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

Sandberg, Henrik LU (2004) In Proceedings of the 2nd IFAC Workshop on Periodic Control Systems 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.
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type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
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
2007-09-25 09:56:08
date last changed
2016-04-16 12:31:51
@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},
}