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The paper deals with the problem of designing observers for a class of discrete-time nonlinear
systems with an unknown input. In particular, with the use of the Lyapunov method, a design
procedure of an asymptotically convergent observer is proposed. Moreover, the e ect of decoupling an
unknown input is investigated in the light of an undesirable decoupling of possible faults. As a result,
a condition for checking an undesirable fault decoupling is provided. Subsequently, it is shown how to
employ the proposed robust fault diagnosis observer for the non-linear systems with state constraints.
The final part of the paper shows experimental results that confirm the e ectiveness of the proposed
approach and the potential profits that can be achieved while applying the proposed approach in the fault
CitationWitczak, M.; Puig, V.; Dziekan, L. Design of an unknown input observer for fault diagnosis of non-linear systems with state constraints. A: IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes. "SAFEPROCESS 2012. 8th IFAC International Symposium on Fault Detection, Supervision and Safety for Technical Processes". Mexico City: 2012, p. 1065-1070.
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