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Identification of Multivariable Fractional Order Systems
Author(s) -
Djamah Tounsia,
Bettayeb Maamar,
Djennoune Said
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.675
Subject(s) - multivariable calculus , parametric statistics , system identification , monte carlo method , sensitivity (control systems) , control theory (sociology) , state space representation , mathematics , noise (video) , identification (biology) , state space , fractional calculus , computer science , algorithm , engineering , control engineering , statistics , artificial intelligence , data modeling , biology , botany , control (management) , database , electronic engineering , image (mathematics)
This paper deals with identification of multivariable fractional order systems. The state space model is used, based on the Guidorzi canonical form. An output error identification approach is used, and the parametric sensitivity functions model is developed as a multivariable fractional model. Its simulation is carried out using the fractional bounded integration operator. Different simulations test the method efficiency, and its statistical performance is analyzed, using Monte Carlo simulation at various signal‐to‐noise ratios.