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 -