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Model-based feed-forward control for time-varying systems with an example for SRF cavities
Publikationstyp
Conference Paper
Date Issued
2020-07
Sprache
English
Author(s)
Journal
Volume
53
Issue
2
Start Page
1331
End Page
1336
Citation
IFAC-PapersOnLine 53 (2): 1331-1336 (2020)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
Elsevier
To derive feed-forward signals the impulse response matrix has to be inverted. While for time-invariant systems this matrix has a Toeplitz structure, this is not the case for time-variant systems. Thus, the derivation of the inverse scales cubically with the length of the signal horizon. This paper presents an efficient way to calculate the inverse impulse response matrix based on the description as linear fractional transformation. With this the calculation effort scales only linearly with the horizon. The feed-forward signal generation is applied in this paper for superconducting accelerating structures. The superconducting accelerating cavities are operated in pulsed mode. Each cavity is fed by a 1.3 GHz radio frequency signal with high power. Model-based feed-forward control is essential here to relief the feedback controller and with this to minimize the power consumption and therefore heating of different components. To derive a model-based feed-forward signal, first, a reasonable reference signal is to be chosen, which is done here based on physical properties of the cavities, then the efficient inversion of the impulse response matrix is applied. Experimentally results from the European X-ray free-electron laser are presented.
Subjects
Feed-forward optimization
Free-electron laser
Impulse response matrix
Linear fractional transformation
Model-based optimization
RF superconducting cavity
Set-point optimization
DDC Class
004: Informatik
600: Technik