Paper Info
Title
Non-fragile control and synchronization of a new fractional order chaotic system
Abstract
In this paper, we address global non-fragile control and synchronization of a new fractional order chaotic system. First we inspect the chaotic behavior of the fractional order system under study and also find the lowest order (2.49) for the introduced dynamics to remain chaotic. Then, a necessary and sufficient condition which can be easily extended to other fractional-order systems is proposed in terms of Linear Matrix Inequality (LMI) to check whether the candidate state feedback controller with parameter uncertainty can guarantee zero convergence of error or not. In addition, the proposed method provides a global zero attraction of error that guarantees stability around all existing equilibrium points. Finally, numerical simulation are employed to verify the validity of the proposed algorithm.
Year
DOI
Venue
2013
10.1016/j.amc.2013.07.045
Applied Mathematics and Computation
Keywords
Field
DocType
non-fragile control,fractional order system,lowest order,chaotic system,chaotic behavior,global non-fragile control,new fractional order,fractional-order system,zero attraction,proposed algorithm,robust control
Mathematical optimization,Synchronization,Full state feedback,Control theory,Equilibrium point,Fractional-order system,Chaotic,Robust control,Mathematics,Linear matrix inequality,Synchronization of chaos
Journal
Volume
ISSN
Citations 
222,
0096-3003
2
PageRank 
References 
Authors
0.41
5
4
Name
Order
Citations
PageRank
Mohammad Mostafa Asheghan130.89
Saleh S. Delshad2162.05
Mohammad Taghi Hamidi Beheshti3162.43
Mohammad Saleh Tavazoei427137.63