Optimal actuator placement and model reduction for a class of parabolic partial differential equations using spatial H/sub 2/ norm

The present work focuses on the optimal, with respect to certain criteria, placement of control actuators for transport-reaction processes, mathematically modelled by linear parabolic partial differential equations. Using model decomposition to discretize the spatial coordinate, and the notions of s...

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Bibliographic Details
Published inProceedings of the 2005, American Control Conference, 2005 pp. 4569 - 4574 vol. 7
Main Authors Demetriou, M.A., Armaou, A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Control systems
Controllability
Eigenvalues and eigenfunctions
Hydraulic actuators
Mathematical model
Open loop systems
Optimal control
Partial differential equations
Reduced order systems
Riccati equations
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Summary:The present work focuses on the optimal, with respect to certain criteria, placement of control actuators for transport-reaction processes, mathematically modelled by linear parabolic partial differential equations. Using model decomposition to discretize the spatial coordinate, and the notions of spatial and modal controllability, the semi-infinite optimization problem is formulated as a nonlinear optimization problem in appropriate L/sub 2/ spaces. The formulated problem is subsequently solved using standard search algorithms. The proposed method is successfully applied to a representative process, modelled by a one-dimensional parabolic PDE, where the optimal location of a single point actuator is computed.
ISBN:9780780390980
0780390989
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.2005.1470716