Volterra-series-based equivalent nonlinear system method for subharmonic vibration systems

2019 ◽  
Vol 50 (3) ◽  
pp. 479-494 ◽  
Author(s):  
Bin Xiao ◽  
Zhen-dong Lu ◽  
Shuang-xia Shi ◽  
Chao Gao ◽  
Li-hua Cao
Keyword(s):  
Nonlinear System ◽  
Volterra Series ◽  
System Method ◽  
Subharmonic Vibration

scholarly journals Identification of Nonlinear Systems: Volterra Series Simplification

10.14311/976 ◽  
2007 ◽  
Vol 47 (4-5) ◽  
Author(s):  
A. Novák
Keyword(s):  
Nonlinear System ◽  
Nonlinear Systems ◽  
Transfer Function ◽  
Linear System ◽  
Impulse Response ◽  
Volterra Series ◽  
Series Representation ◽  
Multimedia Systems ◽  
Audio Amplifier ◽  
Enormous Number

Traditional measurement of multimedia systems, e.g. linear impulse response and transfer function, are sufficient but not faultless. For these methods the pure linear system is considered and nonlinearities, which are usually included in real systems, are disregarded. One of the ways to describe and analyze a nonlinear system is by using Volterra Series representation. However, this representation uses an enormous number of coefficients. In this work a simplification of this method is proposed and an experiment with an audio amplifier is shown. 

Volterra series approximation for rational nonlinear system

2013 ◽  
Vol 45 (1-2) ◽  
pp. 411-432
Author(s):  
Qing Wang ◽  
Pengcheng Xu ◽  
Ngai Wong
Keyword(s):  
Nonlinear System ◽  
Volterra Series ◽  
Series Approximation

scholarly journals Nonlinear system modeling and identification of an onshore oscillating water column - wave energy converter, using Volterra series and Hilbert-Huang transform

2012 ◽  
Author(s):  
Γεώργιος Γκίκας
Keyword(s):  
Nonlinear System ◽  
Water Column ◽  
Wave Energy ◽  
Volterra Series ◽  
System Modeling ◽  
Oscillating Water Column ◽  
Energy Converter ◽  
Nonlinear System Modeling ◽  
Hilbert Huang Transform ◽  
System Modeling And Identification

Ο κύριος στόχος της Δ.Δ. είναι να αναπτυχθεί ένα συστημικό μοντέλοκατάλληλο να περιγράψει την λειτουργία της συσκευής κυματικήςενέργειας με ταλαντευόμενη στήλη ύδατος, επικεντρώνοντας τοενδιαφέρον στην μεταβολή της δυναμικής πίεσης μέσα στο κλωβό τηςσυσκευής.Η μεθοδολογία που αναπτύχθηκε περιλαμβάνει την χρησιμοποίησησειρών Volterra και μετασχηματισμού Hilbert-Huang με βάση τα οποίακατασκευάστηκε ακριβές και εύρωστο συστημικό μοντέλο για το μη-γραμμικο μέρος του συστήματος.Τα αποτελέσματα κρίνονται ως άκρως ικανοποιητικά και η μεθοδολογίαπου αναπτύχθηκε εκτός του υπολογιστικού κόστους που εξοικονομείμπορεί να εφαρμοστεί ακόμα σε μια πλειάδα μη-γραμμικών δυναμικώνσυστημάτων.

Research and Exploration of Volterra Series on Nonlinear System Identification and Modeling

2010 ◽  
Vol 439-440 ◽  
pp. 584-589 ◽  
Author(s):  
Y. Chen
Keyword(s):  
System Identification ◽  
Nonlinear System ◽  
Dynamic System ◽  
Nonlinear Dynamic ◽  
System Analysis ◽  
Reproducing Kernel ◽  
Volterra Series ◽  
Kernel Method ◽  
Nonlinear System Identification ◽  
Nonlinear Dynamic System

With the development of analysis and identification way to nonlinear dynamic system, people uses many different method to build up mathematics model to simulate nonlinear dynamic system. This paper introduces some important nonlinear system identification ways and a kind of Volterra series expression type in detail. This kind of way adopts Hilbert reproducing kernel method to build up nonlinear dynamic system model. Hilbert space provides a kind of effective expression type for Fourier series and transfer based on anyorthogonal polynomial. Volterra series function has very strict theory basic, which can be applied into many nonlinear dynamic system analysis and identification filed, and has broad practicality and application prospect.

Uncertainty Analysis in Volterra Series Applied in a Nonlinear System.

2015 ◽  
Author(s):  
Luis Gustavo Giacon Villani ◽  
Samuel da Silva ◽  
Americo Cunha Jr
Keyword(s):  
Nonlinear System ◽  
Uncertainty Analysis ◽  
Volterra Series

Third-Order Volterra Kernel Identification Technique in Aerodynamics

2011 ◽  
Vol 52-54 ◽  
pp. 618-623
Author(s):  
Yun Hai Wang ◽  
Jing Long Han ◽  
Wei Zhou
Keyword(s):  
Nonlinear System ◽  
Volterra Series ◽  
Volterra Kernel ◽  
Third Order ◽  
Volterra Kernels ◽  
Weakly Nonlinear ◽  
The Third ◽  
Identification Technique ◽  
Volterra Kernel Identification ◽  
Identification Techniques

In this paper, we will extend a Volterra identification technique of nonlinear systems. In reality there exists a large class of weakly Nonlinear System which can be well defined by the first few kernels of the Volterra series. In general, Engineers believe that identifying high-order Volterra kernels is a big problem and hope for the advent of better identification techniques. However, with the extensive development of the Volterra kernels’ identification technique, the situation may improve. The formulas used to calculate kernels up to the third-order are given.

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