Solutions to the sub-optimality and stability issues of recursive pole and zero distribution algorithms for the approximation of fractional order models

DOI10.3390/a11070103zbMath1461.65226OpenAlexW2874891912WikidataQ129532462 ScholiaQ129532462MaRDI QIDQ2287490

Jocelyn Sabatier

Publication date: 21 January 2020

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a11070103

zbMATH Keywords

fractional differentiationfractional order systempole and zero recursive distribution approximation

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99) Fractional ordinary differential equations (34A08)

Related Items

Limited frequency band diffusive representation for nabla fractional order transfer functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• How to impose physically coherent initial conditions to a fractional system?
• A method for modelling and simulation of fractional systems
• Fractional system identification for lead acid battery state of charge estimation
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• State-space representation for fractional order controllers
• Comments on the description and initialization of fractional partial differential equations using Riemann-Liouville's and Caputo's definitions
• On observability and pseudo state estimation of fractional order systems
• Approximation of a fractional order model by an integer order model: a new approach taking into account approximation error as an uncertainty
• Diversity and Non‐Integer Differentiation for System Dynamics