Positivity and Stability Analysis for Fractional-Order Delayed Systems: A T-S Fuzzy Model Approach

2020 ◽  
pp. 1-1 ◽  
Author(s):  
Heng Liu ◽  
Yongping Pan ◽  
Jinde Cao ◽  
Yan Zhou ◽  
Hongxing Wang
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Fuzzy Model ◽  
Delayed Systems ◽  
Model Approach

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.

Stability analysis for fractional-order PD controlled delayed systems

2016 ◽  
Vol 353 (13) ◽  
pp. 3118-3132 ◽  
Author(s):  
Changchun Hua ◽  
Yafeng Li ◽  
Dan Liu ◽  
Xinping Guan
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Delayed Systems

Robust Stability Analysis of Interval Fractional-Order Plants with Interval Time delay and General Form of Fractional-Order Controllers

2021 ◽  
pp. 1-1
Author(s):  
Majid Ghorbani ◽  
Mahsan Tavakoli-Kakhki ◽  
Aleksei Tepljakov ◽  
Eduard Petlenkov ◽  
Arash Farnam ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Fractional Order ◽  
Robust Stability ◽  
Interval Time ◽  
Robust Stability Analysis
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