New Fixed Time and Fast Converging Reduced Order Observers

Frederic Mazenc (1, 2) , Michael Malisoff (3)

1 CentraleSupélec
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
3 LSU Mathematics - Department of Mathematics [Baton Rouge]

For nonlinear continuous-time systems with continuous measurements of the output, we provide new reduced order observers that converge in finite time. The convergence time is independent of the initial state. For cases where the measurements are discrete, we provide asymptotically converging observers, whose rate of convergence is proportional to the negative of the logarithm of the size of the sampling interval. Our observers are based on the observability Gramian.

Mots clés: Reduced order observer; Finite time; Discrete measurements

Domaines: Automatique

Frederic Mazenc, Michael Malisoff. New Fixed Time and Fast Converging Reduced Order Observers. IEEE 60th Conference on Decision and Control (CDC 2021), Dec 2021, Austin, United States. ⟨10.1109/cdc45484.2021.9682973⟩. ⟨hal-03431462⟩