Loading...

Model reduction in commensurate fractional-order linear systems

Tavakoli Kakhki, M ; Sharif University of Technology | 2009

475 Viewed
  1. Type of Document: Article
  2. DOI: 10.1243/09596518JSCE690
  3. Publisher: 2009
  4. Abstract:
  5. In this paper, some commonly used model reduction methods for integer-order systems are employed to approximate commensurate fractional-order linear systems. In comparison with the original system, the approximating model possesses a smaller inner dimension, while its fractional order is the same as that of the original system. The applied methods fall into the global reduction category, such as direct truncation and singular perturbation methods, and into the local reduction category, such as Pade approximation, partial realization, shifted Pade approximation, and rational interpolation methods. The applicability of these methods is illustrated by approximating a sample high-dimensional, commensurate, fractional-order, linear system. © IMechE 2009
  6. Keywords:
  7. Commensurate order ; Direct truncation ; Fractional order ; Fractional-order system ; High-dimensional ; Inner dimension ; Model reduction ; Model reduction method ; Order systems ; Original systems ; Pade approximation ; Rational interpolation ; Singular perturbation method ; Linear systems ; Perturbation techniques
  8. Source: Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering ; Volume 223, Issue 4 , 2009 , Pages 493-505 ; 09596518 (ISSN)
  9. URL: https://journals.sagepub.com/doi/10.1243/09596518JSCE690