Abstract:

A set membership filtering algorithm using ellipsoidal sets for nonlinear systems with unknown but bounded noises is proposed and applied to guaranteed fault detection and isolation (FDI). After the nonlinear state and observation equations are expended in a Taylor series, a tight box outerbounding the region in which the linearization remainder potentially lies is found using interval analysis.

Key words: state , estimation,  , set , membership,  , ellipsoid,  , interval , analysis,  , fault , detection , and , isolation,  , nonlinear , system