Stability of Fractional Order Chen Chaos Based on Takagi-Sugeno Fuzzy Model

2020 ◽  
Vol 10 (02) ◽  
pp. 115-121
Author(s):  
玉婷 李
Keyword(s):  
Fractional Order ◽  
Fuzzy Model ◽  
Takagi Sugeno

Fuzzy observer–based disturbance rejection control for nonlinear fractional-order systems with time-varying delay

2021 ◽  
pp. 107754632110069
Author(s):  
Parvin Mahmoudabadi ◽  
Mahsan Tavakoli-Kakhki
Keyword(s):  
Fractional Order ◽  
Disturbance Rejection ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Linear Matrix ◽  
Delayed Systems ◽  
Fuzzy Observer ◽  
Time Varying Delay ◽  
Takagi Sugeno

In this article, a Takagi–Sugeno fuzzy model is applied to deal with the problem of observer-based control design for nonlinear time-delayed systems with fractional-order [Formula: see text]. By applying the Lyapunov–Krasovskii method, a fuzzy observer–based controller is established to stabilize the time-delayed fractional-order Takagi–Sugeno fuzzy model. Also, the problem of disturbance rejection for the addressed systems is studied via the state-feedback method in the form of a parallel distributed compensation approach. Furthermore, sufficient conditions for the existence of state-feedback gains and observer gains are achieved in the terms of linear matrix inequalities. Finally, two numerical examples are simulated for the validation of the presented methods.

Robust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi-Sugeno Fuzzy Model With the Fractional Order 1≤v < 2

2013 ◽  
Vol 8 (4) ◽  
Author(s):  
Li Junmin ◽  
Li Yuting
Keyword(s):  
Fractional Order ◽  
Robust Stability ◽  
Fuzzy Controller ◽  
Fuzzy Model ◽  
Necessary Condition ◽  
Linear Matrix ◽  
Fractional Order Systems ◽  
Stability And Stabilization ◽  
Takagi Sugeno ◽  
Robust Stability And Stabilization

This paper addresses the problems of the robust stability and stabilization for fractional order systems based on the uncertain Takagi-Sugeno fuzzy model. A sufficient and necessary condition of asymptotical stability for fractional order uncertain T-S fuzzy model is given, and a parallel distributed compensate fuzzy controller is designed to asymptotically stabilize the model. The results are obtained in terms of linear matrix inequalities. Finally, a numerical example and fractional order Van der Pol system are given to show the effectiveness of our results.

scholarly journals Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-12 ◽  
Author(s):  
Yuting Li
Keyword(s):  
Fractional Order ◽  
Direct Method ◽  
Robust Stabilization ◽  
Fuzzy Model ◽  
Interconnected Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Lyapunov Direct Method ◽  
Takagi Sugeno ◽  
Order Extension

This paper concerns robust stabilization of nonlinear fractional order interconnected systems. Based on uncertain fractional order Takagi–Sugeno fuzzy model and the fractional order extension of lyapunov direct method, a parallel distributed compensate controller is designed to asymptotically stabilize the fractional order interconnected systems. Then, a sufficient condition is given in the format of linear matrix inequalities. Simulation example is given to validate the effectiveness of the approach.

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