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动态系统实际故障可诊断性的量化评价研究

DOI: 10.16383/j.aas.2015.c140428, PP. 497-507

Keywords: 动态系统,实际故障可诊断性,量化评价,距离相似度,K-L散度,方向相似度

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Abstract:

?提出了一种新颖的动态系统实际故障可诊断性量化评价方法.该方法无需设计任何诊断算法,仅通过解析模型即可给出动态系统故障检测和隔离的难易程度,从而为实现在系统设计阶段提高故障诊断能力的工程目标提供理论指导和参考依据.首先,通过标准化模型和等价空间变换,将状态空间描述的随机动态系统实际故障可诊断性评价问题转化为概率统计中多元分布相似度判别的数学问题;然后,根据严格的数学证明,指出距离相似度判别准则在进行可诊断性量化评价中存在的不足.进而,为弥补该不足,利用故障矢量的分布概率以及不同故障矢量之间的余弦相似度,设计基于方向相似度的可诊断性量化评价新方法;最后,通过数学仿真验证该方法的有效性和优越性.

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