Estimating the mode of operation of a hybrid system means to account for its interleaved continuous and discrete dynamics from a partial set of observations. The quality of the estimation obviously depends on the level of diagnosability of the system, which has been shown to depend on the discrete and the continuous observations as a whole. The case of two modes showing very similar, if not the same, continuous dynamic input/output behavior is critical when the discrete events do not allow discrimination. In this case, these modes, so called non-discernible modes, are accepted to be not discriminable. This paper uses the concept of Mode-Sequence Analytic Redundancy Relation which is shown to achieve discriminability of such non-discernible modes in many cases. A focusing test based on modesequence ARRs is then proposed to improve hybrid state estimation.
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