New Approach to Delay-Dependent Stability Analysis and Stabilization for Continuous-Time Fuzzy Systems With Time-Varying Delay

2007 ◽  
Vol 15 (3) ◽  
pp. 482-493 ◽  
Author(s):  
Huai-Ning Wu ◽  
Han-Xiong Li
Keyword(s):  
Stability Analysis ◽  
Continuous Time ◽  
Fuzzy Systems ◽  
Time Varying ◽  
New Approach ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

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).

New Approach to Delay-Dependent Stability Analysis and Stabilization for Fuzzy Systems with Time-Varying Delay

2012 ◽  
Vol 516-517 ◽  
pp. 1391-1395
Author(s):  
Ren Bo ◽  
Zhang Guo
Keyword(s):  
Stability Analysis ◽  
Fuzzy Systems ◽  
Linear Matrix ◽  
New Approach ◽  
Time Varying Delay ◽  
Fuzzy Lyapunov Function ◽  
Stabilization Condition ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper is presented a new method for stability analysis and stabilization problems of continuous-time T-S fuzzy systems with time-delay. A fuzzy Lyapunov function is introduced to establish some delay-dependent stability criteria. Less conservative results are obtained by considering the additional useful terms when estimating the upper bound of the derivative of function. Then based on parallel distributed compensation, a delay-dependent stabilization condition is derived and the corresponding controller can be obtained by solving a set of linear matrix inequalities (LMIs).

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.

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