Name
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.automatica.2014.09.003 | Automatica |
Keywords | Field | DocType |
Experiment design,Structured eigenvalue assignment,Design methodologies,Modeling operation and control of power systems,Optimization-based controller synthesis | Electrical network,Mathematical optimization,Polynomial,Control theory,Computer science,Marx generator,Gröbner basis,Conjecture,Real algebraic geometry,Optimization problem,Design of experiments | Journal |
Volume | Issue | ISSN |
50 | 10 | 0005-1098 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sergio Galeani | 1 | 398 | 42.86 |
| Daniel Henrion | 2 | 63 | 7.51 |
| A. Jacquemard | 3 | 2 | 1.48 |
| Luca Zaccarian | 4 | 1 | 2.09 |