State estimation strategy for fractional order systems with noises and multiple time delayed measurements

2017 ◽  
Vol 11 (1) ◽  
pp. 9-17 ◽  
Author(s):  
Ali Azami ◽  
Seyed Vahid Naghavi ◽  
Reza Dadkhah Tehrani ◽  
Mohammad Hassan Khooban ◽  
Faridoon Shabaninia
Keyword(s):  
State Estimation ◽  
Fractional Order ◽  
Multiple Time ◽  
Fractional Order Systems ◽  
Estimation Strategy ◽  
Delayed Measurements

On Observability and Pseudo State Estimation of Fractional Order Systems

2012 ◽  
Vol 18 (3) ◽  
pp. 260-271 ◽  
Author(s):  
Jocelyn Sabatier ◽  
Christophe Farges ◽  
Mathieu Merveillaut ◽  
Ludovic Feneteau
Keyword(s):  
State Estimation ◽  
Fractional Order ◽  
Fractional Order Systems

State estimation for nonlinear conformable fractional‐order systems: A healthy operating case and a faulty operating case

2019 ◽  
Vol 22 (5) ◽  
pp. 1870-1879 ◽  
Author(s):  
Assaad Jmal ◽  
Mourad Elloumi ◽  
Omar Naifar ◽  
Abdellatif Ben Makhlouf ◽  
Mohamed Ali Hammami
Keyword(s):  
State Estimation ◽  
Fractional Order ◽  
Fractional Order Systems

scholarly journals Multi-Switching Combination Synchronization of Three Fractional-Order Delayed Systems

2019 ◽  
Vol 9 (20) ◽  
pp. 4348 ◽  
Author(s):  
Bo Li ◽  
Yun Wang ◽  
Xiaobing Zhou
Keyword(s):  
Theoretical Analysis ◽  
Fractional Order ◽  
Stability Theory ◽  
Time Delays ◽  
Multiple Time ◽  
Fractional Order Systems ◽  
Delayed Systems ◽  
Combination Synchronization ◽  
Multiple Time Delays ◽  
The Stability

Multi-switching combination synchronization of three fractional-order delayed systems is investigated. This is a generalization of previous multi-switching combination synchronization of fractional-order systems by introducing time-delays. Based on the stability theory of linear fractional-order systems with multiple time-delays, we propose appropriate controllers to obtain multi-switching combination synchronization of three non-identical fractional-order delayed systems. In addition, the results of our numerical simulations show that they are in accordance with the theoretical analysis.

scholarly journals Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Bo Li ◽  
Xiaobing Zhou ◽  
Yun Wang
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Time Delays ◽  
Chaotic Systems ◽  
Multiple Time ◽  
Engineering Systems ◽  
Fractional Order Systems ◽  
Combination Synchronization ◽  
Multiple Time Delays ◽  
Practical Engineering

Time delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics. There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage. Combination synchronization of three different fractional-order delayed chaotic systems is investigated in this paper. It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional-order chaotic systems. With the help of stability theory of linear fractional-order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional-order delayed chaotic systems. In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis.

State Estimation for Fractional-Order Systems

2021 ◽  
pp. 49-74
Author(s):  
Omar Naifar ◽  
Assaad Jmal ◽  
Abdellatif Ben Makhlouf ◽  
Nabil Derbel ◽  
Mohamed Ali Hammami
Keyword(s):  
State Estimation ◽  
Fractional Order ◽  
Fractional Order Systems
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