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Mode set focused hybrid estimation

Theresa Rienmüller;  Michael Hofbaur;  Louise Travé-Massuyès;  Mehdi Bayoudh — 2013

International Journal of Applied Mathematics and Computer Science

Estimating the state of a hybrid system means accounting for the mode of operation or failure and the current state of the continuously valued entities concurrently. Existing hybrid estimation schemes try to overcome the problem of an exponentially growing number of possible mode-sequence/continuous-state combinations by merging hypotheses and/or deducing likelihood measures to identify tractable sets of the most likely hypotheses. However, they still suffer from unnecessarily high computational...

Set-membership identifiability of nonlinear models and related parameter estimation properties

Carine Jauberthie;  Louise Travé-Massuyès;  Nathalie Verdière — 2016

International Journal of Applied Mathematics and Computer Science

Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and the solution...

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