Stability preservation analysis in direct discretization of fractional order transfer functions

DOI10.1016/j.sigpro.2010.06.009zbMath1203.94054OpenAlexW1970247528MaRDI QIDQ612637

Milad Siami, Mohammad Haeri, Mohammad Saleh Tavazoei

Publication date: 29 December 2010

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sigpro.2010.06.009

zbMATH Keywords

discretizationstabilityapproximationfractional order system

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fractional ordinary differential equations (34A08)

Related Items (7)

A comparative analysis of Laguerre-based approximators to the Grünwald-Letnikov fractional-order difference ⋮ Stabilization and passification of distributed-order fractional linear systems using methods of preservation ⋮ Passively realizable approximations of non-realizable fractional order impedance functions ⋮ New stability tests for discretized fractional-order systems using the Al-Alaoui and Tustin operators ⋮ Fractional-order discrete-time Laguerre filters: a new tool for modeling and stability analysis of fractional-order LTI SISO systems ⋮ New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions ⋮ Memory-Effective Modifications of PSE Approximation

Uses Software

• CRONE

Cites Work

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• Rational approximations in the simulation and implementation of fractional-order dynamics: a descriptor system approach
• Two direct Tustin discretization methods for fractional-order differentiator/integrator.
• Numerical simulations of fractional systems: An overview of existing methods and improvements
• Stability Preservation Analysis for Frequency-Based Methods in Numerical Simulation of Fractional Order Systems

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