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A Case Study in Model Reduction of Linear Time-Varying Systems

Sandberg, Henrik LU (2006) In Automatica 42(3). p.467-472
Abstract
In this paper, the balanced truncation procedure is applied to time-varying linear systems, both in continuous and in discrete time. The methods are applied to a linear approximation of a diesel exhaust catalyst model. The reduced-order systems are obtained by using certain projections instead of direct balancing. An approximate zero-order-hold discretization of continuous-time systems is described, and a new a priori approximation error bound for balanced truncation in the discrete-time case is obtained. The case study shows that there are several advantages to work in discrete time. It gives simpler implementation with fewer computations.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Time-varying state dimension, Error bound, Linear time-varying systems, Discretization, Model reduction
in
Automatica
volume
42
issue
3
pages
467 - 472
publisher
Pergamon
external identifiers
  • Scopus:31144457450
ISSN
0005-1098
language
English
LU publication?
yes
id
63c5ebd7-3384-415a-a939-d3250bc98ef7 (old id 915567)
date added to LUP
2008-01-09 15:03:26
date last changed
2017-02-19 04:35:07
@article{63c5ebd7-3384-415a-a939-d3250bc98ef7,
  abstract     = {In this paper, the balanced truncation procedure is applied to time-varying linear systems, both in continuous and in discrete time. The methods are applied to a linear approximation of a diesel exhaust catalyst model. The reduced-order systems are obtained by using certain projections instead of direct balancing. An approximate zero-order-hold discretization of continuous-time systems is described, and a new a priori approximation error bound for balanced truncation in the discrete-time case is obtained. The case study shows that there are several advantages to work in discrete time. It gives simpler implementation with fewer computations.},
  author       = {Sandberg, Henrik},
  issn         = {0005-1098},
  keyword      = {Time-varying state dimension,Error bound,Linear time-varying systems,Discretization,Model reduction},
  language     = {eng},
  number       = {3},
  pages        = {467--472},
  publisher    = {Pergamon},
  series       = {Automatica},
  title        = {A Case Study in Model Reduction of Linear Time-Varying Systems},
  volume       = {42},
  year         = {2006},
}