Name
Abstract | ||
|---|---|---|
Explicit model reduction for nonlinear systems with no prior information about the type of nonlinearity involved is difficult and challenging. It is easier to reduce nonlinear systems which nonlinearity is known. In this paper we introduce two nonlinear model reduction techniques for quadratic nonlinear systems. The first technique is nonlinear balanced truncation. The Controlability and observability gramians are computed by solving the Hamilton Jacobi equations and then used to find the transformation function to get the nonlinear balanced truncated system. The second technique is using Arnoldi algorithm. We apply both techniques to a practical nonlinear quadratic system which is the two-dimensional Burgers equation problem of a fluid passing an obstacle. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/CDC.2012.6425839 | CDC |
Keywords | Field | DocType |
external flows,flow simulation,controlability gramians,arnoldi algorithm,explicit model reduction,reduced order modeling,hamilton jacobi equations,nonlinear model reduction techniques,quadratic nonlinear systems,quadratic type nonlinearities,nonlinear balanced truncation,observability gramians,partial differential equations,2d burgers equation problem,transformation function,nonlinear balanced truncated system,jacobian matrices,fluid flows | Mathematical optimization,Observability,Nonlinear system,Transformation (function),Controllability,Control theory,Mathematical analysis,Quadratic equation,Burgers' equation,Balanced truncation,Partial differential equation,Mathematics | Conference |
ISSN | ISBN | Citations |
0743-1546 E-ISBN : 978-1-4673-2064-1 | 978-1-4673-2064-1 | 4 |
PageRank | References | Authors |
0.55 | 6 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Samir Sahyoun | 1 | 13 | 4.47 |
| Jin Dong | 2 | 24 | 6.94 |
| Seddik M. Djouadi | 3 | 216 | 42.08 |