Abstract
This paper analyzes first the step-hypothesized generalized-likelihood-ratio (GLR) method for a failure detection in linear discrete dynamical systems and discusses the detectability. We find that a weakly-diagnosable-space can exist for dynamics failure rather than for sensor one. To overcome the problem, two extended GLR methods are next developed, that is, the one introducing a weight on GLR’s calculated for different directions, and the other taking into account the estimation of other quantities than a bias based on the information about the control input and the state of the system.
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