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Existence and design of observers for two-dimensional linear systems with multiple channel faults

Authors
  • Cao, Liang1, 2
  • Zhao, Dong1, 2
  • Wang, Youqing3
  • Ding, Steven X.2
  • 1 Beijing University of Chemical Technology, College of Information Science and Technology, Beijing, 100029, China , Beijing (China)
  • 2 Institute for Automatic Control and Complex Systems (AKS), University of Duisburg-Essen, Duisburg, 47057, Germany , Duisburg (Germany)
  • 3 Shandong University of Science and Technology, College of Electrical Engineering and Automation, Qingdao, 266590, China , Qingdao (China)
Type
Published Article
Journal
Multidimensional Systems and Signal Processing
Publisher
Springer US
Publication Date
Apr 02, 2018
Volume
30
Issue
2
Pages
641–660
Identifiers
DOI: 10.1007/s11045-018-0574-4
Source
Springer Nature
Keywords
License
Yellow

Abstract

Integrated states/faults observers for two-dimensional (2-D) linear systems, which can simultaneously estimate system states and faults, are studied in this study. Multiple channel faults, occurring in both measurement equation and state equation, are considered. On the basis of the singular system observer method and stability theory, asymptotically stable observers and uniformly ultimately bounded observers are proposed for the 2-D systems. For these two cases, constructive methods for observer design and parameter tuning are further provided. Under different system conditions, the necessary and sufficient conditions for the existence of integrated observers are derived and proved through matrix rank analysis. Finally, two examples are given to demonstrate the performance of the proposed methods.

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