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

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Description

A new baseband formulation of the coupled cavity/longitudinal-bunch ODEs is derived. Assuming linearity, a model of the form {dot 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 T{sub 0}. 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.

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5 p.

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Schwartz, C. April 20, 1999.

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Description

A new baseband formulation of the coupled cavity/longitudinal-bunch ODEs is derived. Assuming linearity, a model of the form {dot 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 T{sub 0}. 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.

Physical Description

5 p.

Notes

INIS; OSTI as DE00011164

Medium: P; Size: 5 pages

Source

  • 1999 Particle Accelerator Conference, New York, NY (US), 03/29/1999--04/02/1999

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  • Report No.: ANL/ASD/CP-97838
  • Grant Number: W-31109-ENG-38
  • Office of Scientific & Technical Information Report Number: 11164
  • Archival Resource Key: ark:/67531/metadc622928

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  • April 20, 1999

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • April 11, 2017, 12:27 p.m.

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Schwartz, C. A periodically-switched ODE model for N-bunch beamloading in a storage ring., article, April 20, 1999; Illinois. (digital.library.unt.edu/ark:/67531/metadc622928/: accessed September 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.