自动化学报Issue(3)：497-507,11.DOI:10.16383/j.aas.2015.c140428
动态系统实际故障可诊断性的量化评价研究
Quantitative Evaluation of Actual Fault Diagnosability for Dynamic Systems
摘要
Abstract
This paper proposes a novel approach to quantitative evaluation of actual fault diagnosability for dynamic systems. This approach, which can quantify the difficult level to detect and isolate a fault without designing a diagnosis algorithm, provides a guidance and reference for the technical purpose of improving fault diagnosis ability in the system design phase. First, fault diagnosability evaluation for the dynamic system described by a state space model is converted to a statistical probability problem for distinguishing the similarity of different multivariate distributions through the model standardization and the parity space method. KLD (Kullback-Leibler divergence) is introduced to present the principle of evaluating fault diagnosability based on the criterion of distance similarity, and the shortages of this method are pointed out through rigorous proofs. To make up these shortages, a new method for quantitative diagnosability evaluation is designed, which is derived from the probability distribution of fault vectors and the cosine similarity between two different fault vectors in the view of directional similarity. Finally, the validity and superiority of the proposed approach are verified by numerical simulations.关键词
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Key words
Dynamic systems/actual fault diagnosability/quantitative evaluation/distance similarity/Kullback-Leibler divergence/directional similarity引用本文复制引用
李文博,王大轶,刘成瑞..动态系统实际故障可诊断性的量化评价研究[J].自动化学报,2015,(3):497-507,11.基金项目
国家自然科学基金(61203093,61004073),国家重点实验室基金(9140C590304130C59016)资助Supported by National Natural Science Foundation of China (61203093,61004073), and National Key Laboratory Foundation (9140C590304130C59016) （61203093,61004073）
