Closed-Form Rational Approximations of Fractional, Analog and Digital Differentiators/Integrators

作     者：Maione, Guido 

作者机构：Politecn Bari Diparitmento Ingn Elettr & Informaz I-70125 Bari Italy 

出 版 物：《IEEE JOURNAL ON EMERGING AND SELECTED TOPICS IN CIRCUITS AND SYSTEMS》 (IEEE J. Emerg. Sel. Top. Circuits Syst.)

年 卷 期：2013年第3卷第3期

页      面：322-329页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 

基　　金：Italian Ministry of University and Research under project "Non integer order systems inmodeling and control" [2009F4NZJP] 

主　　题：Analog and discrete fractional-order operators approximation continued fractions fractional-order controllers realization of noninteger order circuits and systems 

摘      要：This paper provides closed-form formulas for coefficients of convergents of some popular continued fraction expansions (CFEs) approximating g(nu), with -1 nu 1, and (2/T)(nu)((z-1)/(z+1))(nu). The expressions of the coefficients are given in terms of and of the degree of the polynomials defining the convergents. The formulas greatly reduce the effort for approximating fractional operators and show the equivalence between two well-known CFEs in a given condition.