On the tightest interval-valued state estimator for linear systems

Laurent Bako; Vincent Andrieu

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arXiv · 1805.04182

On the tightest interval-valued state estimator for linear systems

Laurent Bako·Vincent Andrieu

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Abstract

This paper discusses an interval-valued state estimator for linear dynamic systems. In particular, we derive an expression of the tightest possible interval-valued 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. 2018-05-10. On the tightest interval-valued state estimator for linear systems. https://arxiv.org/abs/1805.04182

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