基于块循环变换和广义奇异值分解的多阵列电子束稳定
Multi-Array Electron Beam Stabilization using Block-Circulant Transformation and Generalized Singular Value Decomposition
摘要：
我们介绍了一种新的结构控制器设计的电子束稳定问题的英国国家同步辐射光源。由于同步加速器的变化将不允许应用现有的控制方法，我们开发了一种新的方法来对角化的多输入多输出（MIMO）系统。一个广义奇异值分解（GSVD）是用来同时对角化的执行器响应矩阵，这是适用于任意数量的执行器动态在一个横向设置。所得到的解耦系统进行调节使用中程控制和控制器增益作为广义奇异值的函数。此外，我们利用系统固有的块循环对称性。我们的控制器的性能证明使用模拟，涉及机器数据。
英文摘要：
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.
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