Abstract
The article is inspired by developments of the fractional calculus in different areas of science such as the control theory and electrical measurements. The current interest in mathematical analysis employing the fractional differential and integral calculus reflects the usefulness of this calculus in the development of more precise – closer to the actual observation - mathematical models of various phenomena. A model of a measuring transducer is presented, developed by means of fractional calculus. Tests are executed in the programming environment MATLAB-SIMULINK.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cioć, R.: Korekcja charakterystyk dynamicznych przetworników pomiarowych w diagnostyce wibracyjnej wagonu kolejowego, Ph.D. Thesis, Politechnika Radomska, Radom (2007)
Cioć, R., Luft, M.: Valuation of software method of increase of accuracy measurement data on example of accelerometer. In: Advances in Transport Systems Telematics, Monograph, Faculty of Transport, Silesian University of Technology, Katowice (2006)
Cioć, R., Luft, M.: Correction of transducers dynamic characteristics in vibration research of means of transport – part 1 – simulations and laboratory research. In: 10th International Conference “Computer Systems Aided Science, Industry and Transport”, Transcomp 2006, Zakopane, vol. 1 (2006)
Cioć, R., Luft, M.: Metoda programowej korekcji dynamicznych błędów przetwarzania przetworników pomiarowych. Pomiary Automatyka Komputery w gospodarce i ochronie środowiska, Kwartalnik Naukowo-Techniczny nr 2/2009, str. 22-25,, Fundacja Nauka dla Przemysłu i Środowiska, Rzeszów (2009) ISSN 1889-6981
Davis, H.D.: The theory of linear operators. Principia Press, Bloomington (1936)
Hagel, R., Zakrzewski, J.: Miernictwo dynamiczne. WNT, Warsaw (1984)
Jakubiec, J., Roj, J.: Pomiarowe przetwarzanie próbkujące. Wydawnictwo Politechniki Śląskiej, Gliwice (2000)
Kaczorek, T.: Wybrane zagadnienia teorii układów niecałkowitego rzędu. Oficyna Wydawnicza Politechniki Białostockiej, Białystok (2009)
Kaczorek, T., Dzieliński, A., Dąbrowski, W., Łopatka, R.: Podstawy teorii sterowania. WNT, Warszawa (2006)
Luft, M., Cioć, R.: Increase of accuracy of measurement signals reading from analog measuring transducers. In: Zeszyty Naukowe Politechniki Śląskiej 2005,Transport z. 59, Gliwice, vol. 1691 (2005)
Luft, M., Cioć, R., Pietruszczak, D.: Measurement transducer modeled by means of classical integral-order differential equation and fractional calculus. In: Proceedings of the 8th International Conference ELEKTRO 2010, Zilina (2010) ISBN 978-80-554-0196-6
Nishimoto, K.: Fractional calculus. Integration and differentiation of arbitrary order. Decartes Press, Koriyama (1991)
Nishimoto, K.: An essence of Nishimoto’s fractional Calculus. Decartes Press, Koriyama (1989/1996)
Ostalczyk, P.: Zarys rachunku różniczkowo-całkowego ułamkowych rzędów. In: Teoria i zastosowania w automatyce, Wydawnictwo Politechniki Łódzkiej, Łódź (2008) ISBN 978-83-7283-245-0
Mikulski, J., Młyńczak, J.: Wykorzystanie systemu monitoringu GPS do oceny parametrów energetycznych lokomotyw spalinowych. Przegląd Elektrotechniczny 9, 268–272 (2009)
Podlubny, I.: Fractional Differential Equations. Academic Press, New York (1999)
Matlab®&Simulink®7, The MathWorksTM (2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Luft, M., Szychta, E., Cioć, R., Pietruszczak, D. (2010). Measuring Transducer Modelled by Means of Fractional Calculus. In: Mikulski, J. (eds) Transport Systems Telematics. TST 2010. Communications in Computer and Information Science, vol 104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16472-9_32
Download citation
DOI: https://doi.org/10.1007/978-3-642-16472-9_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16471-2
Online ISBN: 978-3-642-16472-9
eBook Packages: Computer ScienceComputer Science (R0)