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

Sandberg, Henrik LU (2004) p.249-254
Abstract
In this paper the balanced truncation procedureis applied to a time-varying linear system, both in continuous and in discrete time. It is discussed how to obtain the reduced-order systems by using certainprojections instead of direct balancing. An approximative 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, including simpler implementation and less computations.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of the 2nd IFAC Workshop on Periodic Control Systems
pages
249 - 254
language
English
LU publication?
yes
id
012fda2c-362f-4c66-8b5f-af103c012674 (old id 536055)
date added to LUP
2016-04-04 14:25:56
date last changed
2021-09-27 10:42:50
@inproceedings{012fda2c-362f-4c66-8b5f-af103c012674,
  abstract     = {{In this paper the balanced truncation procedureis applied to a time-varying linear system, both in continuous and in discrete time. It is discussed how to obtain the reduced-order systems by using certainprojections instead of direct balancing. An approximative 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, including simpler implementation and less computations.}},
  author       = {{Sandberg, Henrik}},
  booktitle    = {{Proceedings of the 2nd IFAC Workshop on Periodic Control Systems}},
  language     = {{eng}},
  pages        = {{249--254}},
  title        = {{A Case Study in Model Reduction of Linear Time-Varying Systems}},
  year         = {{2004}},
}