Convergence speed of nonlinear Luenberger observers

Vincent Andrieu (1)

1 LAGEP - Laboratoire d'automatique et de génie des procédés

It is shown that under a weak observability assumption, the nonlinear Luenberger observer exists and ensures an exponential convergence rate of the estimate towards the state of the system. Moreover, it is shown that under the complete observability assumption, this class of observers is tunable. More specifically, it is shown that the estimate reaches a predetermined neighborhood of the state after a parameterizable time.

Domaines: Automatique / Robotique

Vincent Andrieu. Convergence speed of nonlinear Luenberger observers. SIAM Journal on Control and Optimization, 2014, 52 (5), pp.2831-2856. ⟨hal-01024164⟩