Comparison between two approximation methods of state space fractional systems

DOI10.1016/j.sigpro.2010.03.006zbMath1203.94048OpenAlexW1969260675MaRDI QIDQ612627

Mansouri Rachid, Bettayeb Maamar, Djennoune Said

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.2010.03.006

zbMATH Keywords

integral operatorstate space representationderivative operatorfractional system approximationinitial and steady state error

Mathematics Subject Classification ID

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

Related Items (8)

Identification of Multivariable Fractional Order Systems ⋮ Time-domain simulation of MIMO fractional systems ⋮ Fractional integro-differential calculus and its control-theoretical applications. II. fractional dynamic systems: modeling and hardware implementation ⋮ Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation ⋮ A method for the integer-order approximation of fractional-order systems ⋮ Fractional-order discrete-time Laguerre filters: a new tool for modeling and stability analysis of fractional-order LTI SISO systems ⋮ Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems ⋮ Modeling of discrete-time fractional-order state space systems using the balanced truncation method

Uses Software

• CRONE

Cites Work

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• A method for modelling and simulation of fractional systems
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• Fractional system identification for lead acid battery state of charge estimation
• State-space representation for fractional order controllers
• Vector Fitting fractional system identification using particle swarm optimization
• Optimal low order model identification of fractional dynamic systems
• Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations
• A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems

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