Abstract
This paper considers a fault diagnosis problem of linear dynamical systems. Specifically, we derive conditions for fault detectability and fault distinguishability, and also we derive a fault diagnosis algorithm which decides the faulty element from the system observation.
As the main result of this paper, graphical necessary and sufficient conditions for fault distinguishability are derived. The conditions are given in terms of the system representation graphs which depict the system structures. The conditions are essential in carrying out the fault diagnosis algorithm at two stages; to check the distinguishability assumed in the algorithm; to find the covering set defined in the algorithm. An example is given to see how the algorithm works.
