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Analysis of oscillations in fractional order LTI systems

Siami, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/DETC2011-47699
  3. Abstract:
  4. This paper is devoted to analysis of undamped oscillations generated by fractional order linear time invariant (LTI) systems. At first, the trajectories of marginally stable commensurate order systems are investigated. It is verified that we can not use the time-independent phase flow concept for this kind of systems. Also, the differences with the integer order case are highlighted. Then, it is shown that we can determine the Q-norm of the limit sets of a trajectory for these systems based on the Q-norm of the initial condition. Some numerical examples are brought to confirm the achievements of the paper
  5. Keywords:
  6. Fractional order ; Initial conditions ; Integer order ; Limit sets ; Linear time-invariant system ; LTI systems ; Numerical example ; Order systems ; Phase flow ; Design ; Linear systems
  7. Source: ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011, Washington, DC, 28 August 2011 through 31 August 2011 ; Volume 3, Issue PARTS A AND B , August , 2011 , Pages 235-240 ; 9780791854808 (ISBN)
  8. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1639890