Comparison of variable fractional order PID controller for different types of variable order derivatives

Proceedings of the 2013 14th International Carpathian Control Conference, ICCC 2013

Volumn , Issue , 2013, Pages 334-339

  Sierociuk, Dominik ^a   Macias, Michal ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL PROCESS; FRACTIONAL PID CONTROLLERS; FRACTIONAL-ORDER PID CONTROLLERS; NUMERICAL RESULTS; OBJECTIVE FUNCTIONS; PID CONTROLLERS; TUNING ALGORITHM; ZIEGLER-NICHOLS METHOD;

ELECTRIC CONTROL EQUIPMENT; NUMERICAL METHODS;

PROPORTIONAL CONTROL SYSTEMS;

EID: 84883040102     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CarpathianCC.2013.6560565     Document Type: Conference Paper

References (19)

1. D. Sierociuk, A. Dzieliski, G. Sarwas, I. Petras, I. Podlubny, and T. Skovranek, "Modeling heat transfer in heterogeneous media using fractional calculus," in Proceedings of The Fifth Symposium on Fractional Derivatives and Their Applications (FDTA11) as a part of the Seventh ASME/IEEE International Conference on Mechatronics and Embedded Systems and Applications (ASME/IEEE MESA2011). (ASME/IEEE MESA2011), IDETC/CIE 2011, 2011.
2. A. Dzieliski and D. Sierociuk, "Fractional order model of beam heating process and its experimental verification," in New Trends in Nanotechnology and Fractional Calculus Applications, D. Baleanu, Z. B. Guvenc, and J. A. T. Machado, Eds. Springer Netherlands, 2010, pp. 287-294.
3. A. Dzielínski, D. Sierociuk, and G. Sarwas, "Some applications of fractional order calculus," Bulletin of The Polish Academy of Sciences-Technical Sciences, vol. 58, no. 4, pp. 583-592, 2010.
4. A. Dzielinski, G. Sarwas, and D. Sierociuk, "Time domain validation of ultracapacitor fractional order model," in Decision and Control (CDC), 2010 49th IEEE Conference on, dec. 2010, pp. 3730-3735.
5. A. Dzielinski and D. Sierociuk, "Ultracapacitor modelling and control using discrete fractional order state-space model," Acta Montanistica Slovaca, vol. 13, no. 1, pp. 136-145, 2008.
6. H. Sheng, H. Sun, C. Coopmans, Y. Chen, and G. W. Bohannan, "Physical experimental study of variable-order fractional integrator and differentiator," in Proceedings of The 4th IFAC Workshop Fractional Differentiation and its Applications FDA'10, 2010.
7. L. Ramirez and C. Coimbra, "On the variable order dynamics of the nonlinear wake caused by a sedimenting particle," Physica D-Nonlineac Phenomena vol. 240, no. 13, pp. 1111-1118, 2011.
8. C.-C. Tseng, "Design and application of variable fractional order differentiator," in Proceedings of The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, vol. 1, 2004, pp. 405-408.
9. C.-C. Tseng and S.-L. Lee, "Design of variable fractional order differentiator using infinite product expansion," in Proceedings of 20th European Conference on Circuit Theory and Design (ECCTD), 2011, pp. 17-20.
10. H. Sheng, H. Sun, Y. Chen, and T. Qiu, "Synthesis of multifractional gaussian noises based on variable-order fractional operators," Signal Processing, vol. 91, no. 7, pp. 1645-1650, 2011.
11. P. Ostalczyk and T. Rybicki, "Variable-fractional-order dead-beat control of an electromagnetic servo," Journal of Vibration and Control, 2008.
12. P. Ostalczyk, "Stability analysis of a discrete-time system with a variable-, fractional-order controller," Bulletin of the Polish Academy of Sciences: Technical Sciences, vol. 58, no. 4, 2010.
13. D. Sierociuk, I. Podlubny, and I. Petras, "Experimental evidence of variable-order behavior of ladders and nested ladders," Control Systems Technology, IEEE Transactions on, vol. 21, no. 2, pp. 459-466, 2013.
14. H. Sheng, Y. Chen, and T. Qiu, Signal Processing Fractional Processes and Fractional-Order Signal Processing. Springer,London,2012.
15. F. Padula and A. Visioli, "Tuning rules for optimal pid and fractionalorder pid controller," Journal of Process Control, no. 1, p. 69-81, 2011.
16. K. Pettou, A. Charef, and F. Mesquine, "A new design method for fractional pid controller." International Journal of Sciences and Techniques of Automatic Control & Computer Enginieering, no. 1, pp. 414-429, 2008.
17. D. Sierociuk, Fractional Variable Order Derivative Simulink Toolkit, 2012, http://www.mathworks.com/matlabcentral/fileexchange/38801-fractional- variable-order-derivative-simulink-toolkit.
18. J. Ziegler and N. Nichols, "Optimum settings for automatic controllers," Trans. ASME, pp. 798-768, 1942.
19. -, "Process lags in automatic control circuits," Trans. ASME, pp. 433-444, 1943.