Combining set-theoretic UIO and invariant sets for optimal guaranteed robust fault detection and isolation. (June 2019)

• Record Type: Journal Article
• Authors: Xu, Feng; Tan, Junbo; Wang, Ye; Puig, Vicenç; Wang, Xueqian
• Is Part Of: Journal of process control. Volume 78(2019)
• Page Start: 155
• Page End: 169
• Publication Date: 2019-06
• Subjects: Guaranteed fault detection and isolation -- Optimality -- Set-theoretic unknown input observer -- Invariant sets; Process control -- Periodicals; Fabrication -- Contrôle -- Périodiques; Process control; Periodicals; Electronic journals; 660.281
• DOI: 10.1016/j.jprocont.2019.04.004
• Languages: English
• ISSNs: 0959-1524

Abstract

Highlights: A method to establish invariant set separation-based guaranteed FDI conditions for single optimal SUIO is proposed, which reduces the FDI conservatism of single observer but simultaneously obtains robust FDI guarantees. A method to design an optimal observer configuration for a bank of SUIOs is proposed, which aims to minimize the effect of all unknown inputs on guaranteed robust FDI to reduce the conservatism of a bank of observers. Abstract: 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.