DESIGN OF .NET BASED INTERFACE FOR NON-LINEAR SYSTEMS ANALYSIS IN THE FREQUENCY DOMAIN USING VOLTERRA SERIES METHOD
Abstract
In this paper, a .Net based interface is designed for simlified new algorithm deveolped in
2007 for Volterra series method which is one of the most common methods using for nonlinear
systems analysis (Peyton Jones, 2007). The algoritm is coded by MATLAB programme
and adapted to .Net platform with MATLAB Builder NE. An example application is performed
for the developed interface with a second order non-linear Duffing equation. In this
application, results relating to first and second order frequency response functions are
obtained
References
- Bedrosian E., Rice S. O. (1971): “The Output Properties of Volterra Systems (Nonlinear Systems with Memory) Driven by Harmonic and Gaussian Inputs”, Proceedings of the Institution of Electrical Engineers, Cilt 59, s. 1688-1707.
- Billings S. A. (1980): “Identification of Non-Linear Systems-a Survey”, IEE Proc, 127, Pt. D, No. 6, s. 272-285.
- Billings S. A., Lang Z. Q. (1997): “Truncation of Non-linear System Expansions in The Frequency Domain”, International Journal of Control, Cilt 68, No. 5, s. 1019-1042.
- Billings S. A., Peyton Jones J. C. (1990): “Mapping Non-linear Integro-Differential Equations into the Frequency Domain”, International Journal of Control, Cilt 52, No. 4, s. 863-879.
- Billings S. A., Tsang K. M. (1989): “Spectral Analysis for Non-linear Systems, Part I: Parametric Non-linear Spectral Analysis”, Mechanical Systems and Signal Processing, Cilt 3, No. 4, s. 319-339.
- Boyd S. P. (1980): “Volterra series: Engineering Fundamentals”, PhD, Harvard University.
- Brilliant M. B. (1958): “Theory of The Analysis of Nonlinear Systems”, Cambridge, Massachusetts, Technical Report: MIT Research Lab of Electronics. Sayfa No: 101
- Bui F. M., Li J., Bott K., Mintchev M. P. (2001): “Volterra Series Modelling and Compensation of Non-linear Distortions Caused by Susceptibility Difference Artefacts Related to The Presence of Ferromagnetic Implants in Magnetic Resonance Imaging”, Medical Engineering & Physics, Cilt 23, s. 207-215.
- Chatterjee A., Vyas N. S. (2003): “Non-linear Parameter Estimation with Volterra Series Using The Method of Recursive Iteration Through Harmonic Probing”, Journal of Sound & Vibration, Cilt 268, s. 657-678.
- Çankaya İ., Boz A. F. (2005): “Volterra Serileri Metodu ile Doğrusal Olmayan Sistemlerin Frekans Boyutunda Analizi”, Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9-2.
- Helie T., Roze D. (2008): “Sound Synthesis of a Nonlinear String Using Volterra Series”, Journal of Sound and Vibration, Cilt 314, s. 275-306.
- Inglada J., Garello R. (2002): “On Rewriting the Imaging Mechanism of Underwater Bottom Topography by Synthetic Aperture Radar as a Volterra Series Expansion”, IEEE Journal of Oceanic Engineering, Cilt 27, No. 3, s. 665-674.
- Kaçar S., Bayılmış C., Çankaya İ., Çakıroğlu M. (2009): “Kablosuz Algılayıcı Ağlar için MATLAB Builder NE ve MATLAB Webfigure ile ASP.NET Tabanlı Web Arayüzü Tasarımı”, e-Journal of New World Sciences Academy Technological Applied Sciences, 2A0032, Cilt 4, No. 4, s. 360-370.
- Kaçar S., Çankaya İ. (2010): “Doğrusal Olmayan Sistemlerin Volterra Serileri Metodu ile Analizine Yönelik Arayüz Tasarımı”, Diyarbakır, SIU2010-IEEE 18.Sinyal İşleme ve
VOLTERRA SERİLERİ METODU İLE DOĞRUSAL OLMAYAN SİSTEMLERİN FREKANS BOYUTUNDA ANALİZİ İÇİN .NET TABANLI ARAYÜZ TASARIMI
Abstract
Bu çalışmada doğrusal olmayan sistemlerin analizinde kullanılan en yaygın yöntemlerden birisi olan Volterra serileri yöntemine yönelik 2007 yılında geliştirilen basitleştirilmiş yeni algoritma için .Net tabanlı bir arayüz tasarlanmıştır (Peyton Jones, 2007). Algoritma MATLAB programı ile kodlanmış ve MATLAB Builder NE ile .Net ortamına aktarılmıştır. Geliştirilen arayüz için ikinci derece doğrusal olmayan bir Duffing denklemi ile örnek bir uygulama gerçekleştirilmiştir. Bu uygulamada birinci ve ikinci derece frekans cevabı fonksiyonlarına ilişkin sonuçlar elde edilmiştir
References
- Bedrosian E., Rice S. O. (1971): “The Output Properties of Volterra Systems (Nonlinear Systems with Memory) Driven by Harmonic and Gaussian Inputs”, Proceedings of the Institution of Electrical Engineers, Cilt 59, s. 1688-1707.
- Billings S. A. (1980): “Identification of Non-Linear Systems-a Survey”, IEE Proc, 127, Pt. D, No. 6, s. 272-285.
- Billings S. A., Lang Z. Q. (1997): “Truncation of Non-linear System Expansions in The Frequency Domain”, International Journal of Control, Cilt 68, No. 5, s. 1019-1042.
- Billings S. A., Peyton Jones J. C. (1990): “Mapping Non-linear Integro-Differential Equations into the Frequency Domain”, International Journal of Control, Cilt 52, No. 4, s. 863-879.
- Billings S. A., Tsang K. M. (1989): “Spectral Analysis for Non-linear Systems, Part I: Parametric Non-linear Spectral Analysis”, Mechanical Systems and Signal Processing, Cilt 3, No. 4, s. 319-339.
- Boyd S. P. (1980): “Volterra series: Engineering Fundamentals”, PhD, Harvard University.
- Brilliant M. B. (1958): “Theory of The Analysis of Nonlinear Systems”, Cambridge, Massachusetts, Technical Report: MIT Research Lab of Electronics. Sayfa No: 101
- Bui F. M., Li J., Bott K., Mintchev M. P. (2001): “Volterra Series Modelling and Compensation of Non-linear Distortions Caused by Susceptibility Difference Artefacts Related to The Presence of Ferromagnetic Implants in Magnetic Resonance Imaging”, Medical Engineering & Physics, Cilt 23, s. 207-215.
- Chatterjee A., Vyas N. S. (2003): “Non-linear Parameter Estimation with Volterra Series Using The Method of Recursive Iteration Through Harmonic Probing”, Journal of Sound & Vibration, Cilt 268, s. 657-678.
- Çankaya İ., Boz A. F. (2005): “Volterra Serileri Metodu ile Doğrusal Olmayan Sistemlerin Frekans Boyutunda Analizi”, Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9-2.
- Helie T., Roze D. (2008): “Sound Synthesis of a Nonlinear String Using Volterra Series”, Journal of Sound and Vibration, Cilt 314, s. 275-306.
- Inglada J., Garello R. (2002): “On Rewriting the Imaging Mechanism of Underwater Bottom Topography by Synthetic Aperture Radar as a Volterra Series Expansion”, IEEE Journal of Oceanic Engineering, Cilt 27, No. 3, s. 665-674.
- Kaçar S., Bayılmış C., Çankaya İ., Çakıroğlu M. (2009): “Kablosuz Algılayıcı Ağlar için MATLAB Builder NE ve MATLAB Webfigure ile ASP.NET Tabanlı Web Arayüzü Tasarımı”, e-Journal of New World Sciences Academy Technological Applied Sciences, 2A0032, Cilt 4, No. 4, s. 360-370.
- Kaçar S., Çankaya İ. (2010): “Doğrusal Olmayan Sistemlerin Volterra Serileri Metodu ile Analizine Yönelik Arayüz Tasarımı”, Diyarbakır, SIU2010-IEEE 18.Sinyal İşleme ve
There are 14 citations in total.
Details
| Other ID | JA73MN42BR |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | October 1, 2010 |
| Published in Issue | Year 2010 Volume: 12 Issue: 3 |
Cite
Dokuz Eylül Üniversitesi, Mühendislik Fakültesi Dekanlığı Tınaztepe Yerleşkesi, Adatepe Mah. Doğuş Cad. No: 207-I / 35390 Buca-İZMİR.