Szczegóły

Tytuł artykułu

Stability and robustness analysis of discrete-time fractional-piecewise-constant-order PID controller

Tytuł czasopisma

Bulletin of the Polish Academy of Sciences Technical Sciences

Rocznik

2021

Wolumin

69

Numer

5

Afiliacje

Oziablo, Piotr : Bialystok University of Technology, ul. Wiejska 45A, 15-351 Bialystok, Poland ; Mozyrska, Dorota : Bialystok University of Technology, ul. Wiejska 45A, 15-351 Bialystok, Poland ; Wyrwas, Malgorzata : Bialystok University of Technology, ul. Wiejska 45A, 15-351 Bialystok, Poland

Autorzy

Słowa kluczowe

stability analysis ; fractional calculus ; control systems ; digital control

Wydział PAN

Nauki Techniczne

Zakres

e137937

Bibliografia

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  3.  R. Caponetto, G. Dongola, G. Fortuna, and I. Petras, Fractional Order Systems: Modeling and Control Applications, World Scientific, Singapore, 2010.
  4.  I. Podlubny, “Fractional-order systems and PIlDm controllers”, IEEE Trans. Autom. Control, vol. 44, no. 1, pp. 208–214, 1999.
  5.  D. Xue and Y.Q. Chen, “A Comparative Introduction of Four Fractional Order Controllers”, Proceedings of the 4th World Congress on Intelligent Control and Automation, Shanghai, P.R. China, 2002, pp. 3228–3235.
  6.  Y.Q. Chen, “Ubiquitous fractional order controls?”, IFAC Proc. Vol., vol. 39, no. 11, pp. 481–492, 2006.
  7.  C.A Monje, Y. Chen, B.M. Vinagre, and V. Feliubatlle, Fractional-Order Systems and Fractional-Order Controllers, Springer Science & Business Media, 2010.
  8.  I. Petras, “Tuning and implementation methods for fractionalorder controllers”, Fract. Calc. Appl. Anal., vol. 15, no. 2, pp. 282–303, 2012.
  9.  S. Debarma, L.C. Saikia, and N. Sinha, “Automatic generation control using two degree of freedom fractional order PID controller”, Int. J. Electr. Power Energy Syst., vol. 58, pp. 120–129, 2014.
  10.  F. Padula and A. Visioli, “Set-point weight tuning rules for fractional order PID controllers”, Asian J. Control, vol. 15, no. 3, pp. 678–690, 2013.
  11.  A. Tepljakov, E. Petlenkov, and J. Belikov, “A flexible MATLAB tool for optimal fractional-order PID controller design subject to specifications”, Proceedings of the 31st Chinese Control Conference, 2012, pp. 4698–4703.
  12.  P. Shah and S. Agashe, “Review of fractional PID controller”, Mechatronics, vol. 38, pp. 29–41, 2016.
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  14.  P. Oziablo, D. Mozyrska, and M. Wyrwas, “A Digital PID Controller Based on Grünwald-Letnikov Fractional-, Variable-Order Operator”, 24th International Conference on Methods and Models in Automation and Robotics (MMAR), 2019, pp. 460–465.
  15.  D. Mozyrska, P. Oziablo, and M.Wyrwas, “Fractional-, variableorder PID controller implementation based on two discretetime fractional order operators”, 7th International Conference on Control, Mechatronics and Automation (ICCMA), 2019, pp. 26–32.
  16.  P. Oziablo, D. Mozyrska, and M. Wyrwas, “Discrete-Time Fractional, Variable-Order PID Controller for a Plant with Delay”, Entropy, vol. 22, no. 7, p. 771, 2020.
  17.  P. Ostalczyk, “Variable-, fractional-order discrete PID controllers”, 17th International Conference on Methods and Models in Automation and Robotics (MMAR), 2012, pp. 534–539.
  18.  D. Sierociuk, W. Malesza, and M. Macias, “On a new definition of fractional variable-order derivative”, Proc. of the 14th International Carpathian Control Conference (ICCC), 2013, pp.  340–345.
  19.  D. Sierociuk, and W. Malesza, “Fractional variable order antiwindup control strategy”, Bull. Pol. Acad. Sci. Tech. Sci., vol. 66, no. 4, pp. 427–432, 2018.
  20.  D. Mozyrska and P. Ostalczyk, “Generalized Fractional-Order Discrete-Time Integrator”, Complexity, vol. 2017, p.  3452409, 2017.
  21.  D. Mozyrska, and M. Wyrwas, “Systems with fractional variable-order difference operator of convolution type and its stability”, Elektronika i Elektrotechnika, vol. 24, no. 5, pp. 69‒73, 2018.
  22.  F. Haugen, PID Control, Tapir Academic Press, 2004.
  23.  R.C. Dorf and R.H. Bishop, Modern Control Systems, CRC Press, Taylor & Francis Group, 2018.
  24.  O. Mayr, The origins in feedback control, MIT Press, Cambridge, Mass, 1970.
  25.  F. Haugen, TechTeach: Discrete-time signals and systems, 2005.
  26.  K. Chen, R. Tang, and Ch. Li, “Phase-constrained fractional order PI controller for second-order-plus dead time systems”, Trans. Inst. Meas. Control, vol. 39, no. 8, pp. 1225–1235, 2016.
  27.  M. Micev, M. Calasan, and D. Oliva, “Fractional Order PID Controller Design for an AVR System Using Chaotic Yellow Saddle Goatfish Algorithm”, Mathematics, vol. 8, no. 7, p. 1182, 2020.
  28.  MathWorks. [Online]. Available: https://www.mathworks.com/help/control/ref/stepinfo.html. [Accessed Aug. 28, 2020].
  29.  G.F. Franklin, J.D. Powell, and A. Emami-Naeini, Feedback Control of Dynamic Systems, Prentice Hall, 2004.

Data

26.07.02021

Typ

Article

Identyfikator

DOI: 10.24425/bpasts.2021.137937 ; ISSN 2300-1917
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