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

Stability of a Class of Discrete-Time Switched Fuzzy Systems by Arbitrary Switching

2014 ◽  
Vol 536-537 ◽  
pp. 1187-1190
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Discrete Time ◽  
Fuzzy System ◽  
Lyapunov Functions ◽  
Fuzzy Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Simulation Experiments ◽  
Arbitrary Switching ◽  
Lyapunov Functions Method ◽  
Takagi Sugeno

This paper investigates a representation model, namely, a discrete-time switched fuzzy system. In this model, a system is a switched system whose subsystems are all discrete-time Takagi-Sugeno (T-S) fuzzy systems. For the proposed discrete-time switched fuzzy system is built to ensure that the relevant system is asymptotically stable by Arbitrary Switching and the Lyapunov functions method. The main conditions are given in form of linear matrix inequalities (LMIs), which are easily solvable. The elaborated illustrative examples and the respective simulation experiments demonstrate the effectiveness of the proposed method.

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