Xu, Feng; Puig, Vicenç; Ocampo-Martinez, Carlos; Olaru, Sorin; Stoican, Florin Set-theoretic methods in robust detection and isolation of sensor faults. (English) Zbl 1333.93153 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 13, 2317-2334 (2015). Summary: This paper proposes a sensor fault detection and isolation (FDI) approach based on interval observers and invariant sets. In fault detection (FD), both interval observer-based and invariant set-based mechanisms are used to provide real-time fault alarms. In fault isolation (FI), the proposed approach also uses these two different mechanisms. The former, based on interval observers, aims to isolate faults during the transient-state operation induced by faults. If the former does not succeed, the latter, based on both interval observers and invariant sets, is started to guarantee FI after the system enters into steady state. Besides, a collection of invariant set-based FDI conditions are established by using all available system-operating information provided by all interval observers. In order to reduce computational complexity, a method to remove all available but redundant/unnecessary system-operating information is incorporated into this approach. If the considered faults satisfy the proposed FDI conditions, it can be guaranteed that they are detectable and isolable after their occurrences. This paper concludes with a case study based on a subsystem of a wind turbine benchmark, which can illustrate the effectiveness of this FDI technique. Cited in 7 Documents MSC: 93C41 Control/observation systems with incomplete information 93B07 Observability 94C12 Fault detection; testing in circuits and networks Keywords:fault detection and isolation; interval observers; positively invariant sets; linear systems; zonotopes PDFBibTeX XMLCite \textit{F. Xu} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 13, 2317--2334 (2015; Zbl 1333.93153) Full Text: DOI References: [1] DOI: 10.1016/j.automatica.2004.12.008 · Zbl 1091.93038 · doi:10.1016/j.automatica.2004.12.008 [2] Blanchini F., Set-theoretic methods in control (2008) · Zbl 1140.93001 [3] Blanke M., Diagnosis and fault-tolerant control (2006) · Zbl 1126.93004 [4] DOI: 10.1016/j.engappai.2013.10.005 · doi:10.1016/j.engappai.2013.10.005 [5] DOI: 10.1080/00207170600611265 · Zbl 1140.93428 · doi:10.1080/00207170600611265 [6] DOI: 10.1007/BF02684450 · Zbl 0910.65052 · doi:10.1007/BF02684450 [7] DOI: 10.1016/j.automatica.2010.10.019 · Zbl 1209.93024 · doi:10.1016/j.automatica.2010.10.019 [8] DOI: 10.1080/00207179.2010.535215 · Zbl 1205.93144 · doi:10.1080/00207179.2010.535215 [9] DOI: 10.2478/v10006-010-0046-y · Zbl 1214.93061 · doi:10.2478/v10006-010-0046-y [10] DOI: 10.1016/j.automatica.2009.12.005 · Zbl 1194.93085 · doi:10.1016/j.automatica.2009.12.005 [11] DOI: 10.1016/j.automatica.2007.05.024 · Zbl 1138.93352 · doi:10.1016/j.automatica.2007.05.024 [12] DOI: 10.1002/9781118649428 · doi:10.1002/9781118649428 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.