Non-linear System Identification Using Hammerstein-Wiener Model for Hypothetical System

2021 ◽  
Author(s):  
Vikas Kumar ◽  
Yogender Kumar ◽  
Kriti Rai ◽  
Manjeet Kumar
Keyword(s):  
System Identification ◽  
Linear System ◽  
Wiener Model ◽  
Non Linear ◽  
Hypothetical System ◽  
Linear System Identification ◽  
Non Linear System

Non-linear system identification and fault diagnosis using a new GUI interpretation tool

2001 ◽  
Vol 54 (6) ◽  
pp. 425-449 ◽  
Author(s):  
Jui-Jung Liu ◽  
Shan-Jen Cheng ◽  
I-Chung Kung ◽  
Hui-Chen Chang ◽  
S.A. Billings
Keyword(s):  
Fault Diagnosis ◽  
System Identification ◽  
Linear System ◽  
Non Linear ◽  
Linear System Identification ◽  
Non Linear System

scholarly journals Current efforts towards a non-linear system identification methodology of broad applicability

2011 ◽  
Vol 225 (11) ◽  
pp. 2497-2515 ◽  
Author(s):  
A F Vakakis ◽  
L A Bergman ◽  
D M McFarland ◽  
Y S Lee ◽  
M Kurt
Keyword(s):  
System Identification ◽  
Linear System ◽  
Hilbert Transforms ◽  
Broad Applicability ◽  
Open Questions ◽  
Non Linear ◽  
Global Aspect ◽  
Linear System Identification ◽  
Non Linear System ◽  
Global And Local

A review of current efforts towards developing a non-linear system identification (NSI) methodology of broad applicability [ 1 – 4 ] is provided in this article. NSI possess distinct challenges, since, even the task of identifying a set of (linearized) modal matrices modified (‘perturbed’) by non-linear corrections might be an oversimplification of the problem. In that context, the integration of diverse analytical, computational, and post-processing methods, such as slow flow constructions, empirical mode decompositions, and wavelet/Hilbert transforms to formulate a methodology that holds promise of broad availability, especially to systems with non-smooth non-linearities such as clearances, dry friction and vibro-impacts is proposed. In particular, the proposed methodology accounts for the fact that, typically, non-linear systems are energy- and initial condition-dependent, and has both global and local components. In the global aspect of NSI, the dynamics is represented in a frequency–energy plot (FEP), whereas in the local aspect of the methodology, sets of intrinsic modal oscillators are constructed to model specific non-linear transitions on the FEP. The similarity of the proposed methodology to linear experimental modal analysis is discussed, open questions are outlined, and some applications providing a first demonstration of the discussed concepts and techniques are provided.

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