• DocumentCode
    345325
  • Title

    A periodically-switched ODE model for N-bunch beamloading in a storage ring

  • Author

    Schwartz, C. ; Nassiri, A.

  • Author_Institution
    Argonne Nat. Lab., IL, USA
  • Volume
    2
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    1073
  • Abstract
    A new baseband formulation of the coupled cavity/longitudinal-bunch ODEs is derived. Assuming linearity, a model of the form x˙(t)=A(t)x(t)+B(t)u(t) arises, where A(t) and B(t) are piecewise constant, and periodic with the revolution period T0. Such models, known in the control community as (periodic) switched systems, have known (in)stability criteria and control theoretic properties, which can be useful in the analysis and control of multiple bunch beamloading
  • Keywords
    particle beam bunching; particle beam stability; storage rings; N-bunch beamloading; baseband formulation; control theoretic properties; coupled cavity/longitudinal-bunch ODEs; multiple bunch beamloading; periodically-switched ODE model; revolution period; stability criteria; storage ring; Baseband; Control system analysis; Fourier transforms; Interpolation; Kernel; Laboratories; Linearity; Resonance; Storage rings; Switched systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1999. Proceedings of the 1999
  • Conference_Location
    New York, NY
  • Print_ISBN
    0-7803-5573-3
  • Type

    conf

  • DOI
    10.1109/PAC.1999.795452
  • Filename
    795452
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=345325