论文标题
多阵列电子束稳定使用块循环转换和广义奇异值分解
Multi-Array Electron Beam Stabilization using Block-Circulant Transformation and Generalized Singular Value Decomposition
论文作者
论文摘要
我们引入了一种新型的结构化控制器设计，用于英国国家同步器光源的电子束稳定问题。由于对同步加速器的更改将不允许应用现有控制方法，因此我们开发了一种新颖的方法来对角线化多输入多输出（MIMO）系统。广义的奇异值分解（GSVD）用于对角度化执行器响应矩阵，该矩阵适用于在跨方向设置中任意数量的执行器动力学。最终的解耦系统使用中端控件调节，并根据广义奇异值的函数得出控制器增益。另外，我们利用系统的固有块循环对称性。使用涉及机器数据的模拟来证明控制器的性能。
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.
