Non-fragile control and synchronization of a new fractional order chaotic system

Asheghan, Mohammad MostafaCommunications, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganes 28911, Madrid, Spain (författare)

Validerad; 2013; 20130906 (ysko)
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.

Delshad, Saleh S.Luleå tekniska universitet,Signaler och system(Swepub:ltu)salsay (författare)
Beheshti, Mohammad Taghi HamidiControl and Communication Networks Lab, Electrical Engineering Department, Tarbiat Modares University, Tehran, Iran (författare)
Tavazoeid, Mohammad SalehElectrical Engineering Department, Sharif University of Technology, Tehran, Iran (författare)
Communications, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganes 28911, Madrid, SpainSignaler och system (creator_code:org_t)

Ingår i:Applied Mathematics and Computation: Elsevier BV222, s. 712-7210096-30031873-5649

Av författaren/redakt...: Asheghan, Mohamm ...; Delshad, Saleh S ...; Beheshti, Mohamm ...; Tavazoeid, Moham ...

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