Communications - Scientific Letters of the University of Zilina 2015, 17(4):40-44 | DOI: 10.26552/com.C.2015.4.40-44

Analysis of Dynamic Properties of Accelerometer Using Fractional Derivatives

Miroslaw Luft1, Daniel Pietruszczak1, Elzbieta Szychta1
1 Faculty of Transport and Electrical Engineering, Kazimierz Pulaski University of Technology and Humanities in Radom, Poland

The paper outlines the use of fractional derivatives for dynamic measurements while developing a method of improved description of dynamic properties of accelerometer, which the authors consider to be the original and unique achievement of their work. The main objective of the work is an implementation of a fractional calculus-based method which allows for a description of dynamic properties of signal processing of measuring transducers with fractional orders. A dynamics of transducer is identified by the ARX method (AutoRegressive with EXternal input identification method). Identification of accelerometer was accomplished with the use of the MATLAB&Simulink package.

Keywords: accelerometer; ARX method; fractional calculus; fractional derivatives; MATLAB&Simulink; measuring transducer

Published: December 31, 2015  Show citation

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Luft, M., Pietruszczak, D., & Szychta, E. (2015). Analysis of Dynamic Properties of Accelerometer Using Fractional Derivatives. Communications - Scientific Letters of the University of Zilina17(4), 40-44. doi: 10.26552/com.C.2015.4.40-44
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References

  1. OSTALCZYK, P.: Epitome of the Fractional Calculus. Theory and its Applications in Automatics (in Polish), Wydawnictwo Politechniki Lodzkiej, 430 p., ISBN 978-83-7283-245-0, Lodz, 2008.
  2. PODLUBNY, I.: Fractional Differential Equations. An Introduction to Fractional Derivatives, Fractional Differential Equations, Some Methods of Their Solution and Some of Their Applications. Academic Press, 368 p., ISBN 0125588402, San Diego: Boston: New York: London: Tokyo: Toronto, 1999.
  3. LUFT, M., CIOC, R., PIETRUSZCZAK, D.: Fractional Calculus in Modelling of Measuring Transducers. Electronics and Electrical Engineering, No. 4(110), ISSN 1392-1215, Kaunas, 2011. Go to original source...
  4. LUFT, M., SZYCHTA, E., PIETRUSZCZAK, D.: Some Applications of Fractional Calculus to the Analysis of Dynamic Properties of Selected Measuring Transducer. Proc. of 11th European conference of young scientists and postgraduate students Transcom 2015, section 4, Electric Power System, Electrical and Electronic Engineering, ISBN 978-80-554-1046-3, pp. 29-34, June 2015, Zilina, 2015.
  5. LUFT, M., SZYCHTA, E., CIOC, R., PIETRUSZCZAK, D.: Application of Fractional Calculus in Identification of the Measuring System. Transport Systems and Processes, CRC Press Balkema, Taylor & Francis Group, pp. 63-68, ISBN 978-0-415-69120-8, London, 2011.
  6. LUFT, M., SZYCHTA, L., NOWOCIEN, A., CIOC, R., PIETRUSZCZAK, D.: Bode Plots of the Pressure Sensor Modelled by Fractional Calculus (in Polish), Logistyka, 4/2015, ISSN 1231-5478, pp. 4539-4545, Poznan, 2015.
  7. PIETRUSZCZAK, D.: Application of Fractional Calculus to the Analysis of Dynamic Properties of the Measurement Systems (in Polish), Doctoral dissertation, The Main Library of Kazimierz Pulaski University of Technology and Humanities, Radom, 2012.
  8. KACZOREK, T.: Selected Problems of Fractional Systems Theory. Springer-Verlag GmbH, 344 p., ISBN 978-3-642-20501-9, Berlin, 2011. Go to original source...
  9. PIETRUSZCZAK, D., SZYCHTA, E.: Analysis of Selected Dynamic Properties of Fractional Order Accelerometers for Application in Telematics Equipment. Communications in Computer and Information Science, ISSN 1865-0929, pp. 321-329 Springer-Verlag Berlin Heidelberg, 2013.

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