H∞ non-minimal filter design in finite frequency ranges for discrete-time Takagi–Sugeno fuzzy systems with time-varying delays

This paper considers the problem of filter design for two-dimensional (2D) discrete-time non-linear systems in Takagi-Sugeno (T-S) fuzzy mode. The problem to be solved in the paper is to find a H∞ filter model such that the filtering error system is asymptotically stable. A numerical example is employed to illustrate the validity of the proposed methods.

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Filter design for discrete-time two-dimensional T–S fuzzy systems with finite frequency specification

International Journal of Systems Science ◽

10.1080/00207721.2018.1564086 ◽

2019 ◽

Vol 50 (3) ◽

pp. 599-613 ◽

Cited By ~ 7

Author(s):

Zhaoxia Duan ◽

Jun Zhou ◽

Jian Shen

Keyword(s):

Discrete Time ◽

Fuzzy Systems ◽

Filter Design ◽

Two Dimensional ◽

Finite Frequency

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A Novel Finite-Sum Inequality-Based Method for Robust $H_\infty$ Control of Uncertain Discrete-Time Takagi–Sugeno Fuzzy Systems With Interval-Like Time-Varying Delays

IEEE Transactions on Cybernetics ◽

10.1109/tcyb.2017.2743161 ◽

2018 ◽

Vol 48 (9) ◽

pp. 2569-2582 ◽

Cited By ~ 9

Author(s):

Xian-Ming Zhang ◽

Qing-Long Han ◽

Xiaohua Ge

Keyword(s):

Discrete Time ◽

Fuzzy Systems ◽

Time Varying ◽

Finite Sum ◽

Takagi Sugeno

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H∞ model reduction design in finite frequency ranges for discrete-time Takagi-Sugeno fuzzy systems

International Journal of System of Systems Engineering ◽

10.1504/ijsse.2021.116047 ◽

2021 ◽

Vol 11 (2) ◽

pp. 89

Author(s):

Abderrahim El Amrani ◽

Bensalem Boukili ◽

Ahmed El Hajjaji ◽

Ismail Boumhidi ◽

Abdelaziz Hmamed

Keyword(s):

Model Reduction ◽

Discrete Time ◽

Fuzzy Systems ◽

Finite Frequency ◽

Takagi Sugeno

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State Estimation for Discrete-Time Takagi-Sugeno Fuzzy Systems with Time-Varying Delays

Mathematical Problems in Engineering ◽

10.1155/2015/453806 ◽

2015 ◽

Vol 2015 ◽

pp. 1-8 ◽

Cited By ~ 1

Author(s):

Ting Lei ◽

Qiankun Song ◽

Yurong Liu

Keyword(s):

State Estimation ◽

Discrete Time ◽

Fuzzy Systems ◽

Linear Matrix ◽

Time Varying ◽

Globally Asymptotically Stable ◽

Inequality Technique ◽

Delay Dependent ◽

Takagi Sugeno ◽

Error State

The state estimation problem is investigated for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays. By constructing appropriate Lyapunov-Krasovskii functionals and employing matrix inequality technique, a delay-dependent linear matrix inequalities (LMIs) criterion is developed to estimate the systems state with some observed output measurements such that the error-state system is globally asymptotically stable. An example with simulations is given to show the effectiveness of the proposed criterion.

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