PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!
  • Sesja wygasła!
  • Sesja wygasła!
Tytuł artykułu

Design of Fractional Order Controller Satisfying Given Gain and Phase Margin for a Class of Unstable Plant with Delay

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper describes the design problem of fractional order controller satisfying gain and phase margin of the closed loop system with unstable plant with delay. The proposed method is based on using Bode's ideal transfer function as a reference transfer function of the open loop system. Synthesis method is based on simplify of the object transfer function. Fractional order of the controllers is relative with gain and phase margin only. Computer method for synthesis of fractional controllers is given. The considerations are illustrated by numerical example and results of computer simulation with MATLAB/Simulink.
Rocznik
Strony
41--45
Opis fizyczny
Bibliogr. 15 poz., Wykr.
Twórcy
autor
  • Białystok University of Technology, Faculty of Electrical Engineering, ul. Wiejska 45 D, 15-351 Białystok, Poland, tomek.nartowicz@gmail.com
Bibliografia
  • 1. Barbosa R. S., Machado J. A., Ferreira I. M. (2004), Tuning of PID controllers based on Bode's ideal transfer function, Nonliner Dynamics, Vol. 38, 305-321.
  • 2. Boudjehem B., Boudjehem D., Tebbikh H. (2008), Simple analytical design method for fractional-order controller, Proc. 3-rd IFAC Workshop on Fractional Differentiation and its Applications, Ankara, Turkey (CD-ROM).
  • 3. Busłowicz M. (2008a), Frequency domain method for stability analysis of linear continuous-time fractional systems, in: Malinowski K., Rutkowski L.: Recent Advances in Control and Automation, Academic Publishing House EXIT, Warszawa, 83-92.
  • 4. Busłowicz M. (2008b), Robust stability of convex combination of two fractional degree characteristic polynomials, Acta Mechanica et Automatica, Vol. 2, No. 2, 5-10.
  • 5. Busłowicz M. (2009), Stability analysis of linear continuous-time fractional systems of commensurate order, Journal of Automation, Mobile Robots and Intelligent Systems, Vol. 3, 15-21.
  • 6. Busłowicz M., Nartowicz T. (2009), Fractional order contro ller far a class of inertial plant with delay, Pomiary Automatyka Robotyka, 2/2009, 398-405.
  • 7. Das. S. (2008), Functional Fractional Calculus for System Identification and Controls, Springer, Berlin.
  • 8. Kilbas A. A., Srivastava H. M., Trujillo J. J. (2006), Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam.
  • 9. Oustaloup A., Sabatier J., Lanusse P., Malti R., Melchior P., Moreau X., Moze M. (2008), An overview of the CRONE approach in system analysis, modeling and identification, observation and control, Proc. 17th World Congress IFAC, Soul, 14254-14265.
  • 10. Podlubny I. (1994), Fractional order systems and fractional order controllers, The Academy of Sciences Institute of Experimental Physics, Kosice, Slovak Republic.
  • 11. Podlubny I. (1999a), Fractional Differential Equations, Academic Press, San Diego.
  • 12. Podlubny I. (1999b), Fractional-order systems and PID-controllers, IEEE Trans. Autom. Control, Vol. 44, No. 1, 208-214.
  • 13. Skogestad S. (2001), Probably the best simple PID tuning rules in the world, AIChE Annual Meeting, Reno, Nevada.
  • 14. Valerio D. (2005), Fractional Robust Systems Control. PhD Dissertation, Technical University of Lisbona.
  • 15. Valerio D., da Costa J. S. (2006), Tuning of fractional PID controllers with Ziegler-Nichols type rules, Signal Processing, Vol. 86, 2771-2784.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0074-0002
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.