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TitleDesign of Marx generators as a structured eigenvalue assignment
Author(s) Sergio Galeani, Didier Henrion, Alain Jacquemard, Luca Zaccarian
TypeArticle in Journal
AbstractAbstract We consider the design problem for a Marx generator electrical network, a pulsed power generator. We show that the components design can be conveniently cast as a structured real eigenvalue assignment with significantly lower dimension than the state size of the Marx circuit. Then we present two possible approaches to determine its solutions. A first symbolic approach consists in the use of Gröbner basis representations, which allows us to compute all the (finitely many) solutions. A second approach is based on convexification of a nonconvex optimization problem with polynomial constraints. We also comment on the conjecture that for any number of stages the problem has finitely many solutions, which is a necessary assumption for the proposed methods to converge. We regard the proof of this conjecture as an interesting challenge of general interest in the real algebraic geometry field.
KeywordsExperiment design, Structured eigenvalue assignment, Design methodologies, Modeling operation and control of power systems, Optimization-based controller synthesis
ISSN0005-1098
URL http://www.sciencedirect.com/science/article/pii/S0005109814003574
LanguageEnglish
JournalAutomatica
Volume50
Number10
Pages2709 - 2717
Year2014
Edition0
Translation No
Refereed No
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