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Experimental Open-Loop Evaluation of some Time-Delay Estimation Methods in the Laguerre Domain
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2003 (English)Report (Other academic)
Abstract [en]

In this report we study estimation of time-delays in linear dynamical systems with additive noise. Estimating time-delays is a common engineering problem, e.g. in automatic control, system identification and signal processing. The purpose with this work is to test and evaluate a certain class of methods for time-delay estimation, especially with automatic control applications in mind. The class of methods consists of estimating the time-delay from the Laguerre transform of the input and output signals. The methods are evaluated experimentally with the aid of simulations and plots of approximation error, plots of original and Laguerre approximated input and output signals, plots of estimates, plots of RMS error, tables of ANOVA and plots of confidence intervals for different cases. The results are: Only certain input signals, e.g. steps, are useful. Systems with a not too fast dynamics give better estimation quality than pure time-delay systems despite the fact that the estimation methods were derived for pure time-delay systems. The Laguerre pole should be chosen in a certain way. The number of Laguerre functions should be as a high as possible.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2003. , 7 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2537
Keyword [en]
Time-delay, Dead-time, Estimation, System identification, Linear dynamic systems, Laguerre, ANOVA, Confidence intervals, Simulation
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-55878ISRN: LiTH-ISY-R-2537OAI: diva2:316655
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-07-29Bibliographically approved

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Björklund, Svante
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Automatic ControlThe Institute of Technology
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