scholarly journals ROBUST DELAY-DEPENDENT STABILITY FOR TAKAGI-SUGENO FUZZY SYSTEMS WITH MIXED TIME-VARYING DELAYS

2021 ◽  
Vol 12 (5) ◽  
Author(s):  
M. Parimala ◽  
R. Preetha ◽  
A. Manivannan
Keyword(s):  
Fuzzy Systems ◽  
Time Varying ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Delay Dependent Stability

Improved Delay-Dependent Stability of Nonlinear Quadratic TS Fuzzy Systems

2019 ◽  
Vol 29 (09) ◽  
pp. 2050134 ◽  
Author(s):  
Khadija Naamane ◽  
El Houssaine Tissir
Keyword(s):  
Fuzzy Systems ◽  
Model Transformation ◽  
Linear Matrix ◽  
Time Varying Delay ◽  
Small Gain ◽  
The Stability ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper focuses on the problem of delay-dependent stability for nonlinear quadratic Takagi–Sugeno (TS) fuzzy systems with time-varying delay using the input–output approach. The results are based on the model transformation by employing a three-terms approximation of delayed state vector. By applying the scaled small-gain theorem and Lyapunov–Krasovskii functional, the stability criteria is obtained in terms of linear matrix inequalities. Furthermore, the Wirtinger-based integral inequality approach has been employed to derive less conservative results. Finally, the numerical examples are provided to demonstrate the effectiveness of the obtained results and for comparison with previous work.

scholarly journals Passivity Analysis and Passive Control for T-S Fuzzy Systems with Leakage Delay and Mixed Time-Varying Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Ting Lei ◽  
Zengshun Chen ◽  
Qiankun Song ◽  
Zhenjiang Zhao
Keyword(s):  
Fuzzy Systems ◽  
Passive Control ◽  
Functional Method ◽  
Leakage Delay ◽  
Linear Matrix ◽  
Time Varying ◽  
The Matrix ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Passivity And Passification

The passivity and passification for Takagi-Sugeno (T-S) fuzzy systems with leakage delay and both discrete and distributed time-varying delays are investigated. By employing the Lyapunov functional method and using the matrix inequality techniques, several delay-dependent criteria to ensure the passivity and passification of the considered T-S fuzzy systems are established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. The obtained results generalize some previous results. Two examples are given to show the effectiveness of the proposed criteria.

On delay-dependent stability conditions for Takagi–Sugeno fuzzy systems

2014 ◽  
Vol 351 (7) ◽  
pp. 3707-3718 ◽  
Author(s):  
Fernando O. Souza ◽  
Víctor C.S. Campos ◽  
Reinaldo M. Palhares
Keyword(s):  
Fuzzy Systems ◽  
Stability Conditions ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Delay Dependent Stability

New Approach to Delay-Dependent Stability Analysis and Stabilization for Fuzzy Systems with Time-Varying Delay

2013 ◽  
Vol 389 ◽  
pp. 471-476 ◽  
Author(s):  
Gang Guo ◽  
Su Ping Zhao
Keyword(s):  
Fuzzy Systems ◽  
Stability Control ◽  
Linear Matrix ◽  
Time Varying ◽  
New Approach ◽  
Time Varying Delay ◽  
Stabilization Condition ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

A new method is proposed for the delay-dependent stability control of fuzzy systems with time-varying delay. A new fuzzy Lyapunov-Krasovskii functional (LKF) is introduced to establish a delay-dependent stability criterion. Based on parallel distributed compensation (PDC) scheme, a stabilization condition is derived and the corresponding controller can be obtained by solving a set of linear matrix inequalities (LMIs).

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