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Updating the gain of global finite-time high gain observers

Abstract : Recently, new results about semi-global and global finite-time observation have been obtained by the use of continuous high gain observers. In this paper, we propose to extend these results by studying “time-varying high gain” observers and by providing new update laws: first, we adapt the law introduced by L. Praly in the case of asymptotic observation to the finite-time case and we prove that the updated high gain remains bounded. Secondly, we propose a new update law which guarantees the high gain's value tends asymptotically to 1.
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Laurent Burlion, Tarek Ahmed-Ali, Françoise Lamnabhi-Lagarrigue. Updating the gain of global finite-time high gain observers. 50th IEEE Conference on Decision and Control-European Control Conference (CDC-ECC), 2011, Orlando, United States. 6 p., ⟨10.1109/CDC.2011.6160943⟩. ⟨hal-00648657⟩

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