We present in this paper a differential-geometric approach to the problem of fault detection and isolation for nonlinear systems. A necessary condition for the problem to be solvable is derived in terms of an unobservability distribution, which is computable by means of suitable algorithms. The existence and regularity of such a distribution implies the existence of changes of coordinates in the state and in the output space which induce an "observable" quotient subsystem unaffected by all fault signals but one, For this subsystem, a fault detection filter is designed.

A geometric approach to nonlinear fault detection and isolation / DE PERSIS, Claudio; Isidori, Alberto. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - 46:6(2001), pp. 853-865. [10.1109/9.928586]

A geometric approach to nonlinear fault detection and isolation

DE PERSIS, Claudio;ISIDORI, Alberto
2001

Abstract

We present in this paper a differential-geometric approach to the problem of fault detection and isolation for nonlinear systems. A necessary condition for the problem to be solvable is derived in terms of an unobservability distribution, which is computable by means of suitable algorithms. The existence and regularity of such a distribution implies the existence of changes of coordinates in the state and in the output space which induce an "observable" quotient subsystem unaffected by all fault signals but one, For this subsystem, a fault detection filter is designed.
2001
fault detection and isolation; nonlinear observability; nonlinear systems; observers; unobservability distributions
01 Pubblicazione su rivista::01a Articolo in rivista
A geometric approach to nonlinear fault detection and isolation / DE PERSIS, Claudio; Isidori, Alberto. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - 46:6(2001), pp. 853-865. [10.1109/9.928586]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/254454
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