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Tytuł artykułu

Fractional variable order anti-windup control strategy

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, a novel anti-windup strategy is presented. It is based on using fractional variable order integrator instead of integer order one in PID controller. It is shown that among four different types of variable order derivative definitions, only one gives satisfactory results – comparable, and even slightly better than the classical back-calculation anti-windup algorithm. Results are also presented in the form of simulation plots.
Rocznik
Strony
427--432
Opis fizyczny
Bibliogr. 24 poz., rys., wykr.
Twórcy
autor
  • Warsaw University of Technology, Faculty of Electrical Engineering, 75 Koszykowa St., 00-625 Warsaw, Poland
autor
  • Warsaw University of Technology, Faculty of Electrical Engineering, 75 Koszykowa St., 00-625 Warsaw, Poland
Bibliografia
  • [1] K. Astrom, Advanced PID Control, ISA, Research Triangle Park, NC, 2005.
  • [2] A. Visioli, Practical PID Control, Springer-Verlag London, 2006.
  • [3] F. Ikeda, R. Toyama, and S. Toyama, “Anti-windup controller design by fractional calculus for linear control systems with input saturation”, in 2009 ICCAS-SICE, pp. 3317–3320, 2009.
  • [4] F. Padula, A. Visioli, and M. Pagnoni, “On the anti-windup schemes for fractional-order pid controllers”, in Proc. of 2012 IEEE 17th International Conference on Emerging Technologies Factory Automation (ETFA), pp. 1–4, Sept 2012.
  • [5] S. Pandey, P. Dwivedi, and A. Junghare, “Anti-windup fractional order PI-PDμ controller design for unstable process: A magnetic levitation study case under actuator saturation”, Arabian Journal for Science and Engineering, Apr 2017.
  • [6] S. Pandey, P. Dwivedi, and A. Junghare, “A novel 2-dof fractional-order PI-Dμ controller with inherent anti-windup capability for a magnetic levitation system”, AEU – International Journal of Electronics and Communications (79), 158– 171 (2017).
  • [7] S. Pandey, N.K. Soni, and R.K. Pandey, “Fractional order integral and derivative (foid) controller with anti-windup for temperature profile control”, in 2015 2nd International Conference on Computing for Sustainable Global Development (INDIACom), pp. 1567–1573, March 2015.
  • [8] H. Sheng, H. Sun, C. Coopmans, Y. Chen, and G.W. Bohannan, “Physical experimental study of variable-order fractional integrator and differentiator”, in Proc. of the 4th IFAC Workshop Fractional Differentiation and its Applications FDA, 2010.
  • [9] L. Ramirez and C. Coimbra, “On the variable order dynamics of the nonlinear wake caused by a sedimenting particle”, Physica D-Nonlinear Phenomena 240(13), 1111–1118 (2011).
  • [10] C.-C. Tseng, “Design and application of variable fractional order differentiator”, in Proc. of the 2004 IEEE Asia-Pacific Conference on Circuits and Systems 1, 405–408 (2004).
  • [11] C.-C. Tseng and S.-L. Lee, “Design of variable fractional order differentiator using infinite product expansion”, in Proc. of 20th European Conference on Circuit Theory and Design (ECCTD), pp. 17–20, 2011.
  • [12] H. Sheng, H. Sun, Y. Chen, and T. Qiu, “Synthesis of multifractional gaussian noises based on variable-order fractional operators”, Signal Processing 91(7), 1645–1650 (2011).
  • [13] D. Sierociuk, I. Podlubny, and I. Petras, “Experimental evidence of variable-order behavior of ladders and nested ladders”, Control Systems Technology, IEEE Transactions on 21(2), 459–466 (2013).
  • [14] P. Ostalczyk, “Variable-, fractional-order discrete PID controllers”, in Proc. of the IEEE/IFAC 17th International Conference on Methods and Models in Automation and Robotics (MMAR), pp. 534–539, Międzyzdroje, Poland, 2012.
  • [15] P. Ostalczyk and P. Duch, “Closed-loop system synthesis with the variable-, fractional- order PID controller”, in Proc. of the IEEE/IFAC 17th International Conference on Methods and Models in Automation and Robotics (MMAR), pp. 589–594, Międzyzdroje, Poland, 2012.
  • [16] P. Ostalczyk and T. Rybicki, “Variable-fractional-order deadbeat control of an electromagnetic servo”, Journal of Vibration and Control 14(9–10), 1457–1471 (2008).
  • [17] C. Lorenzo and T. Hartley, “Variable order and distributed order fractional operators”, Nonlinear Dynamics 29(1–4), 57–98 (2002).
  • [18] D. Valerio and J.S. da Costa, “Variable-order fractional derivatives and their numerical approximations”, Signal Processing 91(3, SI), 470–483 (2011).
  • [19] M. Macias and D. Sierociuk, “An alternative recursive fractional variable-order derivative definition and its analog validation”, in Proc. of International Conference on Fractional Differentiation and its Applications, Catania, Italy, 2014.
  • [20] D. Sierociuk, W. Malesza, and M. Macias, “On a new definition of fractional variable-order derivative”, in Proc. of the 14th International Carpathian Control Conference (ICCC), Rytro, Poland, pp. 340–345, 2013.
  • [21] P. Ostalczyk, D.W. Brzezinski, P. Duch, M. Łaski, and D. Sankowski, “The variable, fractional-order discrete-time pd controller in the IISv1.3 robot arm control”, Central European Journal of Physics 11(6), 750–759 (2013).
  • [22] P. Sakrajda and D. Sierociuk, Modeling Heat Transfer Process in Grid-Holes Structure Changed in Time Using Fractional Variable Order Calculus, Springer International Publishing, Cham, pp. 297–306, 2017.
  • [23] D. Sierociuk and M. Twardy, “Duality of variable fractional order difference operators and its application to identification”, Bull. Pol. Ac.: Tech. 62(4), 809–815 (2014).
  • [24] W. Malesza, D. Sierociuk, and M. Macias, Solution of fractional variable order differential equation, American Control Conference, Chicago, IL, USA, pp. 1537–1542, 2015.
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-6179b015-46cb-4871-a216-e25dd1bdb2aa
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