具有空间模型失配的闭合轨道反馈系统的性能
Performance of closed orbit feedback systems with spatial model mismatch
摘要：
用于全局轨道修正的闭合轨道反馈（COFB）系统依赖于轨道响应矩阵（ORM）的伪逆。在控制器中使用的模型ORM和实际机器ORM之间的失配会影响反馈系统的性能。在本文中，这样的模型失配的典型来源，如加速斜坡ORM变化，强度依赖的调移和β跳动被认为是在模拟研究。它们对性能和稳定裕度的影响进行了研究COFB系统操作的慢和快制度。利用谱半径稳定性条件代替小增益定理来得到COFB稳定性的理论极限，并与GSI的SIS18模拟和在FZJ的COSY实验进行了比较。
英文摘要：
Closed orbit feedback (COFB) systems used for the global orbit correction rely on the pseudo-inversion of the orbit response matrix (ORM). A mismatch between the model ORM used in the controller and the actual machine ORM can affect the performance of the feedback system. In this paper, the typical sources of such model mismatch such as acceleration ramp ORM variation, intensity-dependent tune shift and beta beating are considered in simulation studies. Their effect on the performance and the stability margins are investigated for both the slow and fast regimes of a COFB system operation. The spectral radius stability condition is utilized instead of the small gain theorem to arrive at the theoretical limits of COFB stability and comparisons with simulations for SIS18 of GSI and experiments at the Cooler synchrotron (COSY) in the Forschungzentrum Jülich (FZJ) are also presented.
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