Observer-Based Approach for Fractional-Order Chaotic Synchronization and Communication

Ndoye, Ibrahima; Darouach, Mohamed; Voos, Holger

Reference : Observer-Based Approach for Fractional-Order Chaotic Synchronization and Communication


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Computer science
	To cite this reference:	http://hdl.handle.net/10993/6137

Title :	Observer-Based Approach for Fractional-Order Chaotic Synchronization and Communication
Language :	English
Author, co-author :	Ndoye, Ibrahima [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Darouach, Mohamed [> >]
	Voos, Holger [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)]
Publication date :	2013
Main document title :	European Control Conference (ECC), Switzerland, July 17-19, 2013
Peer reviewed :	Yes
Audience :	International
Event name :	European Control Conference (ECC)
Event date :	July 17-19, 2013
Event place (city) :	ETH Zürich
Event country :	Switzerland
Keywords :	[en] Fractional-order calculus ; fractional-order chaotic systems ; fractional-order observer ; linear matrix inequality (LMI) ; chaotic synchronization ; secure communication ; observer based controller
Abstract :	[en] This paper presents a method based on the state observer design for constructing a chaotically synchronized systems. Fractional-order direct Lyapunov theorem is used to derive the closed-loop asymptotic stability. The gains of the observer and observer-based controller are obtained in terms of linear matrix inequalities (LMIs) formulation. The proposed approach is then applied to secure communications. The method combines chaotic masking and chaotic modulation, where the information signal is injected into the transmitter and simultaneously transmitted to the receiver. Chaotic synchronization and chaotic communication are achieved simultaneously via a state observer design technique. An numerical fractional-order chaotic Lorenz system is given to demonstrate the applicability of the proposed approach.
Permalink :	http://hdl.handle.net/10993/6137

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