This paper proposes a two steps indirect approach to obtain rational transfer functions (TFs) for implementing the fractional-order Tustin operator (FTO). The coefficients of the rational discrete TF approximation of the FTO are given by closed-form expressions. The proposed coefficients expressions are the basis for proving the zero-pole interlacing of the discrete FTO. The interlaced zero-pole pattern shows a symmetrical configuration on the z- plane.
On the Symmetric Distribution of Interlaced Zero-Pole Pairs approximating the Discrete Fractional Tustin Operator / Maione, Guido; Lazarević, Mihailo P.. - ELETTRONICO. - (2019), pp. 2578-2583. (Intervento presentato al convegno IEEE International Conference on Systems, Man and Cybernetics, SMC 2019 tenutosi a Bari, Italy nel October 6-9, 2019).
On the Symmetric Distribution of Interlaced Zero-Pole Pairs approximating the Discrete Fractional Tustin Operator
Guido Maione;
2019
Abstract
This paper proposes a two steps indirect approach to obtain rational transfer functions (TFs) for implementing the fractional-order Tustin operator (FTO). The coefficients of the rational discrete TF approximation of the FTO are given by closed-form expressions. The proposed coefficients expressions are the basis for proving the zero-pole interlacing of the discrete FTO. The interlaced zero-pole pattern shows a symmetrical configuration on the z- plane.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
