Details:
Title  Design of Marx generators as a structured eigenvalue assignment  Author(s)  Sergio Galeani, Didier Henrion, Alain Jacquemard, Luca Zaccarian  Type  Article in Journal  Abstract  Abstract 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.  Keywords  Experiment design, Structured eigenvalue assignment, Design methodologies, Modeling operation and control of power systems, Optimizationbased controller synthesis  ISSN  00051098 
URL 
http://www.sciencedirect.com/science/article/pii/S0005109814003574 
Language  English  Journal  Automatica  Volume  50  Number  10  Pages  2709  2717  Year  2014  Edition  0  Translation 
No  Refereed 
No 
