Stability of longitudinal bunch length feedback for heavy-ion synchrotrons

Lens, Dieter; Klingbeil, Harald

doi:10.1103/physrevstab.16.032801

Cited by 4 publications

(10 citation statements)

References 17 publications

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“…In this paper, the setup of the beam experiment described in [15] and its corresponding parameter values will…”

Section: A Nonlinear Modelingmentioning

confidence: 99%

“…See [15] for more details on the experimental setup. A revolution period T R = 4.6629 µs will be assumed in the following.…”

Section: A Nonlinear Modelingmentioning

confidence: 99%

“…As shown in [15], the bunch shape may be described by its first-order moments (mean or bunch center)…”

Section: A Nonlinear Modelingmentioning

confidence: 99%

“…A simplified model to describe the moment dynamics has been derived in [15]. For the model, a normalized coordinate…”

Section: Derivation Of a Linearized Modelmentioning

confidence: 99%

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Predictive control for longitudinal beam dynamics in heavy ion synchrotrons

Faulwasser

Lens

Kellett

2014

2014 IEEE Conference on Control Applications (CCA)

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Abstract-We present a design of a predictive control scheme for longitudinal beam dynamics in heavy ion synchrotrons. Specifically, we consider a linear-quadratic model predictive control (MPC) approach, whereby the quadratic program is solved via a fast gradient method. Furthermore, we investigate whether the fast gradient method allows for real-time feasible implementation of the proposed approach on a field programmable gate array (FPGA). Our results indicate that sampling rates in the order of 1MHz are achievable.Index Terms-model predictive control, heavy ion synchrotrons, longitudinal beam control, fast gradient method, field programmable gate array

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“…In this paper, the setup of the beam experiment described in [15] and its corresponding parameter values will…”

Section: A Nonlinear Modelingmentioning

confidence: 99%

“…See [15] for more details on the experimental setup. A revolution period T R = 4.6629 µs will be assumed in the following.…”

Section: A Nonlinear Modelingmentioning

confidence: 99%

See 2 more Smart Citations

Predictive control for longitudinal beam dynamics in heavy ion synchrotrons

Faulwasser

Lens

Kellett

2014

2014 IEEE Conference on Control Applications (CCA)

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“…A simplified model describing the longitudinal beam dynamics using moments has been derived in [11]. The model describes the dynamics of the first and second order moments of the beam.…”

Section: Derivation Of a Linearised Modelmentioning

confidence: 99%

Offset-free output feedback predictive control for longitudinal beam dynamics in heavy ion synchrotrons

Faulwasser

Lens

Kellett

2014

2014 4th Australian Control Conference (AUCC)

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Abstract-Control of the longitudinal beam dynamics in heavy ion synchrotrons is a challenging task due primarily to the very fast time constants present in the system. Recently, the authors developed a model predictive controller for this system and demonstrated that solution of the required optimisation problem can be accomplished in about 1µs when implemented on a Field Programmable Gate Array (FPGA). This initial design made several simplifying assumptions and in this paper we extend this initial design to account for known implementation issues relevant to the SIS18 heavy ion synchrotron at the GSI Helmholtz Center. In particular, in this paper we present a design of an offset-free output feedback predictive control scheme for longitudinal beam dynamics in heavy ion synchrotrons. Furthermore, we demonstrate how to compensate for possible communication delays. The performance of this offset-free output feedback predictive controller is validated in simulation.

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