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

Michael A. Demetriou, Antonios Armaou

Research output: Contribution to journalConference article

12 Citations (Scopus)

Abstract

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 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.

Original languageEnglish (US)
Article numberFrC01.4
Pages (from-to)4569-4574
Number of pages6
JournalProceedings of the American Control Conference
Volume7
StatePublished - Sep 1 2005
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: Jun 8 2005Jun 10 2005

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Partial differential equations
Actuators
Controllability
Decomposition

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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Optimal actuator placement and model reduction for a class of parabolic partial differential equations using spatial script H sign 2 norm. / Demetriou, Michael A.; Armaou, Antonios.

In: Proceedings of the American Control Conference, Vol. 7, FrC01.4, 01.09.2005, p. 4569-4574.

Research output: Contribution to journalConference article

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