A robust circle criterion observer with application to neural mass models

Michelle Chong (1) , Romain Postoyan (2) , Dragan Nesic (1) , Levin Kuhlmann (1) , Andrea Varsavsky (1)

1 Department of Electrical and Electronic Engineering [Melbourne]
2 CRAN - Centre de Recherche en Automatique de Nancy

A robust circle criterion observer is designed and applied to neural mass models. At present, no existing circle criterion observers apply to the considered models, i.e. the required linear matrix inequality is infeasible. Therefore, we generalise available results to derive a suitable estimation algorithm. Additionally, the design also takes into account input uncertainty and measurement noise. We show how to apply the observer to estimate the mean membrane potential of neuronal populations of a popular single cortical column model from the literature.

Mots clés: Nonlinear observer; neural mass model; robust observer

Domaines: Automatique / Robotique

Michelle Chong, Romain Postoyan, Dragan Nesic, Levin Kuhlmann, Andrea Varsavsky. A robust circle criterion observer with application to neural mass models. Automatica, 2012, 48 (11), pp.2986-2989. ⟨10.1016/j.automatica.2012.08.008⟩. ⟨hal-00751770⟩