Delay-Dependent Stability Analysis and Controller Synthesis for Discrete-Time T–S Fuzzy Systems With Time Delays

2005 ◽  
Vol 13 (5) ◽  
pp. 630-643 ◽  
Author(s):  
C.-L. Chen ◽  
G. Feng ◽  
X.-P. Guan
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Time Delays ◽  
Controller Synthesis ◽  
Delay Dependent ◽  
Delay Dependent Stability

Delay-dependent stability analysis for discrete-time switched linear systems with parametric uncertainties

2017 ◽  
Vol 24 (20) ◽  
pp. 4921-4930 ◽  
Author(s):  
Nasrollah Azam Baleghi ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Discrete Time ◽  
Upper Bound ◽  
Sufficient Conditions ◽  
Switched System ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper studies the delay-dependent stability conditions for time-delay discrete-time switched systems. In the considered switched system, there are uncertain terms in each subsystem due to affine parametric uncertainties. Additionally, each subsystem has a time-varying state delay which adds more complexity to the stability analysis. Based on the Lyapunov functional approach, the sufficient conditions are extracted to determine the admissible upper bound of the time-varying delay for guaranteed stability. Furthermore, a class of switching signals is identified to guarantee the exponential stability of the uncertain time-delay switched system. The main advantage of the suggested switching signals is its independency to the uncertainties. Furthermore, these signals are only constrained by a determined average dwell time (may be chosen arbitrarily). Finally, a numerical example is provided to demonstrate the efficiency of the proposed method and also the reduction of conservatism in finding the admissible upper bound of time-delay in comparison with other stability analysis approaches.

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
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