TY - JOUR
T1 - Optimal actuator/sensor placement for linear parabolic PDEs using spatial H2 norm
AU - Armaou, Antonios
AU - Demetriou, Michael A.
N1 - Funding Information:
Financial support from the Pennsylvania State University, Chemical Engineering Department, and the Pennsylvania Department of Education, Engineering School equipment grant program, is gratefully acknowledged by the first author. Financial support from the National Science Foundation, Grant CMS-0408974, for the second author is gratefully acknowledged. The authors are indebted to the reviewers for useful comments that led to the significant improvement of the manuscript.
PY - 2006/11/20
Y1 - 2006/11/20
N2 - The present work focuses on the optimal, with respect to certain criteria, placement of control actuators and sensors for transport-reaction processes which are mathematically modeled by linear parabolic partial differential equations. Using modal decomposition to discretize the spatial coordinate, and the notions of spatial and modal controllability and observability, the semi-infinite optimization problem is formulated as a nonlinear optimization problem in an abstract space, which is subsequently solved using standard search algorithms. The proposed method is successfully applied to a representative process, modeled by a one-dimensional parabolic PDE, where the optimal location of a single and multiple point actuators are computed.
AB - The present work focuses on the optimal, with respect to certain criteria, placement of control actuators and sensors for transport-reaction processes which are mathematically modeled by linear parabolic partial differential equations. Using modal decomposition to discretize the spatial coordinate, and the notions of spatial and modal controllability and observability, the semi-infinite optimization problem is formulated as a nonlinear optimization problem in an abstract space, which is subsequently solved using standard search algorithms. The proposed method is successfully applied to a representative process, modeled by a one-dimensional parabolic PDE, where the optimal location of a single and multiple point actuators are computed.
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U2 - 10.1016/j.ces.2006.07.027
DO - 10.1016/j.ces.2006.07.027
M3 - Article
AN - SCOPUS:33750478035
SN - 0009-2509
VL - 61
SP - 7351
EP - 7367
JO - Chemical Engineering Science
JF - Chemical Engineering Science
IS - 22
ER -