Laboratory investigations of dynamic properties of accelerometers with fractional orders for application in telematic equipment

• Autorzy: Pietruszczak D.
• Języki publikacji: EN

Abstrakty

EN

The paper presents laboratory studies on measuring accelerometers, which were modelled in the classical differential equations, as well as the fractional calculus. Measurement errors were examined and the classical and fractional models in terms of dynamic properties were compared. The advantages of fractional calculus in modelling dynamic elements were also indicated.

Słowa kluczowe

EN

fractional calculus; measuring transducer; measurement error

PL

rachunek ułamkowy; przetwornik pomiarowy; błąd pomiaru

• Wydawca: Polskie Stowarzyszenie Telematyki Transportu
• Czasopismo: Archives of Transport System Telematics
• Rocznik: 2012
• Tom: Vol. 5, iss. 2
• Strony: 26--31
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Pietruszczak D.

• Kazimierz Pulawski Technical University of Radom, Faculty of Transport and Electrical Engineering, Poland,

Bibliografia

• [1] CIOĆ R., LUFT M.: Valuation of software method of increase of accuracy measurement data on example of accelerometer, Advances in Transport Systems Telematics, Monograph, Faculty of Transport, Silesian University of Technology, Katowice 2006.
• [2] CIOĆ R., LUFT M.: Correction of transducers dynamic characteristics in vibration research of means of transport -part 1 - simulations and laboratory research, 10th International Conference "Computer Systems Aided Science, Industry and Transport", Transcomp 2006, vol.1, Zakopane 2006.
• [3] KACZOREK T.: Selected Problems of Fractional Systems Theory, Springer-Verlag GmbH, 344 pages, ISBN 978-3-642- 20501-9, Berlin, Germany 2011.
• [4] LUFT M., CIOĆ R., PIETRUSZCZAK D.: Measurement transducer modeled by means of classical integral-order differential equation and fractional calculus, Proceedings of the 8th International Conference ELEKTRO 2010, ISBN 978-80-554-0196-6, Zilina, Slovak Republic 2010.
• [5] LUFT M., SZYCHTA E., CIOĆ R.: Programmatic correction of errors of measuring track processing, Marine Navigation and Safety of Sea Transportation - Editor: Adam Weintrit, Taylor & Francis Group, pp. 551-555, ISBN 978-0-415-80479-0, London, UK 2009.
• [6] LUFT M., SZYCHTA E., CIOĆ R., PIETRUSZCZAK D.: Measuring transducer modelled by means of fractional calculus, Communications in Computer and Information Science 104, pp.286-295, ISBN 978-3-642-16471-2, Springer-Verlag Berlin Heidelberg, 2010.
• [7] LUFT M., SZYCHTA E., CIOĆ R., PIETRUSZCZAK D.: Application of fractional calculus in identification of the measurement system, Transport Systems and Processes, CRC Press Balkema, Taylor & Francis Group, pp. 63-68, ISBN 978-0-415-69120-8, London, UK 2011.
• [8] LUFT M., SZYCHTA E., CIOĆ R., PIETRUSZCZAK D.: Effect of fractional orders in differential equation describing damping in the measuring transducer, Communications in Computer and Information Science 239, Springer-Verlag Berlin Heidelberg, pp. 226-232, ISBN 978-3-642-24659-3, 2011.
• [9] LUFT M., SZYCHTA E., CIOĆ R., PIETRUSZCZAK D.: Correction method of processing characteristics of the measuring transducer, Proceedings. TRANSCOM 2011, 9-th EUROPEAN CONFERENCE OF YOUNG RESEARCH AND SCIENTIFIC WORKERS, Section 4, ELECTRIC POWER SYSTEMS, ELECTRICAL AND ELECTRONIC ENGINEERING, pp. 83-86, ISBN 978-80-554-0373-1, Published by University of Zilina, Zilina, Slovak Republic 2011.
• [10] Matlab(r)&Simulink(r)7, The MathWorks(tm), 2008.
• [11] NISHIMOTO K.: Fractional calculus. Integration and differentiation of arbitrary order, Decartes Press, Koriyama 1991.
• [12] OSTALCZYK P.: Epitome of the fractional calculus. Theory and its applications in automatics (Zarys rachunku różniczkowocałkowego ułamkowych rzędów. Teoria i zastosowania w automatyce), Wydawnictwo Politechniki Łódzkiej, ISBN 978-83-7283-245-0, Łódź 2008, (in Polish).
• [13] PIETRUSZCZAK D., CIOĆ R., LUFT M.: Analysis of selected frequency characteristics of fractional order dynamic systems, the 2nd international scientific conference DESAM 2012 (DIAGNOSTICs OF ELECTRICAL MACHINES AND MATERIALS), pp. 43-48, ISBN 978-80-89401-69-7, 8-9.02.2012, Papradno, Slovak Republic 2012.
• [14] PODLUBNY I.: Fractional Differential Equations, Academic Press, New York 1999.