One way of synchronizing the SSC Low Energy Booster with the Medium Energy Booster is by matching the longitudinal phase of the designated RF buckets of two machines throughout acceleration to a pre-programmed trajectory. This makes the synchronization predictable in advance. The model associated with the phase-locking is time-varying and model parameters are subjected to disturbance due to errors in the bending magnetic field. Also the disturbance could be due to other feedback loops such as a B-field loop or a beam phase loop in the system. The measured phase error between the two reference waves may not be accurate. Hence in this paper we have shown the design of a Sliding-Mode controller for such an application. In the absence of measurement errors and parameters uncertainties and with no disturbance, the controller reduces to a classical gain feedback. Due to the general approach we have adopted in synthesizing the controller, the techniques can be applied to existing synchronization schemes. 2 refs., 4 figs.
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