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Gain Estimation for Hammerstein Systems
Royal Institute of Technology, Sweden.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Royal Institute of Technology, Sweden.
Royal Institute of Technology, Sweden.
2006 (English)In: Proceedings of the 14th IFAC Symposium on System Identification, 2006, 784-789 p.Conference 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 forthe unmodelled nonlinear part of the Hammerstein system. The approaches are illustrated by numerical examples.

Place, publisher, year, edition, pages
2006. 784-789 p.
, IFAC-PapersOnLine, ISSN 2405-8963 ; 39(1)
Keyword [en]
Hammerstein system, L2-gain, Power iterations, Describing function
National Category
Engineering and Technology Control Engineering
URN: urn:nbn:se:liu:diva-33720DOI: 10.3182/20060329-3-AU-2901.00123Local ID: 19761ISBN: 978-3-902661-02-9OAI: diva2:254543
14th IFAC Symposium on System Identification, Newcastle, Australia, March, 2006
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2016-06-22

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Enqvist, Martin
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ReferencesLink to record
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