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Badania porównawcze układów regulacji z regulatorami niecałkowitego rzędu
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Abstrakty
The paper presents the realization of fractional order controller implemented in National Instruments sbRIO-9631 controller programmed in LabView. In order to digitally realize the fractional order controller transfer function, operator-based continuous fraction expansion (CFE) scheme is applied. DC motor – generator plant model is used as the controlled system. The controlled variable is the speed of the rotor.
W pracy przedstawiono praktyczną realizację regulatora niecałkowitego rzędu w sterowniku National Instruments sbRIO-9631 programowanym w środowisku LabView. W celu wyznaczenia dyskretnej transmitancji aproksymującej transmitancję ciągłą regulatora niecałkowitego rzędu wykorzystano rozwinięcie transmitancji niewymiernej w ułamek łańcuchowy i przyjęcie skończonej liczby elementów tego rozwinięcia. Obiektem regulacji jest model zespołu silnik - generator z silnikiem prądu stałego. Wielkością regulowaną jest prędkość obrotowa wału silnika.
Wydawca
Czasopismo
Rocznik
Tom
Strony
204--208
Opis fizyczny
Bibliogr. 24 poz., rys., tab., wykr.
Twórcy
autor
autor
- Politechnika Białostocka, Wydział Elektryczny, ul. Wiejska 45d, 15-351 Białystok, andrusz@pb.edu.pl
Bibliografia
- [1] Das S., Functional fractional calculus for system identification and controls, Springer, Berlin, 2008
- [2] Kaczorek T., Selected Problems of Fractional Systems Theory, Springer, Berlin, 2011
- [3] Kilbas A. A., Srivastava H. M., Trujillo J. J., Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006
- [4] Ostalczyk P., Epitome of the Fractional Calculus, Theory and its Applications in Automatics, Publishing Department of Technical University of Łódź, 2008 (in Polish)
- [5] Oustaloup A., La commande crone: du scalaire au multivariable, Editions Hermes, Paris, 1999
- [6] Pommier V., Sabatier J., Lanuse P., Oustaloup A., Crone control of nonlinear hydraulic actuator, Control Engineering Practice, 10 (2002), 391-402
- [7] Podlubny, I., Fractional differential equations, Academic Press, California, 1999
- [8] Podlubny I., Fractional-order systems and PIλDμ -controllers, IEEE Trans. on Automatic Control, 44 (1999), 208-214
- [9] Biswas A., Das S., Abraham A., Dasgupta S., Design of fractional-order PIλDμ controllers with an improved differential evolution, Eng. Appl. Artif. Intell., 22 (2009), n. 2, 343-350
- [10] Caponetto R., Dongola G., Fortuna L., Gallo A., New results on the synthesis of FO-PID controllers, Commun. Nonlinear Sci. Numer. Simul., 15 (2010), n. 4, 997-1007
- [11] Castillo J., Feliu V., Rivas R., Sanchez L., Design of a class of fractional controllers from frequency specifications with guaranteed time domain behavior, Computers and Mathematics with Applications, 59 (2010), n. 5, 1656-1666
- [12] Chen Y.Q., Dou H., Vinagre B. M., Monje C.A., A robust tuning method for fractional order PI controllers, The Second IFAC Symposium on Fractional Derivatives and Applications, Porto, Portugal, 2006
- [13] Luo Y., Chen Y.Q., Fractional order [proportional derivative] controller for a class of fractional order systems, Automatica, 45 (2009), n. 10, 2446-2450
- [14] Monje C. A., Vinagre B. M., Feliu V., Chen Y., Tuning and auto-tuning of fractional order controllers for industry applications, Control Engineering Practice, 16 (2008), 798-812
- [15] O’Dwyer A., PI and PID Controller Tuning Rules, Imperial College Press/Word Scientific, London, 2003
- [16] Hamamci S. E., An algorithm for stabilization of fractionalorder time delay systems using fractional-order PID controllers, IEEE Trans. on Automatic Control, 52 (2007), 1964-1969
- [17] Ruszewski A., Stability regions of closed loop system with time delay inertial plant of fractional order and fractional order PI controller, Bull. Pol. Ac.: Sci. Tech., 56 (2008), n. 4, 329–332
- [18] Ruszewski A., Stabilization of fractional-order inertial plants with time delay using fractional PID controllers, Measurement Automation and Robotics, 2 (2009), 406-414 (in Polish)
- [19] Petras I., Fractional-order feedback control of a DC motor. Journal of Electrical Engineering, 60 (2009), n. 3, 117-128
- [20] Tenreiro M., Galhano A. M., Oliveira A. M., Tar J. K., Approximating fractional derivatives through the generalized mean, Communications in Nonlinear Science and Numerical Simulation, 14 (2009), n. 11, 3723-3730
- [21] Vinagre B. M., Podlubny I., Hernandez A., Feliu V., Some approximations of fractional order operators used in control theory and applications. Fractional Calculus and Applied Analysis, 3 (2000), n. 3, 231-248
- [22] Vinagre B. M., Chen Y.Q. Petras I., Two direct Tustin discretization methods for fractional – order differentiator / integrator, Journal of the Franklin Institute: Engineering and applied mathematics, 340 (2003), 349-362
- [23] Busłowicz M., Selected problems of continuous-time linear systems of non-integer order, Measurement Automation and Robotics, 2 (2010), 93-114 (in Polish)
- [24] Al-Alaoui, M. A., Filling the gap between the bilinear and the backward difference Transforms: an interactive design approach, Int. J. Elect. Eng. Edu., 34 (1997), n. 4, 331-337
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPOB-0052-0037