Error-bounding fault detection filter design for switched positive systems with time-varying delay under mixed L−/L1 performance

This paper investigates Error-bounding fault detection filtering for switched positive time-varying delay systems under mixed L − /L 1 performance, which represent sensitivity and robustness of the fault detection filter, respectively. Error-bounding fault detection filters are established to estima...

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Bibliographic Details
Main Authors: Hu, Jiapan, Chen, Xiaoming, Shen, Jun
Format: Conference Proceeding
Language:English
Subjects:
Average dwell time
Delays
Fault detection
Indexes
Positive L 1 filtering
Positive L − filtering
Robustness
Sensitivity
Switched positive systems
Switches
Time-varying delay
Time-varying systems
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Summary:This paper investigates Error-bounding fault detection filtering for switched positive time-varying delay systems under mixed L − /L 1 performance, which represent sensitivity and robustness of the fault detection filter, respectively. Error-bounding fault detection filters are established to estimate the output of switched positive time-varying delay systems by a multiple co-positive type Lyapunov-Krasovskii functional. A novel characterization is obtained for exponential stability of the residual system with L − performance and L 1 performance. Based on that characterization, sufficient conditions are derived for designing the required filters in terms of linear programming problems. Finally, an illustrative example shows that the theoretical results are effective and applicable.
ISSN:1948-9447
DOI:10.1109/CCDC49329.2020.9164321