Robust Stabilization for Discrete Uncertain Takagi–Sugeno Fuzzy Systems Based on a Piecewise Lyapunov Function

2014 ◽  
Vol 53 (17) ◽  
pp. 7132-7140 ◽  
Author(s):  
Songtao Zhang ◽  
Yanting Hou ◽  
Xiaowei Zhao
Keyword(s):  
Lyapunov Function ◽  
Fuzzy Systems ◽  
Robust Stabilization ◽  
Piecewise Lyapunov Function ◽  
Takagi Sugeno

scholarly journals Stabilization of a certain class of fuzzy control systems with uncertainties

2017 ◽  
Vol 27 (3) ◽  
pp. 453-481
Author(s):  
Nizar Hadj Taieb ◽  
Mohamed Ali Hammami ◽  
François Delmotte
Keyword(s):  
Lyapunov Function ◽  
Exponential Stability ◽  
Control Systems ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Exponential Convergence ◽  
Closed Loop System ◽  
Quadratic Lyapunov Function ◽  
Integrable Functions ◽  
Takagi Sugeno

AbstractIn this paper, we investigate the global uniform practical exponential stability for a class of uncertain Takagi-Sugeno fuzzy systems. The uncertainties are supposed uniformly to be bounded by some known integrable functions to obtain an exponential convergence toward a neighborhood of the origin. Therefore, we use common quadratic Lyapunov function (CQLF) and parallel distributed compensation (PDC) controller techniques to show the global uniform practical exponential stability of the closed-loop system. Numeric simulations are given to validate the proposed approach.

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