论文标题
磁盘边距简介
An Introduction to Disk Margins
论文作者
论文摘要
本文提供了磁盘边距的教程介绍。这些是反馈系统中同时增益和相位扰动的强大稳定性度量。该论文首先回顾了经典的（仅增益和仅相位）边缘及其局限性。这激发了使用磁盘边缘的使用，这些磁盘边缘是使用一组具有同时增益和相变的扰动来定义的。提供了必要且充分的条件，以计算单输入单输出反馈系统的磁盘余量。还可以计算出频率依赖性磁盘边缘，从而获得其他见解。本文以讨论多输入，多重输出（MIMO）反馈系统的稳定性边缘进行了讨论。一种典型的方法是评估稳健的稳定性“一次性循环”，并以单个通道和所有其他以其名义值持有的通道引入扰动。 MIMO磁盘边缘提供了一个有用的扩展，可以考虑多个通道中的同时变化。与循环方法相比，这种多环分析可以提供更准确的鲁棒性评估。
This paper provides a tutorial introduction to disk margins. These are robust stability measures that account for simultaneous gain and phase perturbations in a feedback system. The paper first reviews the classical (gain-only and phase-only) margins and their limitations. This motivates the use of disk margins which are defined using a set of perturbations that have simultaneous gain and phase variations. A necessary and sufficient condition is provided to compute the disk margin for a single-input, single-output feedback system. Frequency-dependent disk margins can also be computed yielding additional insight. The paper concludes with a discussion of stability margins for multiple-input, multiple output (MIMO) feedback systems. A typical approach is to assess robust stability "loop-at-a-time" with a perturbation introduced into a single channel and all other channels held at their nominal values. MIMO disk margins provide a useful extension to consider simultaneous variations in multiple channels. This multiple-loop analysis can provide a more accurate robustness assessment as compared to the loop-at-a-time approach.
