New Delay Dependent Stability Condition for a Carbon Dioxide Takagi Sugeno Model

2021 ◽  
pp. 377-387
Author(s):  
Azeddine Elmajidi ◽  
Elhoussine Elmazoudi ◽  
Jamila Elalami ◽  
Noureddine Elalami
Keyword(s):  
Carbon Dioxide ◽  
Stability Condition ◽  
Sugeno Model ◽  
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 Delay dependent stability analysis of Takagi-Sugeno fuzzy time-delays system

2019 ◽  
Vol 3 (1/2/3) ◽  
pp. 150
Author(s):  
Hadil Soltani ◽  
Rafika El Harabi ◽  
Saloua Bel Hadj Ali ◽  
Abdel Aitouche ◽  
Mohamed Naceur Abdelkrim
Keyword(s):  
Stability Analysis ◽  
Time Delays ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Delay Dependent Stability

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

scholarly journals Improved Delay-Dependent Stability Conditions for MIMO Networked Control Systems with Nonlinear Perturbations

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Jiuwen Cao
Keyword(s):  
Control Systems ◽  
Stability Condition ◽  
Networked Control Systems ◽  
Network Control ◽  
Nonlinear Perturbations ◽  
Neutral Operator ◽  
Network Control Systems ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper provides improved time delay-dependent stability criteria for multi-input and multi-output (MIMO) network control systems (NCSs) with nonlinear perturbations. Without the stability assumption on the neutral operator after the descriptor approach, the new proposed stability theory is less conservative than the existing stability condition. Theoretical proof is given in this paper to demonstrate the effectiveness of the proposed stability condition.

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