Research of Volterra Series Kernel Coefficient Calculation Method

Abstract:

Volterra series kernel coefficient calculation of non-linear system is a difficult problem. In this paper, we introduce some way, which can get kernel coefficient. With the increasing of memory length and identification order, it can make calculation complex and hard to rebuild system non-linear model. This article introduces some conventional Volterra series kernel calculation ways, and introduces a kind of method to get Volterra series kernel through using Hilbert space method emphasis, this method can transform Volterra series kernel coefficient calculation problem into reproducing kernel coefficient problem, which has largely simple calculation rate and can get any order Volterra series kernel coefficient in theory.

• Periodical: Advanced Materials Research (Volumes 255-260)
• Pages: 2967-2971
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.255-260.2967
• Online since: May 2011
• Authors: Yu Chen, Xin Ling Wen, Jin Tao Meng
• Keywords: Amplitude Frequency Response, Hilbert Reproducing Kernel, Nonlinear System, Phase Frequency Response, Volterra Series

References

[1] Chen Y. submitted to Journal of Key Engineering Materials Vol. 439-440 (2010), pp.584-589.

[2] Tan X. submitted to Journal of Mechanics and Electronics. Vol. 4 (1996), pp.24-25.

[3] Zhang H. J, Han C.Z. submitted to Journal of. Vol. 34. No. 6 (2006), pp.10-11.

[4] Kong X. Y, Han C. Z, Ma H.G. Wei R.X. submitted to Journal of System Simulation. Vol. 16. No. 4 (2004), pp.807-808.

[5] Aronszajn. Transactions of the American Mathematical Society Publications, (1950) pp.337-404.

[6] De Figueiredo, Rui J. P. IEEE Transactions on Circuits and Systems Publications, Vol. Cas-30, No. 9. (1983).