论文信息 - Active and Passive Realization of Fractance Device of Order 1/2

Active and Passive Realization of Fractance Device of Order 1/2

Active and passive realization of Fractance device of order 1/2 is presented. The crucial point in the realization of fractance device is finding the rational approximation of its impedance function. In this paper, rational approximation is obtained by using continued fraction expansion. The rational approximation thus obtained is synthesized as a ladder network. The results obtained have shown considerable improvement over the previous techniques.

B. T. Krishna | K. V. V. S. Reddy | K. V. Reddy | B. T. Krishna | K. V. V. S. Reddy

[1] K. B. Oldham,et al. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[2] C. Halijak,et al. Approximation of Fractional Capacitors (1/s)^(1/n) by a Regular Newton Process , 1964 .

[3] Van Valkenburg,et al. Introduction to Modern Network Synthesis , 1960 .

[4] I. Podlubny. Fractional-Order Systems and -Controllers , 1999 .

[5] Yuan Xiao,et al. Structuring analog fractance circuit for 1/2 order fractional calculus , 2005, 2005 6th International Conference on ASIC.

[6] I. Podlubny,et al. Analogue Realizations of Fractional-Order Controllers , 2002 .

[7] Hironori A. Fujii,et al. H(infinity) optimized wave-absorbing control - Analytical and experimental results , 1993 .

[8] Aleksander Stanislavsky,et al. Twist of fractional oscillations , 2005, 1111.5298.

[9] M. Nakagawa,et al. Basic Characteristics of a Fractance Device , 1992 .