Development of a toolbox for frequency response analysis of fractional order control systems

ECCTD 2009 - European Conference on Circuit Theory and Design Conference Program

Volumn , Issue , 2009, Pages 866-869

  Yeroglu, Celaleddin ^a   Tan, Nusret ^a  

^a INONU UNIVERSITY   (Turkey)

Author keywords

Component; Control system; Fractional order; Frequency response; Toolbax

Indexed keywords

BODE PLOTS; FRACTIONAL ORDER; FRACTIONAL ORDER CONTROL SYSTEM; FREQUENCY RESPONSE ANALYSIS; FREQUENCY RESPONSE PLOTS; GAIN AND PHASE MARGIN; NYQUIST PLOTS;

CIRCUIT THEORY; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEMS; FIBER OPTIC CHEMICAL SENSORS; MATLAB;

FREQUENCY RESPONSE;

EID: 71249092174     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ECCTD.2009.5275122     Document Type: Conference Paper

References (21)

1. I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, California, 1999.
2. R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific, Singapore, 2000.
3. C. A. Monje, B. M. Vinagre, V. Feliu, Y.Q. Chen, "Tuning and autotuning of fractional order controllers for industry applications", Control Engineering Practice, vol. 16, pp. 798-812, 2008.
4. A. Oustaloup, F. Levron, B Mathieu, and F. M. Nanot, "Frequency-Band Complex Noninteger Differentiator: Characterization and Synthesis", IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 47, No. 1, 2000.
5. S. Westerlund, "Dead matter has memory! (capacitor model)," Physica Scripta, vol. 43, no. 2, pp. 174-179, Feb. 1991.
6. B. Mandelbrot and J.W. Van Ness, "Fractional brownian motions, fractional noises and applications," SIAM Rev., vol. 10, no. 4, Oct. 1968.
7. A. Oustaloup, La Commande CRONE: Commande Robuste d'Ordre Non Entier, Hermes, Paris, 1991.
8. C.A. Monje, F. Ramos, V. Feliu and B.M. Vinagre, "Tip position control of a lightweight flexible manipulator using a fractional order controller", IET Control Theory Appl, Vol. 1(5), pp. 1451-1460, 2007.
9. μ controllers", IEEE Transactions on Automatic Control, vol. 44(1), pp. 208-214, 1999.
10. B. Vinagre, I. Podlubny, L Dorcak and V. Feliu, "On fractional PID controllers: A frequency domain approach", In IFAC workshop on digital control, past, present and future of PID control, Terrasa, Spain pp. 53-58, 2000.
11. 2 norm of fractional differential systems", ASME 2003 design engineering technical conferences and computers and information in engineering conference, Chicago, USA, 2003.
12. ∞ norm minimisation", Selected Topics in Modelling and Control, vol. 3, pp. 50-54, 2002.
13. R. S. Barbosa, J. A. Tenereiro Machado, and I. M. Ferreira, "Tuning of PID Controllers Based on Bode's Ideal Transfer Function", Nonlinear Dynamics vol. 38, pp.305-321, 2004.
14. Y. Q. Chen and K. L. Moore, "Discretization schemes for fractional order differentiators and integrators", IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 49(3), pp. 363-367, 2002.
15. Y. Q. Chen, B. M. Vinagre and I. Podlubny, "Continued fraction expansion approaches to discretizing fractional order derivatives - An expository review", Nonlinear Dynamics, vol. 38(1-4), pp. 155-170, 2004.
16. I. Podlubny, I. Petras, B. M. Vinagre, P. O'Leary, and L. Dorcak "Analogue realizations of fractional-order controllers", Nonlinear Dynamics, vol. 29(1-4), pp. 281-296, 2002.
17. D. Xue, Y. Q. Chen, "A comperative Introduction of Four Fractional Order Controllers", Proc the 4th World Congress, Intelligent Control and Auto. 02 vol.4, pp. 3228-3235, 2002.
18. W. Jifeng, L. Yuankai, "Frequncy domain Analysis and Applications for Fractional Order Control System", IOP, Journal of Physics: Conf. 13, pp. 268-273, 2005.
19. M. Schlegel1, M. Čech2, "Fractal System Identification For Robust Control- The Moment Approach", Department of Cybernetics, University of West Bohemia in Pilsen Univerzitn, Pilsen.
20. Č.Martin, S. Miloš, "PID controller design on Internet: www.PIDlab.com", Department of Cybernetics, University of West Bohemia in Pilsen
21. D. Xue, Y.Q. Chen, D. P. Atherton Linear Feedback Control Analysis and Design with MATLAB, Advances in Design and Control, Siam, 2007.