New Approach to Non-Fragile Control of Uncertain Fuzzy Systems with Time-Delay

2013 ◽  
Vol 433-435 ◽  
pp. 1131-1135
Author(s):  
Li Li
Keyword(s):  
Fuzzy System ◽  
Fuzzy Systems ◽  
Time Delays ◽  
Upper Bounds ◽  
Stability Conditions ◽  
New Approach ◽  
State And Input Delays ◽  
Input Delays ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper focuses on the delay-dependent stability analysis and stabilization for T-S fuzzy system systems with state and input delays. Some new and less conservative delay-dependent small stability conditions are explicitly obtained. The upper bounds of time-delays are obtained by using small convex optimization.Finally, a numerical example is included to show the effectiveness.

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.

A New Approach to Robust and Non-Fragile Control of Uncertain T-S Fuzzy Systems with Interval Time-Delay

2013 ◽  
Vol 662 ◽  
pp. 801-806
Author(s):  
Li Li
Keyword(s):  
Fuzzy System ◽  
Fuzzy Systems ◽  
State Feedback ◽  
Time Varying ◽  
Parameter Uncertainties ◽  
Feedback Controllers ◽  
New Approach ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

This paper describes the synthesis of robust and non-fragile state feedback controllers for T-S fuzzy system with time-varying delay in a range and parameter uncertainties. A new method is proposed by de¯ning new Lyapunov functionals and introducing some free-weighting matrices. Impr oved delay-dependent results are presented.

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 Control for Fuzzy Time-Delay Systems

2012 ◽  
Vol 482-484 ◽  
pp. 291-299
Author(s):  
Gang Guo
Keyword(s):  
Time Delay ◽  
Fuzzy Systems ◽  
Control Method ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
New Approach ◽  
Stabilization Condition ◽  
Delay Dependent ◽  
Delay Dependent Stability

A new control method is proposed for stability analysis and stabilization problems for T-S fuzzy systems with time-delay. A new fuzzy Lyapunov-Krasovskii functional is introduced to establish some delay-dependent stability criteria. Based on parallel distributed compensation (PDC) scheme, a delay-dependent stabilization condition is derived and the corresponding controller can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, simulation examples show that the effectiveness and benefits of the proposed method.

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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