A Periodically-switched Ode Model for N-bunch Beamloading in a Storage Ring
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چکیده
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 To. 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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تاریخ انتشار 1999