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Optimal actuator placement and model reduction for a class of parabolic partial differential equations using spatial H2 norm

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2 Author(s)
Demetriou, M.A. ; Dept. of Mech. Eng., Worcester Polytech. Inst., MA, USA ; Armaou, A.

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 L2 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.

Published in:

American Control Conference, 2005. Proceedings of the 2005

Date of Conference:

8-10 June 2005