Discretization schemes for fractional-order differentiators andintegrators
Yang Quan Chen; Moore, K.L.
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Volume 49, Issue 3, Mar 2002 Page(s):363 - 367
Digital Object Identifier   10.1109/81.989172
Summary:For fractional-order differentiator s^r where r is a real number, its discretization is a key step in digital implementation. Two discretization methods are presented. The first scheme is a direct recursive discretization of the Tustin operator. The second one is a direct discretization method using the Al-Alaoui operator via continued fraction expansion (CFE). The approximate discretization is minimum phase and stable. Detailed discretization procedures and short MATLAB scripts are given. Examples are included for illustration

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