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Non-fragile control and synchronization of a new fractional order chaotic system
Universidad Carlos III de Madrid.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.
Control and Communication Networks Lab, Electrical Engineering Department, Tarbiat Modares University.
Electrical Engineering Department, Sharif University of Technology, Tehran.
2013 (English)In: Applied Mathematics and Computation, ISSN 0096-3003, E-ISSN 1873-5649, Vol. 222, p. 712-721Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2013. Vol. 222, p. 712-721
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-9010DOI: 10.1016/j.amc.2013.07.045ISI: 000326877300061Scopus ID: 2-s2.0-84884899669Local ID: 79193f82-e911-4dea-8c88-ad2f99361827OAI: oai:DiVA.org:ltu-9010DiVA, id: diva2:981948
Note
Validerad; 2013; 20130906 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Sayyaddelshad, Saleh

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