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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 Press Ltd.
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
2016-04-04 14:02:28
date last changed
2022-01-30 01:23:22
@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}},
  keywords     = {{Time-varying state dimension; Error bound; Linear time-varying systems; Discretization; Model reduction}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{467--472}},
  publisher    = {{Pergamon Press Ltd.}},
  series       = {{Automatica}},
  title        = {{A Case Study in Model Reduction of Linear Time-Varying Systems}},
  volume       = {{42}},
  year         = {{2006}},
}