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

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Detail(s)

Original languageEnglish
Article number30505
Journal / PublicationChinese Physics B
Volume19
Issue number3
Publication statusPublished - 2010

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. © 2010 Chinese Physical Society and IOP Publishing Ltd.

Research Area(s)

  • Chaos, Chuas circuit, Piecewise quadratic Lyapunov functions, Synchronisation