Set membership parameter estimation of fractional models based on bounded frequency domain data

2010 ◽  
Vol 15 (4) ◽  
pp. 927-938 ◽  
Author(s):  
Rachid Malti ◽  
Tarek Raïssi ◽  
Magalie Thomassin ◽  
Firas Khemane
Keyword(s):  
Parameter Estimation ◽  
Frequency Domain ◽  
Set Membership ◽  
Fractional Models

scholarly journals Set membership estimation of fractional models in the frequency domain

2008 ◽  
Vol 41 (2) ◽  
pp. 4078-4083 ◽  
Author(s):  
F. Khemane ◽  
R. Malti ◽  
M. Thomassin ◽  
T. Raïssi
Keyword(s):  
Frequency Domain ◽  
Set Membership ◽  
Fractional Models

Robust estimation of fractional models in the frequency domain using set membership methods

2012 ◽  
Vol 92 (7) ◽  
pp. 1591-1601 ◽  
Author(s):  
Firas Khemane ◽  
Rachid Malti ◽  
Tarek Raïssi ◽  
Xavier Moreau
Keyword(s):  
Frequency Domain ◽  
Robust Estimation ◽  
Set Membership ◽  
Fractional Models

OBE-based Set-Membership Parameter Estimation of Fractional Models

2016 ◽  
Author(s):  
M. Amairi ◽  
S. Najar ◽  
M. Aoun ◽  
Z. Lassoued ◽  
M. N. Abdelkrim
Keyword(s):  
Parameter Estimation ◽  
Set Membership ◽  
Fractional Models

scholarly journals Set-membership identifiability of nonlinear models and related parameter estimation properties

2016 ◽  
Vol 26 (4) ◽  
pp. 803-813 ◽  
Author(s):  
Carine Jauberthie ◽  
Louise Travé-MassuyèEs ◽  
Nathalie Verdière
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Dynamic System ◽  
Nonlinear Models ◽  
Differential Algebra ◽  
Related Parameter ◽  
Set Membership ◽  
Estimation Problems ◽  
The Mathematical Model

Abstract Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and the solution returned by the algorithm used to solve them. This paper also contributes by carefully motivating and comparing SM-identifiability, μ-SM-identifiability and ε-SM-identifiability with related properties found in the literature, and by providing a method based on differential algebra to check these properties.

Set-Membership Constrained Frequency-Domain Algorithm

2020 ◽  
pp. 1-1
Author(s):  
Markus V. S. Lima ◽  
Paulo S. R. Diniz ◽  
Hamed Yazdanpanah
Keyword(s):  
Frequency Domain ◽  
Set Membership
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