Implementation ofarbitrary order fractance circuit using Padé rational approximation method
Chong Tao · Journal of Sichuan University · 2013
A new method in design of arbitrary order fractance circuit based on Pade rational approximation is presented.Rational system function is derived to approach ideal fractance by Pade method.Order-frequency function,error index,approximate band and K-index are defined and used to be criterion for estimating the results of approximation.The stability and the realization are discussed.Comparison of different approximation methods is discussed in approximation results and system complexity.The results compared to the different methods verified the efficiency of Pade method in practical applications,and expanded the scope of the study in design of analog fractance circuit and fractional calculus.