Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions

doi:10.1088/1674-1056/19/3/030505

Abstract This paper investigates the chaos synchronisation between two coupled chaotic Chua's circuits. The sufficient condition presented by linear matrix inequalities (LMIs) of global asymptotic synchronisation is attained based on piecewise quadratic Lyapunov functions. First, we obtain the piecewise linear differential inclusions (pwLDIs) model of synchronisation error dynamics, then we design a switching (piecewise-linear) feedback control law to stabilise it based on the piecewise quadratic Laypunov functions. Then we give some numerical simulations to demonstrate the effectiveness of our theoretical results.

Keywords: chaos Chua's circuit piecewise quadratic Lyapunov functions synchronisation

Received: 04 September 2008
Revised: 09 July 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)
	02.10.Yn	(Matrix theory)
	02.30.Yy	(Control theory)
	84.30.Bv	(Circuit theory)

Fund: Project partially supported by the grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Grant No.~101005), the National Natural Science Foundation of China (Grant No.~60904004), the Key Youth Science and Technology Foundation of University of Electronic Science and Technology of China (Grant No.~L08010201JX0720).

Cite this article:

Zhang Hong-Bin(张洪斌), Xia Jian-Wei(夏建伟), Yu Yong-Bin(于永斌), and Dang Chuang-Yin(党创寅) Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions 2010 Chin. Phys. B 19 030505

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Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions

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