Updating the gain of global finite-time high gain observers

Laurent Burlion , Tarek Ahmed-Ali (1) , Françoise Lamnabhi-Lagarrigue (2)

1 Equipe Automatique - Laboratoire GREYC - UMR6072
2 L2S - Laboratoire des signaux et systèmes

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.

Domaines: Automatique; Automatique / Robotique

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⟩