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Data-driven methods...
Data-driven methods for L2-gain estimation
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- Barenthin, Märta (författare)
- KTH,Reglerteknik
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- Wahlberg, Bo, 1959- (författare)
- KTH,Reglerteknik,ACCESS Linnaeus Centre,System Identification Group
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- Hjalmarsson, Håkan (författare)
- KTH,Reglerteknik,ACCESS Linnaeus Centre
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- Barkhagen, Mathias (författare)
- KTH,Reglerteknik
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(creator_code:org_t)
- 2009
- 2009
- Engelska.
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Ingår i: IFAC Proceedings Volumes (IFAC-PapersOnline). ; , s. 1597-1602
- Relaterad länk:
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https://kth.diva-por... (primary) (Raw object)
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- In this paper we present and discuss some data-driven methods for estimation of the L2-gain of dynamical systems. Partial results on convergence and statistical properties are provided. The methods are based on multiple experiments on the system. The main idea is to directly estimate the maximizing input signal by using iterative experiments on the true system. We study such a data-driven method based on a stochastic gradient method. We show that this method is very closely related to the so-called power iteration method based on the power method in numerical analysis. Furthermore, it is shown that this method is applicable for linear systems with noisy measurements. We will also study L2-gain estimation of Hammerstein systems. The stochastic gradient method and the power iteration method are evaluated and compared in simulation examples. © 2009 IFAC.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Infinity norm
- Input signal design
- L2-gain estimation
- Power method
- Small gain theorem
- Gain estimation
- Dynamical systems
- Estimation
- Experiments
- Gradient methods
- Linear systems
- Numerical analysis
- Stochastic systems
- Numerical methods
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)