Name
Title | ||
|---|---|---|
A Projection Approach For Model Reduction Of Large-Scale Time-Delay Systems, With Application To A Boundary Controlled Pde |
Abstract | ||
|---|---|---|
We present a model order reduction method which allows the construction of a reduced, delay free model of a given dimension for linear time-delay systems. The method builds on the equivalent representation of the time-delay system as an infinite-dimensional linear problem. H combines ideas from a finite-dimensional approximation via a spectral discretization on the one hand, and a Krylov-Pade model reduction approach on the other hand. The method exhibits a good spectral approximation of the original model, in the sense that the smallest characteristic roots are well approximated and the nonconverged eigenvalues of the reduced model have a favorable location, and it preserves moments at zero and at infinity. The model reduction approach is illustrated by means of a PDE model for a heated rod with delay in the boundary control. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/CDC.2011.6160625 | 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) |
Keywords | Field | DocType |
approximation theory,polynomials,transfer function,partial differential equations,vectors,chebyshev approximation,transfer functions,linear time | Discretization,Mathematical optimization,Polynomial,Model order reduction,Mathematical analysis,Infinity,Approximation theory,Transfer function,Partial differential equation,Eigenvalues and eigenvectors,Mathematics | Conference |
ISSN | Citations | PageRank |
0743-1546 | 0 | 0.34 |
References | Authors | |
9 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wim Michiels | 1 | 513 | 77.24 |
| Jarlebring Elias | 2 | 84 | 11.48 |
| Karl Meerbergen | 3 | 443 | 55.04 |