One-shot set-membership identification of Generalized Hammerstein–Wiener systems

Automatica ◽  
2020 ◽  
Vol 118 ◽  
pp. 109028
Author(s):  
Vito Cerone ◽  
Valentino Razza ◽  
Diego Regruto
Keyword(s):  
Set Membership ◽  
Wiener Systems

scholarly journals Risk Adjusted Set Membership Identification of Wiener Systems

2009 ◽  
Vol 54 (5) ◽  
pp. 1147-1152 ◽  
Author(s):  
M. Sznaier ◽  
Wenjing Ma ◽  
O.I. Camps ◽  
Hwasup Lim
Keyword(s):  
Set Membership ◽  
Wiener Systems

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 Dual Set Membership Filter with Minimizing Nonlinear Transformation of Ellipsoid

2021 ◽  
pp. 1-1
Author(s):  
Zhiguo Wang ◽  
Xiaojing Shen ◽  
Haiqi Liu ◽  
Fanqin Meng ◽  
Yunmin Zhu
Keyword(s):  
Nonlinear Transformation ◽  
Set Membership
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