H-Infinity State Feedback Controller Design for T-S Fuzzy Systems Based on Piecewise Lyapunov Function

2005 ◽  
Author(s):  
Chung-Chun Kung ◽  
Ti-Hung Chen ◽  
Chien-Hung Chen
Keyword(s):  
Lyapunov Function ◽  
Fuzzy Systems ◽  
State Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
H Infinity ◽  
State Feedback Controller ◽  
Piecewise Lyapunov Function

scholarly journals l1-Induced State-Feedback Controller Design for Positive Fuzzy Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Xiaoming Chen ◽  
Mou Chen ◽  
Jun Shen
Keyword(s):  
Fuzzy Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Closed Loop System ◽  
State Feedback Controller ◽  
Takagi Sugeno ◽  
Theoretical Results

The problem ofl1-induced state-feedback controller design is investigated for positive Takagi-Sugeno (T-S) fuzzy systems with the use of linear Lyapunov function. First, a novel performance characterization is established to guarantee the asymptotic stability of the closed-loop system withl1-induced performance. Then, the sufficient conditions are presented to design the required fuzzy controllers and iterative convex optimization approaches are developed to solve the conditions. Finally, one example is presented to show the effectiveness of the derived theoretical results.

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