Combining set-theoretic UIO and invariant sets for optimal guaranteed robust fault detection and isolation
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This paper proposes an optimal guaranteed robust fault detection and isolation (FDI) method combing the set-theoretic unknown input observer (SUIO) and the robust positively invariant (RPI) sets for linear time-invariant (LTI) systems. The optimality of the proposed FDI method is achieved under a two-layer framework. The first layer allows to design a single optimal FDI-oriented SUIO with RPI set separation-based guaranteed FDI conditions to reduce the FDI conservatism of single observer. The second layer consists in designing an optimal observer configuration for a bank of optimal SUIOs to reduce the FDI conservatism of all the SUIOs together. Finally, the effectiveness of the proposed guaranteed robust FDI method is illustrated by using a four-tank system
CitationXu, F. [et al.]. Combining set-theoretic UIO and invariant sets for optimal guaranteed robust fault detection and isolation. "Journal of process control", 1 Juny 2019, vol. 78, p. 155-169.