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Guaranteed multi-loop stability margins and the gap metric

机译:保证的多回路稳定性裕度和间隙度量

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The gap metric and nu-gap metric have many appealing properties for assessing the uncertainty in a plant in a feedback configuration. This short paper addresses the question of relating these generalised stability margins to more traditional single-loop and multiloop robustness measures. In particular we show that when a system is controlled by a controller which provides a stability margin of /spl epsiv/ in the gap metric for the weighted plant then if the weighting matrices are diagonal the plant will have robust stability to easily interpreted simultaneous gain and phase variations at all the inputs and outputs.
机译:间隙量度和nu-gap量度具有许多吸引人的属性,可用于评估反馈配置中工厂的不确定性。这篇简短的论文解决了将这些广义稳定性裕度与更传统的单环和多环鲁棒性度量联系起来的问题。尤其是,我们表明,当系统由控制器控制时,该控制器在加权植物的间隙度量中提供/ spl epsiv /的稳定性裕度,那么,如果加权矩阵是对角线,则植物将具有鲁棒的稳定性,可以轻松地解释同时增益和所有输入和输出的相位变化。

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