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Algorithms 2018, 11(7), 103; https://doi.org/10.3390/a11070103

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

IMS-UMR 5218 CNRS Laboratory, Bordeaux University, 33405 Talence CEDEX, France
Received: 31 May 2018 / Revised: 26 June 2018 / Accepted: 28 June 2018 / Published: 12 July 2018
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Abstract

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. View Full-Text
Keywords: fractional order system; fractional differentiation; pole and zero recursive distribution approximation fractional order system; fractional differentiation; pole and zero recursive distribution approximation
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Sabatier, J. 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, 103.

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