TY - GEN
T1 - Exact controllability of coupled PDE-ODE systems
AU - Weiss, George
AU - Zhao, Xiaowei
PY - 2009
Y1 - 2009
N2 - We consider coupled systems consisting of an infinite-dimensional part (a PDE system) and a finite-dimensional part (an ODE system) connected in feedback, such as for example the well-known SCOLE system (a beam with a rigid body attached at one end). The external world interacts with the coupled system via the finite-dimensional part, which receives the external input and sends out the output. The in finite-dimensional part is assumed to be a system node. Under several assumptions, we derive well-posedness and exact controllability results for such coupled systems. The first main result concerns the case when the input signal of the finite-dimensional part is the difierence between the external input and the feedback signal. The second main result allows a more general structure for the finite-dimensional part. We also prove a result for the approximate controllability of the coupled system.
AB - We consider coupled systems consisting of an infinite-dimensional part (a PDE system) and a finite-dimensional part (an ODE system) connected in feedback, such as for example the well-known SCOLE system (a beam with a rigid body attached at one end). The external world interacts with the coupled system via the finite-dimensional part, which receives the external input and sends out the output. The in finite-dimensional part is assumed to be a system node. Under several assumptions, we derive well-posedness and exact controllability results for such coupled systems. The first main result concerns the case when the input signal of the finite-dimensional part is the difierence between the external input and the feedback signal. The second main result allows a more general structure for the finite-dimensional part. We also prove a result for the approximate controllability of the coupled system.
KW - Admissible control operator
KW - Coupled system
KW - Exact controllability
KW - Simultaneous controllability
KW - System node
KW - Well-posed system
UR - http://www.scopus.com/inward/record.url?scp=80051530021&partnerID=8YFLogxK
U2 - 10.3182/20090616-3-IL-2002.0086
DO - 10.3182/20090616-3-IL-2002.0086
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AN - SCOPUS:80051530021
SN - 9783902661456
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 290
EP - 294
BT - ROCOND'09 - 6th IFAC Symposium on Robust Control Design, Proceedings
T2 - 6th IFAC Symposium on Robust Control Design, ROCOND'09
Y2 - 16 June 2009 through 18 June 2009
ER -