A Case Study in Model Reduction of Linear Time-Varying Systems
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/915567
- author
- Sandberg, Henrik LU
- organization
- publishing date
- 2006
- 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}}, }