Title :
Observability necessary conditions for the existence of observers
Author :
Andrieu, Vincent ; Besancon, Gildas ; Serres, Ulysse
Author_Institution :
Univ. de Lyon, Lyon, France
Abstract :
This paper is about necessary conditions for the existence of an observer in the case of nonlinear systems. Those conditions are first highlighted in terms of detectability, for observers ensuring asymptotic state reconstruction. They then take the form of stronger observability notions, for the case of tunable observers, that is observers with a tunable rate of state reconstruction.
Keywords :
asymptotic stability; nonlinear systems; observability; observers; asymptotic state reconstruction; detectability; nonlinear systems; observability necessary conditions; tunable observers; Estimation error; Linear systems; Manifolds; Nonlinear systems; Observability; Observers; Vectors; exponential stability; nonlinear systems; observability; observer;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760573