Robust stability and stabilization of multi‐order fractional‐order systems with interval uncertainties: An LMI approach

2021 ◽  
Author(s):  
Jun‐Guo Lu ◽  
Zhen Zhu ◽  
Ying‐Dong Ma
Keyword(s):  
Fractional Order ◽  
Robust Stability ◽  
Fractional Order Systems ◽  
Lmi Approach ◽  
Interval Uncertainties ◽  
Stability And Stabilization ◽  
Robust Stability And Stabilization

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.

Robust stability and stabilization of uncertain fractional order systems subject to input saturation

2017 ◽  
Vol 24 (16) ◽  
pp. 3676-3683 ◽  
Author(s):  
Esmat Sadat Alaviyan Shahri ◽  
Alireza Alfi ◽  
JA Tenreiro Machado
Keyword(s):  
Fractional Order ◽  
Robust Stability ◽  
State Feedback ◽  
Input Saturation ◽  
Sufficient Conditions ◽  
Fractional Order Systems ◽  
Numerical Examples ◽  
Stability And Stabilization ◽  
The Stability ◽  
Robust Stability And Stabilization

This paper studies the stability and the stabilization for a class of uncertain fractional order (FO) systems subject to input saturation. The Lipschitz condition and the Gronwall–Bellman lemma are adopted and sufficient conditions are derived to stabilize systems by designing a state feedback controller. Numerical examples demonstrate the effectiveness of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document