Nonlinear Dynamics

, Volume 84, Issue 4, pp 2057–2068 | Cite as

Time-domain simulation of MIMO fractional systems

  • Elena Ivanova
  • Rachid Malti
  • Xavier Moreau


The paper proposes an original method for time-domain simulation of MIMO fractional systems based on their rational approximation using Oustaloup’s method. Both commensurate and incommensurate fractional systems are tackled. The main contribution is to propose straightforward formulae allowing to approximate a pseudo-state-space representation of a fractional system with a state-space representation of a rational one whatever the dimension of the original system and whatever the number of poles and zeros used in the approximation.


Fractional systems Simulation Oustaloup’s approximation MIMO 


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.IMS UMR 5218 CNRSUniversity of BordeauxTalenceFrance

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