On the tightest interval-valued state estimator for linear systems

Abstract : This paper discusses an interval-valued state es-timator for linear dynamic systems. In particular, we derive an expression of the tightest possible interval estimator in the sense that it is the intersection of all interval-valued estimators. This estimator appears, in a general setting, to be an infinite dimensional dynamic system. Therefore practical implementation requires some over-approximations which would yield a good trade-off between computational complexity and tightness.
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Laurent Bako, Vincent Andrieu. On the tightest interval-valued state estimator for linear systems. 57th IEEE Conference on Decision and Control, Dec 2018, Miami Beach, United States. ⟨hal-02126544⟩

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