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Schuster, E.

Paper Title Page
FPAT010 Automated Beam Steering Using Optimal Control 1213
 
  • C.K. Allen
    LANL, Los Alamos, New Mexico
  • E. Schuster
    Lehigh University, Bethlehem, Pennsylvania
 
  Funding: Work supported by the U.S. Department of Energy.

We present an optimal control strategy for beam steering where the operator can specify a variety of optimality conditions by selecting a parameter set describing an optimally steered beam. Novel approaches here include the ability to base optimality on the beam state throughout the entire beamline, rather than just at BPM locations. Moreover, we also may use the trajectory slope to base our optimality criteria. To achieve this feature we must introduce model dependency. Specifically, we predict the state of the beam from BPM measurements, the set-point of the steering magnets, and a model of beam behavior. The predictions are then used to calculate the optimum setting for steering magnets. The optimal control problem has rich mathematical structure that can be exploited and we cover some topics as they apply to accelerator systems.

ckallen@lanl.gov

 
FPAT092 Optimized Beam Matching Using Extremum Seeking 4269
 
  • E. Schuster
    Lehigh University, Bethlehem, Pennsylvania
  • C.K. Allen
    LANL, Los Alamos, New Mexico
  • M. Krstic
    UCSD, La Jolla, California
 
  The transport and matching problem for a low energy transport system is approached from a control theoretical viewpoint. The beam dynamics and transport section is modeled using the KV envelope equations. Principles of optimal control are applied to this model to formulate techniques which aid in the design of the transport and matching section. Multi-Parameter Extremum Seeking, a real-time non-model based optimization technique, is considered in this work for the lens tuning. Numerical simulations illustrate the effectiveness of this approach.