TY - GEN
T1 - Stabilization of a coupled PDE-ODE system by boundary control
AU - Tang, Shuxia
AU - Xie, Chengkang
PY - 2010
Y1 - 2010
N2 - A coupled system of an ODE and a diffusion PDE is considered in this paper. Special techniques as well as the method of PDE backstepping are employed to construct controllers. Through transforming the system into an exponentially stable PDE-ODE cascade, a state feedback boundary controller is established. Moreover, an observer for anti-collocated setup is proposed, and the observer error is shown to exponentially converge to zero, then an output feedback boundary controller is obtained. For a scalar coupled PDE-ODE system, the boundary controller and observer, as well as the solution of the closed-loop system are given explicitly.
AB - A coupled system of an ODE and a diffusion PDE is considered in this paper. Special techniques as well as the method of PDE backstepping are employed to construct controllers. Through transforming the system into an exponentially stable PDE-ODE cascade, a state feedback boundary controller is established. Moreover, an observer for anti-collocated setup is proposed, and the observer error is shown to exponentially converge to zero, then an output feedback boundary controller is obtained. For a scalar coupled PDE-ODE system, the boundary controller and observer, as well as the solution of the closed-loop system are given explicitly.
KW - Boundary control
KW - Coupled PDE-ODE system
KW - Output feedback
UR - http://www.scopus.com/inward/record.url?scp=79953137319&partnerID=8YFLogxK
U2 - 10.1109/CDC.2010.5718141
DO - 10.1109/CDC.2010.5718141
M3 - Conference contribution
AN - SCOPUS:79953137319
SN - 9781424477456
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4042
EP - 4047
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 49th IEEE Conference on Decision and Control, CDC 2010
Y2 - 15 December 2010 through 17 December 2010
ER -