Solutions to the Sub-Optimality and Stability Issues of Recursive Pole and Zero Distribution Algorithms for the Approximation of Fractional Order Models

Jocelyn Sabatier (1)

1 IMS - Laboratoire de l'intégration, du matériau au système

This paper analyses algorithms currently found in the literature for the approximation of fractional order models and based on recursive pole and zero distributions. The analysis focuses on the sub-optimality of the approximations obtained and stability issues that may appear after approximation depending on the pole location of the initial fractional order model. Solutions are proposed to reduce this sub-optimality and to avoid stability issues.

Mots clés: fractional order system; fractional differentiation; pole and zero recursive distribution approximation

Domaines: Automatique / Robotique

Jocelyn Sabatier. Solutions to the Sub-Optimality and Stability Issues of Recursive Pole and Zero Distribution Algorithms for the Approximation of Fractional Order Models. Algorithms, 2018, 11 (7), pp.103. ⟨10.3390/a11070103⟩. ⟨hal-02501822⟩