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Position control of DC motor using fractional order controller

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents the problem of position control of DC motor with rated voltage 24 V loaded by flywheel. The fractional order PD controller implemented in National Instruments NI ELVIS II programmed in LabView is used for controlling. The simple method for determining stability regions in the controller parameters space is given. Knowledge of these regions permits tuning of the controller and ensures required the phase margin of the system.
Słowa kluczowe
Rocznik
Strony
505--516
Opis fizyczny
Bibliogr. 23 poz., rys., tab., wz.
Twórcy
autor
  • Faculty of Electrical Engineering Białystok University of Technology
  • Faculty of Electrical Engineering Białystok University of Technology
Bibliografia
  • [1] Al-Alaoui M.A., Filling the gap between the bilinear and the backward difference Transforms: aninteractive design approach. Int. J. Elect. Eng. Edu. 34(4): 331-337 (1997).
  • [2] Astrom K.J., Hagglund T., PID Controllers: Theory, Design, and Tuning. 2nd ed. Research Triangle Park, NC: Instrument Society of America (1995).
  • [3] Biswas A., Das, S, Abraham A., Dasgupta S., Design of fractional-order PIλDμ controllers with animproved differential evolution. Engineering Applications of Artificial Intelligence 22(2): 343-350 (2009).
  • [4] Busłowicz M., Selected problems of continuous-time linear systems of non-integer order. Measurement Automation and Robotics 2: 93-114 (2010) (in Polish).
  • [5] Caponetto R., Dongola G., Fortuna L., Gallo A., New results on the synthesis of FO-PID controllers. Communications in Nonlinear Science and Numerical Simulation 15(4): 997-1007 (2010).
  • [6] Castillo J., Feliu V., Rivas R., Sanchez L., Design of a class of fractional controllers from frequencyspecifications with guaranteed time domain behavior, Computers and Mathematics with Applications 59(5): 1656-1666 (2010).
  • [7] Das S., Functional fractional calculus for system identification and controls. Springer, Berlin (2008).
  • [8] Hamamci S.E., An algorithm for stabilization of fractional-order time delay systems using fractional-order PID controllers, IEEE Trans. on Automatic Control 52: 1964-1969 (2007).
  • [9] Kaczorek T., Selected Problems of Fractional Systems Theory. Springer, Berlin (2011).
  • [10] Luo Y., Chen Y.Q., Fractional order [proportional derivative] controller for a class of fractionalorder systems. Automatica 45(10): 2446-2450 (2009).
  • [11] Monje C.A., Vinagre B.M., Feliu V., Chen Y., Tuning and auto-tuning of fractional order controllersfor industry applications. Control Engineering Practice 16: 798-812 (2008).
  • [12] Ostalczyk P., Epitome of the Fractional Calculus, Theory and its Applications in Automatics. Publishing Department of Technical University of Łódź (2008) (in Polish).
  • [13] Petras I., Fractional-order feedback control of a DC motor. Journal of Electrical Engineering 60(3): 117-128 (2009).
  • [14] Petras I., Realization of fractional-order controller based on PLC and its utilization to temperaturecontrol. Transfer inovacii 14: 34-38 (2009).
  • [15] Podlubny I., Fractional differential equations. Academic Press, San Diego (1999).
  • [16] Podlubny I., Fractional-order systems and PIλDμ controllers. IEEE Trans. on Automatic Control 44: 208-214 (1999).
  • [17] Ruszewski A., Stability regions of closed loop system with time delay inertial plant of fractionalorder and fractional order PI controller. Bull. Pol. Ac.: Sci. Tech. 56(4): 329-332 (2008).
  • [18] Ruszewski A., Stabilization of fractional-order inertial plants with time delay using fractional PIDcontrollers. Measurement Automation and Robotics 2: 406-414 (2009) (in Polish).
  • [19] Ruszewski A., Sobolewski A., Comparative studies of control systems with fractional controllers. Przegląd Elektrotechniczny 88(4b): 204-208 (2012).
  • [20] Tenreiro M., Galhano A.M., Oliveira A.M., Tar J.K., Approximating fractional derivatives throughthe generalized mean. Communications in Nonlinear Science and Numerical Simulation 14(11): 3723-3730 (2009).
  • [21] Vinagre B.M., Podlubny I., Hernandez A., Feliu V., Some approximations of fractional orderoperators used in control theory and applications. Fractional Calculus and Applied Analysis 3(3): 231-248 (2000).
  • [22] Vinagre B.M., Chen Y.Q., Petras I., Two direct Tustin discretization methods for fractional - orderdifferentiator/integrator. Journal of the Franklin Institute: Engineering and Applied Mathematics 340: 349-362 (2003).
  • [23] Zhao C., Xue D., Chen Y.Q., A fractional order PID tuning algorithm for a class of fractional orderplants. [In:] Proc. of the IEEE International Conference on Mechatronics & Automation, pp. 216-221, Niagara Falls, Canada (2005).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-2a6c1e6a-af99-4832-b537-da94e471dae3
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