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

作　　者：张洪斌 夏建伟 于永斌 党创寅 

机构地区：[1]School of Electronic Engineering,University of Electronic Science and Technology of China [2]Manufacturing Engineering & Engineering Management,City University of Hong Kong [3]School of Mathematics Science,Liaocheng University,Liaocheng 252000,China [4]School of Computer Science & Engineering,University of Electronic Science and Technology of China

出　　处：《Chinese Physics B》2010年第3期122-129,共8页中国物理B（英文版）

基　　金：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)

摘　　要：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.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.

关 键 词：CHAOS Chua＇s circuit piecewise quadratic Lyapunov functions synchronisation 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]