Stability Analysis and Robust H∞ Controller Synthesis with Derivatives of Membership Functions for T-S Fuzzy Systems with Time-varying Delay: Input-output Stability Approach

2020 ◽  
Vol 18 (7) ◽  
pp. 1872-1884
Author(s):  
Redouane Chaibi ◽  
Hicham El Aiss ◽  
Ahmed El Hajjaji ◽  
Abdelaziz Hmamed
Keyword(s):  
Stability Analysis ◽  
Fuzzy Systems ◽  
Controller Synthesis ◽  
Time Varying ◽  
Membership Functions ◽  
Input Output ◽  
Time Varying Delay ◽  
Output Stability ◽  
Derivatives Of ◽  
Varying Delay

scholarly journals Stability Analysis and Stabilization of T-S Fuzzy Delta Operator Systems with Time-Varying Delay via an Input-Output Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Zhixiong Zhong ◽  
Guanghui Sun ◽  
Hamid Reza Karimi ◽  
Jianbin Qiu
Keyword(s):  
Stability Analysis ◽  
Original System ◽  
Transformation Method ◽  
Delta Operator ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Operator Systems ◽  
Delta Operator Systems ◽  
Varying Delay

The stability analysis and stabilization of Takagi-Sugeno (T-S) fuzzy delta operator systems with time-varying delay are investigated via an input-output approach. A model transformation method is employed to approximate the time-varying delay. The original system is transformed into a feedback interconnection form which has a forward subsystem with constant delays and a feedback one with uncertainties. By applying the scaled small gain (SSG) theorem to deal with this new system, and based on a Lyapunov Krasovskii functional (LKF) in delta operator domain, less conservative stability analysis and stabilization conditions are obtained. Numerical examples are provided to illustrate the advantages of the proposed method.

Stability Analysis and Controller Design for Discrete-Time Fuzzy Systems With Time-Varying Delay

2010 ◽  
Vol 43 (2) ◽  
pp. 325-330
Author(s):  
Dimitri C. Viana ◽  
Valter J.S. Leite ◽  
Márcio F. Miranda
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Controller Design ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay
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