Asynchronous Fault Detection for Interval Type-2 Fuzzy Nonhomogeneous Higher Level Markov Jump Systems With Uncertain Transition Probabilities

Based on the interval type-2 fuzzy (IT2F) approach, this article investigates the fault detection filter design problem for a class of nonhomogeneous higher level Markov jump systems with uncertain transition probabilities. Considering that the mode information of the system cannot be obtained synch...

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Vydáno v:IEEE transactions on fuzzy systems Ročník 30; číslo 7; s. 2487 - 2499
Hlavní autoři: Zhang, Xiang, Wang, Hai, Stojanovic, Vladimir, Cheng, Peng, He, Shuping, Luan, Xiaoli, Liu, Fei
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.07.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Asynchronous interval type-2 fuzzy (IT2F) filter
Error detection
Fault detection
Filter design (mathematics)
Fuzzy sets
Hidden Markov models
Markov chains
Markov processes
nonhomogeneous higher level Markov jump systems
Parameter uncertainty
Probability density functions
quarter-car suspension system (QCSS)
Suspension systems
Symmetric matrices
Tires
Transition probabilities
uncertain transition probabilities
Uncertainty
ISSN:1063-6706, 1941-0034
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Shrnutí:Based on the interval type-2 fuzzy (IT2F) approach, this article investigates the fault detection filter design problem for a class of nonhomogeneous higher level Markov jump systems with uncertain transition probabilities. Considering that the mode information of the system cannot be obtained synchronously by the filter, the hidden Markov model can be seen as a detector to handle this asynchronous problem, and the parameter uncertainty can be processed by the IT2F approach with the lower and upper membership functions. Then, the asynchronous IT2F filter is designed to deal with the fault detection problem. Furthermore, the Gaussian transition probability density function is introduced to describe the uncertainty transition probabilities of the system and the filter. Based on the Lyapunov theory, the existence of the designed asynchronous IT2F filter and the dissipativity of the filter error system can be well ensured. In this article, the simulation study on a quarter-car suspension system verifies that the designed asynchronous IT2F filter can detect faults without error alarms.
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ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2021.3086224