A Fuzzy Lyapunov Function Approach for Fault Estimation of T-S Fuzzy Fractional-Order Systems Based on Unknown Input Observer

This article discusses the fault estimation (FE) problem of nonlinear fractional-order (FO) systems subject to faults and unknown inputs through the T-S fuzzy approach. A novel fuzzy FO unknown input observer is well synthesized to not only achieve the desired FE but also decouple the unknown input...

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Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 53; no. 2; pp. 1246 - 1255
Main Authors Mu, Yunfei, Zhang, Huaguang, Gao, Zhiyun, Zhang, Juan
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Dynamic stability
Estimation
Fault diagnosis
Fault estimation (FE)
FO unknown input observer (FOUIO)
fractional-order (FO) systems
fuzzy Lyapunov functions
Fuzzy systems
Iron
Liapunov functions
Linear matrix inequalities
Lyapunov methods
Mathematical analysis
Mathematical models
Observers
Stability criteria
T–S fuzzy method
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Abstract This article discusses the fault estimation (FE) problem of nonlinear fractional-order (FO) systems subject to faults and unknown inputs through the T-S fuzzy approach. A novel fuzzy FO unknown input observer is well synthesized to not only achieve the desired FE but also decouple the unknown input in contrast to the traditional integer-order observer design technique. It is worth pointing out that the provided FE scheme can reconstruct the fault signal appearing in both input and output equations simultaneously. Furthermore, by resorting to linear matrix inequalities, the stability criteria of observation error dynamics are first formulated based on general quadratic Lyapunov functions, which are further extended via fuzzy Lyapunov functions containing the information of membership functions. Finally, the performance of theoretical results is verified through two elaborate examples.
AbstractList This article discusses the fault estimation (FE) problem of nonlinear fractional-order (FO) systems subject to faults and unknown inputs through the T-S fuzzy approach. A novel fuzzy FO unknown input observer is well synthesized to not only achieve the desired FE but also decouple the unknown input in contrast to the traditional integer-order observer design technique. It is worth pointing out that the provided FE scheme can reconstruct the fault signal appearing in both input and output equations simultaneously. Furthermore, by resorting to linear matrix inequalities, the stability criteria of observation error dynamics are first formulated based on general quadratic Lyapunov functions, which are further extended via fuzzy Lyapunov functions containing the information of membership functions. Finally, the performance of theoretical results is verified through two elaborate examples.
Author Mu, Yunfei
Zhang, Juan
Zhang, Huaguang
Gao, Zhiyun
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Snippet This article discusses the fault estimation (FE) problem of nonlinear fractional-order (FO) systems subject to faults and unknown inputs through the T-S fuzzy...
This article discusses the fault estimation (FE) problem of nonlinear fractional-order (FO) systems subject to faults and unknown inputs through the T–S fuzzy...
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SubjectTerms Dynamic stability
Estimation
Fault diagnosis
Fault estimation (FE)
FO unknown input observer (FOUIO)
fractional-order (FO) systems
fuzzy Lyapunov functions
Fuzzy systems
Iron
Liapunov functions
Linear matrix inequalities
Lyapunov methods
Mathematical analysis
Mathematical models
Observers
Stability criteria
T–S fuzzy method
Title A Fuzzy Lyapunov Function Approach for Fault Estimation of T-S Fuzzy Fractional-Order Systems Based on Unknown Input Observer
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