Dynamic optimization of dissipative PDE systems using empirical eigenfunctions

Antonios Armaou, Panagiotis D. Christofides

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this work, we propose a computationally efficient method for the solution of dynamic constraint optimization problems arising in the context of spatially-distributed processes governed by highly-dissipative nonlinear partial differential equations (PDEs). The method is based on spatial discretization using combination of the method of weighted residuals with spatially-global empirical eigenfunctions as basis functions. We use a diffusion-reaction process with nonlinearities and spatially-varying coefficients to demonstrate the implementation and evaluate the effectiveness of the proposed optimization method.

Original languageEnglish (US)
Pages (from-to)1040-1048
Number of pages9
JournalProceedings of the American Control Conference
Volume2
StatePublished - 2002

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Eigenvalues and eigenfunctions
Partial differential equations

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

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Dynamic optimization of dissipative PDE systems using empirical eigenfunctions. / Armaou, Antonios; Christofides, Panagiotis D.

In: Proceedings of the American Control Conference, Vol. 2, 2002, p. 1040-1048.

Research output: Contribution to journalArticle

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