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Multi-array electron beam stabilization using block-circulant transformation and generalized singular value decomposition

DOI: 10.1109/CDC42340.2020.9303752 DOI Help

Authors: Idris Kempf (University of Oxford) , Stephen R. Duncan (University of Oxford) , Paul J. Goulart (University of Oxford) , Guenther Rehm (Diamond Light Source)
Co-authored by industrial partner: No

Type: Conference Paper
Conference: 59th IEEE Conference on Decision and Control (CDC)
Peer Reviewed: No

State: Published (Approved)
Published: December 2020

Abstract: We introduce a novel structured controller design for the electron beam stabilization problem of the UK’s national synchrotron light source. Because changes to the synchrotron will not allow the application of existing control approaches, we develop a novel method to diagonalize the multi-input multi-output (MIMO) system. A generalized singular value decomposition (GSVD) is used to simultaneously diagonalize the actuator response matrices, which is applicable to an arbitrary number of actuator dynamics in a cross-directional setting. The resulting decoupled systems are regulated using mid-ranged control and the controller gains derived as a function of the generalized singular values. In addition, we exploit the inherent block-circulant symmetry of the system. The performance of our controller is demonstrated using simulations that involve machine data.

Journal Keywords: Actuators; Matrix decomposition; Synchrotrons; Magnetic separation; Diamond; Singular value decomposition; Magnetic domains

Subject Areas: Engineering

Technical Areas: Controls

Added On: 21/01/2021 09:27

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Engineering & Technology

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