L1/L- Observer-Based Fault Detection for 2-D Delayed Positive Continuous-Time Systems

This brief focuses on the design of fault detection observer for continuous 2D delayed positive systems. Firstly, the <inline-formula> <tex-math notation="LaTeX">L_{1} </tex-math></inline-formula>-gain and <inline-formula> <tex-math notation="LaTeX&quo...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 70; no. 8; pp. 3004 - 3008
Main Authors Duan, Zhaoxia, Feng, Yuchun, Xiang, Zhengrong, Ghous, Imran
Format Journal Article
LanguageEnglish
Published IEEE 01.08.2023
Subjects
Circuit stability
Delays
Fault detection
Indexes
linear programming
Observers
Positive systems
Sensitivity
Stability criteria
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Summary:This brief focuses on the design of fault detection observer for continuous 2D delayed positive systems. Firstly, the <inline-formula> <tex-math notation="LaTeX">L_{1} </tex-math></inline-formula>-gain and <inline-formula> <tex-math notation="LaTeX">L_{-} </tex-math></inline-formula>-index of the 2D positive delayed systems are calculated by 2D Laplace transform; secondly, necessary and sufficient conditions for the system to satisfy the <inline-formula> <tex-math notation="LaTeX">L_{1}/L_{-} </tex-math></inline-formula> performance are derived; finally, sufficient conditions for the existence of a mixed <inline-formula> <tex-math notation="LaTeX">L_{1}/L_{-} </tex-math></inline-formula> observer are derived. The solution to the observer gain is given by an iterative linear programming algorithm. An example is given to demonstrate the validity of the proposed theoretical results.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2023.3248114