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Fractional-order discrete model of an independent wheel electrical drive of the autonomous platform

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the paper the linear time-invariant fractional-order models of the separated wheel closed-loop electrical drive of the autonomous platform are considered. As a reference model one considers the classical model described by the second-order linear difference equation. Two discrete-time fractional-order models are considered: non-commensurate and commensurate. According to the sum of the squared error criterion (SSE) one compares two-parameter integer-order model with the four-parameter non-commensurate and three-parameter commensurate fractional-order ones. Three mathematical models are built and simulated. The computer simulation results are compared with measured velocity of the real autonomous platform separate wheel closed-loop electrical drive.
Rocznik
Strony
433--440
Opis fizyczny
Bibliogr. 21 poz., rys., wykr., tab.
Twórcy
autor
  • Institute of Applied Compute Science, Department of Electrical Engineering, Lodz University of Technology, 18/22 Stefanowskiego St., 90-924 Lodz, Poland
  • Institute of Applied Compute Science, Department of Electrical Engineering, Lodz University of Technology, 18/22 Stefanowskiego St., 90-924 Lodz, Poland
autor
  • Institute of Applied Compute Science, Department of Electrical Engineering, Lodz University of Technology, 18/22 Stefanowskiego St., 90-924 Lodz, Poland
Bibliografia
  • [1] A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, 523 Elsevier, Amsterdam 2006.
  • [2] A. Oustaloup, La d´erivation non entiere: theeorie, synthese et applications, Herm`es, Paris 1995.
  • [3] I. Podlubny, Fractional Differential Equations, Academic Press, London 1999.
  • [4] S.G. Samko, A.A. Kilbas, and O.I. Marichev, Fractional Integrals and Derivatives, Gordon and Breach Science Publishers, London 1993.
  • [5] R. Caponetto, G. Dongola, L. Fortuna, and I. Petras, Fractional Order Systems: Modeling and Control Applications, 175 World Scientific Series on Nonlinear Science: Series, vol. 72, Singapore, 2010.
  • [6] S. Das, Functional Fractional Calculus for System Identification and Controls, 239 Springer-Verlag, Berlin-Heidelberg, 2009.
  • [7] S. Guermah, S. Djennoune, and M. Bettayeb, “Discrete-Time Fractional-Order Systems: Modeling and Stability Issues”, Advances in Discrete Time Systems, pp. 183–212, 2010.
  • [8] M.D. Ortigueira, Fractional Calculus for Scientists and Engineers, 239. Springer Science + Business Media B.V., Dodrecht Heidelberg London New York 2011.
  • [9] J. Sabatier, O.P. Agrawal, and T.A. Machado, Advances in Fractional Calculus. Theoretical Developments and Applications in Physics and Engineering, Springer Verlag, Dordrecht 2007.
  • [10] P. Ostalczyk, Discrete Fractional-Calculus, World-Scientific, Singapore 2016.
  • [11] C.A. Vinagre, T.A. Monje, and A.J. Caldero, Fractional order systems and fractional order actions, Tutorial Workshop#2: Fractional Calculus Applications in Automatic Control and Robotics. 41st IEEE CDC 2002, pp. 2550–2554.
  • [12] M. Wyrwas and D. Mozyrska, On Mittag–Leffler STABIlity of Fractional Order Difference Systems, Lecture Notes in Electrical Engineering: Advances in the Theory and Applications of Non-integer Order Systems, Ed. Latawiec K.J. and Łukaniszyn M. and Stanisławski R., Springer, 2014, pp. 191-197.
  • [13] L. Ljung, System Identification. Theory for the User, Prentice Hall Ptr, Upper Saddle River 1999.
  • [14] M. Axtell and E.M. Bise, “Fractional calculus applications in control systems”, Proc. of the IEEE 1990 International Aerospace and Electronics Conference 2, 563–566 (1990).
  • [15] R.S. Bressan and B. Piccoli, “Introduction to the Mathematical Theory of Control”, AIMS Series on Applied Mathematics 2, p. 312 (2007).
  • [16] C.A. Monje, Y. Chen, B.M. Vinagre, D. Xue, and V. Feliu, Fractional-order Systems and Controls. Fundamentals and Applications (Advances in Industrial Control), 415, Springer-Verlag, London 2010.
  • [17] D. Valerio and J. da Costa, Fractional Processes and Fractional – An Introduction to Fractional Control, The Institution of Engineering and Technology, London 2013.
  • [18] R.S. Barbosa, T.A.Machado, and I.S. Jesus, “Effect of fractional orders in the velocity control of a servo system”, Computers and Mathematics with Applications 59, 1679–1686 (2010).
  • [19] F.M. Atıcı and P.W. Eloe, “A transform method in discrete fractional calculus”, International Journal of Difference Equations 2, 165–176 (2007).
  • [20] I. Petras, “Stability of fractional-order systems with rational orders: A survey”, Fractional Calculus & Applied Analysis 12, 269–298 (2002).
  • [21] H. Sheng, Y. Chen, and T. Qiu, Fractional Processes and Fractional – Order Signal Processing: Techniques and Applications, Signals and Communication Technology, Springer-Verlag, London 2012.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-23980c38-3e97-47fa-b96d-5999db83b1c7
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