TY - JOUR
T1 - Boundary control systems with Yosida type approximate boundary observation
AU - Dehaye, Jérémy R.
AU - Winkin, Joseph J.
PY - 2013
Y1 - 2013
N2 - A model of boundary control system with boundary observation is described and analyzed, which involves no unbounded operator except for the dynamics generator. This model consists of an extended abstract differential equation whose state components are the boundary input, the state (up to an affine transformation) and a Yosida-type approximation of the output of the nominal system. It is shown that, under suitable conditions, the model is well-posed and, in particular, that the dynamics operator is the generator of an analytic C0-semigroup and the model is observable. Moreover the model is shown to be approximately reachable provided that so is the nominal system with respect to an additional distributed input. It is expected that this approach will lead hopefully to a good trade-off between the cost of modelling and the efficiency of methods of resolution of control problems for such systems.
AB - A model of boundary control system with boundary observation is described and analyzed, which involves no unbounded operator except for the dynamics generator. This model consists of an extended abstract differential equation whose state components are the boundary input, the state (up to an affine transformation) and a Yosida-type approximation of the output of the nominal system. It is shown that, under suitable conditions, the model is well-posed and, in particular, that the dynamics operator is the generator of an analytic C0-semigroup and the model is observable. Moreover the model is shown to be approximately reachable provided that so is the nominal system with respect to an additional distributed input. It is expected that this approach will lead hopefully to a good trade-off between the cost of modelling and the efficiency of methods of resolution of control problems for such systems.
KW - Boundary control
KW - Boundary observation
KW - Convection-diffusion-reaction system
KW - Yosida approximation
UR - http://www.scopus.com/inward/record.url?scp=84896504135&partnerID=8YFLogxK
U2 - 10.3182/20130925-3-FR-4043.00061
DO - 10.3182/20130925-3-FR-4043.00061
M3 - Article
AN - SCOPUS:84896504135
SN - 1474-6670
VL - 1
SP - 233
EP - 238
JO - IFAC Proceedings Volumes
JF - IFAC Proceedings Volumes
IS - PART 1
ER -