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.

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

Set-membership parameter estimation based on Voronoi vertices

2021 ◽  
pp. 105125
Author(s):  
D Reyes Lastiri ◽  
H.J. Cappon ◽  
K.J. Keesman
Keyword(s):  
Parameter Estimation ◽  
Set Membership

scholarly journals Set Membership Parameter Estimation and Design of Experiments Using Homothety

2011 ◽  
Vol 44 (1) ◽  
pp. 9035-9040 ◽  
Author(s):  
S. Borchers ◽  
S.V. Raković ◽  
R. Findeisen
Keyword(s):  
Parameter Estimation ◽  
Design Of Experiments ◽  
Set Membership

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

scholarly journals Set-membership nonlinear regression approach to parameter estimation

2018 ◽  
Vol 70 ◽  
pp. 80-95 ◽  
Author(s):  
Nikola D. Perić ◽  
Radoslav Paulen ◽  
Mario E. Villanueva ◽  
Benoît Chachuat
Keyword(s):  
Parameter Estimation ◽  
Nonlinear Regression ◽  
Set Membership ◽  
Regression Approach

scholarly journals Set-Membership Parameter Estimation: Improved Understanding of Microgel Polymerization

2019 ◽  
Vol 52 (1) ◽  
pp. 580-585
Author(s):  
Falco Jung ◽  
Adrian Caspari ◽  
Adel Mhamdi ◽  
Alexander Mitsos
Keyword(s):  
Parameter Estimation ◽  
Set Membership
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