A Novel Control Design on Discrete-Time Takagi–Sugeno Fuzzy Systems With Time-Varying Delays

2013 ◽  
Vol 21 (4) ◽  
pp. 655-671 ◽  
Author(s):  
Xiaojie Su ◽  
Peng Shi ◽  
Ligang Wu ◽  
Yong-Duan Song
Keyword(s):  
Discrete Time ◽  
Fuzzy Systems ◽  
Control Design ◽  
Time Varying ◽  
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.

scholarly journals State Estimation for Discrete-Time Takagi-Sugeno Fuzzy Systems with Time-Varying Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Ting Lei ◽  
Qiankun Song ◽  
Yurong Liu
Keyword(s):  
State Estimation ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Globally Asymptotically Stable ◽  
Inequality Technique ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Error State

The state estimation problem is investigated for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays. By constructing appropriate Lyapunov-Krasovskii functionals and employing matrix inequality technique, a delay-dependent linear matrix inequalities (LMIs) criterion is developed to estimate the systems state with some observed output measurements such that the error-state system is globally asymptotically stable. An example with simulations is given to show the effectiveness of the proposed criterion.

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