Unknown Input Functional Observer Design for Discrete-Time Interval Type-2 Takagi–Sugeno Fuzzy Systems

This article proposes a novel unknown input functional observer design approach toward discrete-time interval type-2 Takagi-Sugeno fuzzy system models subject to measurable and unmeasurable premise variables. By constructing a new state vector that contains both the unknown inputs and the system sta...

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Published inIEEE transactions on fuzzy systems Vol. 30; no. 11; pp. 4690 - 4701
Main Authors Li, Yueyang, Yuan, Ming, Chadli, Mohammed, Wang, Zi-Peng, Zhao, Dong
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Discrete time
Fuzzy systems
interval type-2 Takagi–Sugeno (T-S) fuzzy systems
Loss measurement
Mathematical models
Matrices (mathematics)
matrix equation
Observers
State estimation
State observers
State vectors
Symmetric matrices
Takagi-Sugeno model
Uncertainty
unknown input observer (UIO)
unmeasurable premise variables
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Abstract This article proposes a novel unknown input functional observer design approach toward discrete-time interval type-2 Takagi-Sugeno fuzzy system models subject to measurable and unmeasurable premise variables. By constructing a new state vector that contains both the unknown inputs and the system states, functional observers are proposed for the cases with measurable and unmeasurable premise variables to estimate this new state vector for unknown input and/or state estimation. The observer design problem is converted into the solvability issue of a linear matrix equation involving observer gain matrices, and the existence conditions of the observers are explicitly obtained based on matrix rank analysis. Meanwhile, instead of solving the intricate Sylvester equation directly, the solution of the simplified matrix equation is employed to derive the observer gains. Moreover, the effectiveness and the superiority of the presented method are demonstrated via two illustrative examples.
AbstractList This article proposes a novel unknown input functional observer design approach toward discrete-time interval type-2 Takagi–Sugeno fuzzy system models subject to measurable and unmeasurable premise variables. By constructing a new state vector that contains both the unknown inputs and the system states, functional observers are proposed for the cases with measurable and unmeasurable premise variables to estimate this new state vector for unknown input and/or state estimation. The observer design problem is converted into the solvability issue of a linear matrix equation involving observer gain matrices, and the existence conditions of the observers are explicitly obtained based on matrix rank analysis. Meanwhile, instead of solving the intricate Sylvester equation directly, the solution of the simplified matrix equation is employed to derive the observer gains. Moreover, the effectiveness and the superiority of the presented method are demonstrated via two illustrative examples.
Author Yuan, Ming
Zhao, Dong
Wang, Zi-Peng
Chadli, Mohammed
Li, Yueyang
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Snippet This article proposes a novel unknown input functional observer design approach toward discrete-time interval type-2 Takagi-Sugeno fuzzy system models subject...
This article proposes a novel unknown input functional observer design approach toward discrete-time interval type-2 Takagi–Sugeno fuzzy system models subject...
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SubjectTerms Discrete time
Fuzzy systems
interval type-2 Takagi–Sugeno (T-S) fuzzy systems
Loss measurement
Mathematical models
Matrices (mathematics)
matrix equation
Observers
State estimation
State observers
State vectors
Symmetric matrices
Takagi-Sugeno model
Uncertainty
unknown input observer (UIO)
unmeasurable premise variables
Title Unknown Input Functional Observer Design for Discrete-Time Interval Type-2 Takagi–Sugeno Fuzzy Systems
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Volume 30
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