Valve stiction is one of the most important failure modes of valve, which may make the control loops suffered from severe performance degradation. Therefore, valve failure detection and diagnosis have been received widely attention from researchers and industrial personals in last two decades. Up to now, flourish results on valve stiction detection and diagnosis were reported. However, to our best knowledge, how to quantify more features of the valve stiction is still remained open. Most of the reported methods on the valve stiction quantification may not be suitable to deal with slipjump of the stiction, as well as the case where the valve with stiction is used in the cascade control loops. Noticing the fact that the relationship between sampled data behaves specific shape like limit cycle with the presence of stiction, a brand new general quantification method for valve stiction based on Riemannian logarithmic map is put forward in this paper. The proposed method from the perspective of geometry expounds how to deal with the features deadband plus stickband (S-zone) and slipjump (J-zone) for single control loop, and even simple cascade loop. The experiments well demonstrated that the proposed method is feasible to accurately quantify the valve stiction using the new indicator for the deadband plus stickband, and slipjump of valve stiction.

阀门粘滞是阀门最重要的失效模式之一，它可能使控制回路遭受严重的性能退化。因此，阀门故障检测与诊断在近二十年来受到了研究人员和工业界人士的广泛关注。到目前为止，已经报道了瓣膜粘连检测和诊断的蓬勃发展结果。然而，据我们所知，如何量化阀门粘滞的更多特征仍然是开放的。大多数关于阀门粘滞量化的报告方法可能不适用于处理粘滞的滑跃，以及在级联控制回路中使用具有粘滞的阀门的情况。注意到采样数据之间的关系在存在静摩擦的情况下表现为特定形状，如极限环，本文提出了一种基于黎曼对数映射的全新的气门粘滞通用量化方法。所提出的方法从几何的角度阐述了如何处理单控制回路，甚至是简单的级联回路的死区加粘带（S-zone）和slipjump（J-zone）特征。实验很好地证明了所提出的方法是可行的，可以使用新的死区加粘带和气门静摩擦滑跃指标来准确量化气门粘滞。