Fast identification and stabilization of unknown linear systems

Dennis Gramlich; Christian Ebenbauer

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arXiv · 2208.10392

Fast identification and stabilization of unknown linear systems

Dennis Gramlich·Christian Ebenbauer

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Abstract

In the present work, a simple algorithm for stabilizing an unknown linear time-invariant system is proposed, assuming only that this system is stabilizable. The suggested algorithm is based on first performing a partial identification of the system and then stabilizing the controllable subsystem. It should be emphasized that our approach does not depend on any prior model knowledge and requires only a minimal number of samples.

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Dennis Gramlich, Christian Ebenbauer. 2022-08-22. Fast identification and stabilization of unknown linear systems. https://arxiv.org/abs/2208.10392

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