Fuzzy Asynchronous Fault Detection for Markov Jump Systems With Packet Loss Compensation and Partially Unknown Transition Probabilities

This paper investigates the asynchronous fault detection (FD) problem for discrete-time interval type-2 (IT2) fuzzy Markov jump systems with packet loss compensation and partially unknown transition probabilities. To describe the asynchronous phenomenon that the mode information of the system cannot...

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Bibliographic Details
Published in2023 IEEE 2nd Industrial Electronics Society Annual On-Line Conference (ONCON) pp. 1 - 6
Main Authors Wang, De-Fen, Feng, Li-Xiang
Format Conference Proceeding
LanguageEnglish
Published IEEE 08.12.2023
Subjects
Fault detection
Filtering theory
Hidden Markov models
Information filters
Markov jump systems
Packet loss
packet loss compensation
Smoothing methods
Stochastic processes
transition probabilities
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Summary:This paper investigates the asynchronous fault detection (FD) problem for discrete-time interval type-2 (IT2) fuzzy Markov jump systems with packet loss compensation and partially unknown transition probabilities. To describe the asynchronous phenomenon that the mode information of the system cannot be communicated immediately to the filter, a hidden Markov model is utilized. Based on the single exponential smoothing method, an IT2 fuzzy FD filter is designed for generating a residual signal and detecting faults. Then, by employing Lyapunov theory, it is proved that the proposed FD filter ensures the stochastic stability and strict dissipativity of the filtering error system. Finally, a numerical example is given to verify the effectiveness of the proposed FD method.
DOI:10.1109/ONCON60463.2023.10430991