sediment-filled canal with arbitrary values of canal bottom slope, friction, porosity, and water-sediment interaction under subcritical or supercritical flow regime. This model consists of two rightward and one leftward convecting transport Partial Differential Equations (PDEs). A single boundary input control (with actuation located only at downstream) strategy is employed and the backstepping approach developed for the first order linear hyperbolic PDEs is used. A full state feedback controller is designed, which guarantees the exponential stability of the closed-loop control system.
AB - Using the backstepping design, we achieve exponential stabilization of the coupled Saint-Venant-Exner (SVE) PDE model of water dynamics in a sediment-filled canal with arbitrary values of canal bottom slope, friction, porosity, and water-sediment interaction under subcritical or supercritical flow regime. This model consists of two rightward and one leftward convecting transport Partial Differential Equations (PDEs). A single boundary input control (with actuation located only at downstream) strategy is employed and the backstepping approach developed for the first order linear hyperbolic PDEs is used. A full state feedback controller is designed, which guarantees the exponential stability of the closed-loop control system.
UR - http://www.scopus.com/inward/record.url?scp=84962033209&partnerID=8YFLogxK
U2 - 10.1109/CDC.2015.7402381
DO - 10.1109/CDC.2015.7402381
M3 - Conference contribution
AN - SCOPUS:84962033209
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1242
EP - 1247
BT - 54rd IEEE Conference on Decision and Control,CDC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 15 December 2015 through 18 December 2015
ER -