Mixed L1/L-Fault Detection Observer for Continuous 2D Positive Systems

This study concerns the design of a fault detection observer for positive two-dimensional (2D) continuous systems. First, an approach is provided to calculate accurate values of the L1-gain and L-index for positive 2D systems, indicating the robustness and fault sensitivity, respectively. Necessary...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs p. 1
Main Authors Duan, Zhaoxia, Feng, Yuchun, Ahn, Choon Ki, Xiang, Zhengrong
Format Journal Article
LanguageEnglish
Published IEEE 31.01.2023
Subjects
Circuit faults
Circuit stability
Continuous time systems
Fault detection
L1/L-performance
Numerical stability
observer design
Observers
Positive system
Stability criteria
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Summary:This study concerns the design of a fault detection observer for positive two-dimensional (2D) continuous systems. First, an approach is provided to calculate accurate values of the L1-gain and L-index for positive 2D systems, indicating the robustness and fault sensitivity, respectively. Necessary and sufficient conditions are developed such that the positive 2D systems are asymptotically stable with the L1/L-performance. Second, sufficient conditions for a mixed L1/L-observer are established. An iterative algorithm is formulated to address the multiobjective optimization problem. Finally, the validity and feasibility of the proposed design approach and algorithm are illustrated using a numerical example.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2023.3241573