Control of an Oriented PV System with the Use of a Discrete, Robust, Fractional Order PID Controller

  • Krzysztof OprzedkiewiczEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 350)


In the paper the proposition a fractional order, robust, discrete PID controller dedicated to minimum-energy control an interval - parameter, oriented PV system is presented. A tuning of robust controller with use of different cost function is also proposed. Results are by an example depicted.


robust control fractional order PID oriented PV system minimal-energy control 


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  1. 1.
    Athans, M., Falb, P.L.: Optimal Control. An Introduction to the Theory and Its Applications. Dover (2007)Google Scholar
  2. 2.
    Caponetto, R., Dongola, G., Fortuna, L., Petr, I.: Fractional Order Systems: Modeling and Control Applications. In: Chua, L.O. (ed.), New Jersey, London. Series on Nonlinear Science, vol. 72, pp. 1–178 (2010)Google Scholar
  3. 3.
    Das, S.: Functional Fractional Calculus for System Identyfication and Control. Springer, Berlin (2010)Google Scholar
  4. 4.
    Kaczorek, T.: Selected Problems of Fractional Systems Theory. Springer, Berlin (2011)CrossRefzbMATHGoogle Scholar
  5. 5.
    Mitkowski, W., Oprzedkiewicz, K.: Optimal control for an uncertain parameters, second order plant with the use of discrete controller. Journal of Mathematics and System Science 2(4), 258–263 (2012)Google Scholar
  6. 6.
    Mitkowski, W., Oprzędkiewicz, K.: Fractional-order p2Dβ controller for uncertain parameter DC motor. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds.) Theory & Appl. of Non-integer Order Syst. Lecture Notes in Electrical Engineering, vol. 257, pp. 249–259. Springer, Heidelberg (2013)CrossRefGoogle Scholar
  7. 7.
    Mitkowski, W., Oprzedkiewicz, K.: Tuning of the half-order robust PID controller dedicated to oriented PV system. LNEE. Springer (2014)Google Scholar
  8. 8.
    Oprzedkiewicz, K.: A robust suboptimal PD servo controller for an oriented PV system, vol. 16(1), pp. 59–71 (2012), ISSN 1429-3447
  9. 9.
    Oprzedkiewicz, K., Glowacz, W., Zaczyk, M., Teneta, J., Wieckowski, L.: An identification of interval model an elevation angle in oriented PV system. In: Electrotechnical Review 2014, vol. 8, pp. 243–247. Sigma-NOT (2014)Google Scholar
  10. 10.
    Padula, F., Visioli, A.: Tuning rules for optimal PID and fractional-order PID controllers. Journal of Process Control 21, 69–81 (2011)CrossRefGoogle Scholar
  11. 11.
    Pan, I., Das, S.: Intelligent Fractional Order Systems and Control. An Introduction. Studies in Computational Intelligence, vol. 438. Springer, Berlin (2013)CrossRefzbMATHGoogle Scholar
  12. 12.
    Petr, I.: Fractional-Order Feedback Control of a DC Motor. J. of Electrical Engineering 60(3), 117–128 (2009)Google Scholar
  13. 13.
    Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)zbMATHGoogle Scholar
  14. 14.
    Podlubny, I.: Fractional - order systems and controllers. IEEE Trans. on Automatic Control 44(1), 208–214 (1999)CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Faculty of Electrotechnics, Automatics, Informatics and Biomedical Engineering, Dept. of Automatics and Biomedical EngineeringAGH UniversityKrakowPoland

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