Advertisement

An Introduction to Volterra Series and Its Application on Mechanical Systems

  • C. Bharathy
  • Pratima Sachdeva
  • Harish Parthasarthy
  • Akash Tayal
Part of the Communications in Computer and Information Science book series (CCIS, volume 15)

Abstract

This paper reviews linear and non-linear systems and the Volterra series representation. The Volterra series has applications in non-linear system modelling. The Volterra series expansion represents an important model for the representation, analysis, and synthesis of non-linear systems. The first order and second order Volterra systems are reviewed, and the determination of the Volterra kernels is done using two methods. Then the Volterra series is applied to mechanical systems i.e. simple pendulum and a non-linear spring mass system to observe the effect of incorporating non-linearity.

Keywords

Volterra series first and second order systems kernels 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Schetzen, M.: The Volterra and Wiener Theories of Nonlinear Systems. Wiley, Chichester (1980)MATHGoogle Scholar
  2. 2.
    Cherry, J.A.: Distortion Analysis of Weakly Nonlinear Filters Using Volterra SeriesGoogle Scholar
  3. 3.
    Rugh, W.J.: The Volterra/Wiener Approach. Johns Hopkins University Press, Baltimore (1981)MATHGoogle Scholar
  4. 4.
    Alper, P.: A Consideration of the Discrete Volterra Series. IEEE Transactions Automatic Control 10 (July 1965)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • C. Bharathy
    • 1
  • Pratima Sachdeva
    • 1
  • Harish Parthasarthy
    • 2
  • Akash Tayal
    • 3
  1. 1.Graduate students at IGIT
  2. 2.Faculty NSIT
  3. 3.Faculty IGIT 

Personalised recommendations