scholarly journals Nonquadratic Lyapunov Functions for Nonlinear Takagi-Sugeno Discrete Time Uncertain Systems Analysis and Control

2016 ◽  
Vol 7 (2) ◽  
Author(s):  
Ali Bouyahya ◽  
Yassine Manai ◽  
Joseph Haggège
Keyword(s):  
Discrete Time ◽  
Systems Analysis ◽  
Lyapunov Functions ◽  
Uncertain Systems ◽  
Takagi Sugeno ◽  
And Control

Efficient LMI Conditions for Enhanced Stabilization of Discrete-Time Takagi–Sugeno Models via Delayed Nonquadratic Lyapunov Functions

2019 ◽  
Vol 27 (9) ◽  
pp. 1833-1843 ◽  
Author(s):  
Pedro Henrique S. Coutinho ◽  
Jimmy Lauber ◽  
Miguel Bernal ◽  
Reinaldo M. Palhares
Keyword(s):  
Discrete Time ◽  
Lyapunov Functions ◽  
Takagi Sugeno

scholarly journals Less Conservative Fuzzy Control for Discrete-Time Takagi-Sugeno Systems

2011 ◽  
Vol 2011 ◽  
pp. 1-21 ◽  
Author(s):  
Leonardo Amaral Mozelli ◽  
Reinaldo Martinez Palhares
Keyword(s):  
Fuzzy Control ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Control Design ◽  
Practical Experiment ◽  
Numerical Tests ◽  
Slack Variables ◽  
And Performance ◽  
Takagi Sugeno ◽  
And Control

New analysis and control design conditions of discrete-time fuzzy systems are proposed. Using fuzzy Lyapunov's functions and introducing slack variables, less conservative conditions are obtained. The controller guarantees system stabilization and performance. Numerical tests and a practical experiment in Chua's circuit are presented to show the effectiveness.

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