TY - JOUR
T1 - Control of shallow waves of two unmixed fluids by backstepping
AU - Diagne, Mamadou
AU - Tang, Shu Xia
AU - Diagne, Ababacar
AU - Krstic, Miroslav
N1 - Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017
Y1 - 2017
N2 - Among the existing global challenges, water system management is becoming more and more important as the consumption patterns are continually growing. The implication of water system regulation in irrigated agriculture and production of sustainable energy is self-evident nowadays. In the present paper, new perspectives are given on the control of water flowing in an open channel. Mathematically, these physical processes are described by coupled hyperbolic partial differential equations (PDEs). In view of the recent development in PDE control, backstepping methodology has been proven to be a powerful tool in the sense that it provides a systematic design technique. This paper presents the exponential stabilization results of two shallow wave systems including the shallow waves of two unmixed fluids.
AB - Among the existing global challenges, water system management is becoming more and more important as the consumption patterns are continually growing. The implication of water system regulation in irrigated agriculture and production of sustainable energy is self-evident nowadays. In the present paper, new perspectives are given on the control of water flowing in an open channel. Mathematically, these physical processes are described by coupled hyperbolic partial differential equations (PDEs). In view of the recent development in PDE control, backstepping methodology has been proven to be a powerful tool in the sense that it provides a systematic design technique. This paper presents the exponential stabilization results of two shallow wave systems including the shallow waves of two unmixed fluids.
KW - Backstepping control
KW - Coupled hyperbolic PDEs
KW - Shallow waves of unmixed fluids
KW - “Bi-layer” Saint-Venant model
UR - http://www.scopus.com/inward/record.url?scp=85031502674&partnerID=8YFLogxK
U2 - 10.1016/j.arcontrol.2017.09.003
DO - 10.1016/j.arcontrol.2017.09.003
M3 - Review article
AN - SCOPUS:85031502674
VL - 44
SP - 211
EP - 225
JO - Annual Reviews in Control
JF - Annual Reviews in Control
SN - 1367-5788
ER -