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Estimating Nonlinear Systems in a Neighborhood of LTI-approximants
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2002 (English)In: Proceedings of the 41st IEEE Conference on Decision and Control, 2002, 1005-1010 vol.1 p.Conference paper, Published paper (Refereed)
Abstract [en]

The estimation of Linear Time Invariant (LTI) models is a standard procedure in system identification. Any real-life system will however be nonlinear and time-varying, and the estimated model will converge to the LTI second order equivalent (LTI-SOE) of the true system. In this paper we consider some aspects of this convergence and the distance between the true system and its LTI-SOE. We show that there may be cases where even the slightest nonlinearity may cause big differences in the LTI-SOE. We also show a result that gives conditions that guarantee that the LTI-SOE is close to "the natural" LTI approximant. Finally, an upper bound on the distance between the LTI-SOE of a nonlinear FIR system with a white input signal and the linear part of the system is derived.

Place, publisher, year, edition, pages
2002. 1005-1010 vol.1 p.
Keyword [en]
System identification, Nonlinear systems, Linear time invariant
National Category
Engineering and Technology Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-31704DOI: 10.1109/CDC.2002.1184641Local ID: 17522ISBN: 0-7803-7516-5 (print)OAI: oai:DiVA.org:liu-31704DiVA: diva2:252527
Conference
41st IEEE Conference on Decision and Control, Las Vegas, NV, USA, December, 2002
Funder
Swedish Research Council
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2016-06-22

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Enqvist, MartinLjung, Lennart

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf