On improved delay-dependent robust stabilization of Takagi-Sugeno fuzzy systems with state and input delays

2010 ◽  
Author(s):  
Li Li ◽  
Fajun Yu
Keyword(s):  
Fuzzy Systems ◽  
Robust Stabilization ◽  
State And Input Delays ◽  
Input Delays ◽  
Delay Dependent ◽  
Takagi Sugeno

Robust H∞ Control for Takagi-Sugeno Fuzzy Systems with Time-Varying Delays in State and Input

2015 ◽  
Vol 764-765 ◽  
pp. 624-628 ◽  
Author(s):  
Shun Hung Tsai ◽  
Siou An Jian
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequalities ◽  
Fuzzy Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Stabilization Problem ◽  
State And Input Delays ◽  
Input Delays ◽  
Takagi Sugeno

In this paper, the robust H∞ stabilization problem for Takagi-Sugeno fuzzy control systemswith state and input delays is explored. Based on a Lyapunov-Krasoviskii function, the delaydependentstabilization conditions are proposed in terms of linear matrix inequalities (LMIs) to guaranteethe asymptotic stabilization of time-delay Takagi-Sugeno fuzzy systems with disturbance input.Finally, a numerical example is illustrated to demonstrate the feasibility and effectiveness of the proposed stabilization.

Observer-based exponential stabilization of Takagi–Sugeno fuzzy systems with state and input delays

2011 ◽  
Vol 225 (7) ◽  
pp. 993-1004 ◽  
Author(s):  
C-S Chiu ◽  
T-S Chiang
Keyword(s):  
Time Delay ◽  
Output Feedback ◽  
Fuzzy Systems ◽  
Control Method ◽  
Exponential Stabilization ◽  
Delay Systems ◽  
Discrete Time Delay ◽  
State And Input Delays ◽  
Input Delays ◽  
Takagi Sugeno

This paper proposes an exponential stabilization control method for uncertain Takagi–Sugeno fuzzy systems with state and input delays via output feedback. First, a unified memoryless fuzzy observer-based control method is introduced for stabilizing continuous and discrete uncertain time-delay fuzzy systems. Then, the exponential stability conditions are derived and converted to solving linear matrix inequality (LMI) problems. Based on the developed novel LMI algorithms, the controller and observer gains are able to be separately designed even in the presence of modelling uncertainty, state delay, and input delay. In comparison with existing techniques the proposed technique produces controlled states and state estimation errors that are guaranteed to exponentially converge to zero via output feedback. This is a major breakthrough for the control of uncertain systems with both state and input unavailable time-varying delays. Finally, two studies are carried out on continuous and discrete time-delay systems. Numerical simulation and comparison results demonstrate the quality of the obtained performance.

scholarly journals Delay-Dependent Stability Analysis of Uncertain Fuzzy Systems with State and Input Delays under Imperfect Premise Matching

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Zejian Zhang ◽  
Xiao-Zhi Gao ◽  
Kai Zenger ◽  
Xianlin Huang
Keyword(s):  
Fuzzy Systems ◽  
Design Method ◽  
Integral Term ◽  
Flexibility Design ◽  
State And Input Delays ◽  
The Stability ◽  
Input Delays ◽  
Delay Dependent ◽  
Imperfect Premise Matching ◽  
Delay Dependent Stability

This paper discusses the stability and stabilization problem for uncertain T-S fuzzy systems with time-varying state and input delays. A new augmented Lyapunov function with an additional triple-integral term and different membership functions of the fuzzy models and fuzzy controllers are introduced to derive the stability criterion, which is less conservative than the existing results. Moreover, a new flexibility design method is also provided. Some numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed method.

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