Conservatism comparison of set-based robust fault detection methods: Set-theoretic UIO and interval observer cases. (July 2019)

• Record Type: Journal Article
• Authors: Xu, Feng; Tan, Junbo; Wang, Xueqian; Liang, Bin
• Is Part Of: Automatica. Volume 105(2019)
• Page Start: 307
• Page End: 313
• Publication Date: 2019-07
• Subjects: Fault detection conservatism -- Interval observer -- Set-theoretic unknown input observer -- Set-based methods; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.04.005
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper focuses on comparing fault detection (FD) conservatism of the set-theoretic unknown input observer (SUIO) based method and the interval observer (IO) based method. The former is implemented by combining both the set theory and the unknown input observer (UIO), where the set theory and the UIO are used to decouple disturbances and noises in passive and active ways, respectively. The latter is based on the set theory and the Luenberger-structure observer, which completely relies on the set-based passive decoupling of disturbances and noises to obtain FD robustness. The objective of this paper is to compare their FD conservatism using systematic mathematical analysis based on zonotopes and a mathematical criterion comparing their FD conservatism is obtained. Moreover, by establishing a general residual framework for conservatism analysis, the proposed method comparing the FD conservatism is also extended to compare the FD conservatism of a wide variety of set-based robust FD methods. At the end of this paper, a two-tank system example is used to illustrate the effectiveness of the obtained results.