Sensor fault detectability analysis for discrete LTI systems. A positive invariance based approach

The paper considers the abnormal functioning of sensors (measurement channels) deployed for monitoring and control of discrete linear time invariant systems affected by additive uncertainties. The main objective is to analyze the sensor fault detectability via a robust positive invariance based technique. The analysis relies on the categorization of detectable faults and leads to certain conditions for guaranteed non-detectability, guaranteed detectability and implicit detectability.