Evaluation and comparison of integer-order approximations for fractional integrators for application to fractional-order Chua systems

2011 IEEE International Conference on Signal and Image Processing Applications, ICSIPA 2011

Volumn , Issue , 2011, Pages 307-311

  Varshney, P ^a  

^a NETAJI SUBHAS INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CHUA SYSTEM; DISCRETIZATIONS; FRACTIONAL OPERATORS; FRACTIONAL ORDER; HARDWARE REALIZATION; INITIAL CONDITIONS; INTEGER ORDER; NON-LINEARITY; Z-DOMAIN;

CHAOTIC SYSTEMS;

IMAGE PROCESSING;

EID: 84857489358     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICSIPA.2011.6144082     Document Type: Conference Paper

References (11)

1. I. Petras, "A note on the fractional-order Chua's system, " Chaos, Solitons & Fractals, Vol. 38, Issue 1, Oct. 2008, pp 140-147.
2. C. F Lorenzo, T. T Hartley, H. K. Qammar, "Chaos in a Fractional Order Chua System, " IEEE Transactions on Circuits & Systems-I: Fundamental Theory and Applications, Vol 42, No. 8, Aug 1995, pp. 485-490.
3. C. F Lorenzo, T. T Hartley, H. K. Qammar, "Chaos in a Fractional Order Chua System, " NASA Technical Paper 3543, Jan. 1996, pp 1-21.
4. I. Podlubny, "Fractional-order systems and PIDcontrollers", IEEE Transactions on automatic control, Vol. 44, No. 1, Jan. 1999.
5. Y. Q. Chen, and K. L. Moore, "Discretization schemes for fractionalorder differentiators and integrators", IEEE Trans. on Circuits and Systems-1: Fundamental Theory and Applications, Vol. 49, No. 3, March 2002.
6. L. Dorcak, I. Petras, J. Terpak and Martin Zborovjan, "Comparison of the methods for discrete approximation of the fractional-order operator", Acta Montanistica Slovaca, 2003, pp. 236-239.
7. C. C. Tseng and S. L. Lee, "Design of Fractional Order Digital Differentiator Using Radial Basis Function, " IEEE Transactions on Circuits and Systems I: Regular Papers, July 2010, Vol 57, Issue 7, pp. 1708-1718.
8. M. Gupta, P. Varshney, G. S. Visweswaran and B. Kumar, "Novel Digital differentiator and corresponding fractional order differentiator models", SIGMAP 2008, Portugal, pp. 47-54.
9. W. Ditto and T. Munakata, "Principles and Applications of Chaotic Systems, " Communications of the ACM 1995, Vol. 38, pp. 96-102.
10. Website. [Online] http://www.imho.com/grae/chaos/chaos. html, "Chaos Theory: A Brief Introduction
11. C. P. Silva and A. M. Young, "Introduction to Chaos-based communications and Signal Processing, " 2000 IEEE Aerospace Conference Reprint, pp 1-21.