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Relative Diagnosability of Discrete-Event Systems and Its Opacity-Based Test Algorithm
Rui Zhao,Fuchun Liu,Zhusong Liu 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.4
The notion of relative diagnosability is proposed for logical automata and the concept of diagnosablerate is introduced to characterize the diagnosability property of a discrete-event system, which takes values in theinterval [0, 1]. The relationship between relative diagnosability and diagnosability introduced by Sampath et al. that relative diagnosability is weaker than diagnosability for discrete-event systems is analysed. Furthermore, anecessary and sufficient condition for relative diagnosability is presented. In particular, an opacity-based algorithmis developed to test the relative diagnosability, which is polynomial in the number of states of the system. Inaddition, the proposed algorithm may be used to deal with the problem of diagnosability.