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Gain estimation for Hammerstein systems
KTH, School of Electrical Engineering (EES), Automatic Control.
Linköping University.
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0002-1927-1690
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0002-9368-3079
2006 (English)In: IFAC Proceedings Volumes (IFAC-PapersOnline) / [ed] Brett Ninness, Håkan Hjalmarsson, 2006Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we discuss and compare three different approaches for L2- gain estimation of Hammerstein systems. The objective is to find the input signal that maximizes the gain. A fundamental difference between two of the approaches is the class, or structure, of the input signals. The first approach involves describing functions and therefore the class of input signals is sinusoids. In this case we assume that we have a model of the system and we search for the amplitude and frequency that give the largest gain. In the second approach, no structure on the input signal is assumed in advance and the system does not have to be modelled first. The maximizing input is found using an iterative procedure called power iterations. In the last approach, a new iterative procedure tailored for memoryless nonlinearities is used to find the maximizing input for the unmodelled nonlinear part of the Hammerstein system. The approaches are illustrated by numerical examples.

Place, publisher, year, edition, pages
2006.
Keyword [en]
Hammerstein system, L2-gain, power iterations, describing function
National Category
Control Engineering
Research subject
SRA - ICT
Identifiers
URN: urn:nbn:se:kth:diva-55928DOI: 10.3182/20060329-3-AU-2901.00123OAI: oai:DiVA.org:kth-55928DiVA: diva2:472159
Conference
Proceedings 14th IFAC Symposium on System Identification, Newcastle, Australia
Note

QC 20120112

Available from: 2012-01-03 Created: 2012-01-03 Last updated: 2016-06-22Bibliographically approved

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Wahlberg, BoHjalmarsson, Håkan

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