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

Hong-Bin Zhang; Jian-Wei Xia; Yong-Bin Yu; Chuang-Yin Dang

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

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

Hong-Bin Zhang, Jian-Wei Xia, Yong-Bin Yu, Chuang-Yin Dang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

7 Citations (Scopus)

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.

Original language	English
Article number	30505
Journal	Chinese Physics B
Volume	19
Issue number	3
DOIs	https://doi.org/10.1088/1674-1056/19/3/030505
Publication status	Published - 2010

Research Keywords

Chaos
Chuas circuit
Piecewise quadratic Lyapunov functions
Synchronisation

Access Output

10.1088/1674-1056/19/3/030505

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{091c80037c0b433b95c9351d80a1a602,

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

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. {\textcopyright} 2010 Chinese Physical Society and IOP Publishing Ltd.",

keywords = "Chaos, Chuas circuit, Piecewise quadratic Lyapunov functions, Synchronisation",

author = "Hong-Bin Zhang and Jian-Wei Xia and Yong-Bin Yu and Chuang-Yin Dang",

year = "2010",

doi = "10.1088/1674-1056/19/3/030505",

language = "English",

volume = "19",

journal = "Chinese Physics B",

issn = "1674-1056",

publisher = "IOP Publishing",

number = "3",

}

TY - JOUR

T1 - Synchronising chaotic Chua's circuit using switching feedback control based on piecewise quadratic Lyapunov functions

AU - Zhang, Hong-Bin

AU - Xia, Jian-Wei

AU - Yu, Yong-Bin

AU - Dang, Chuang-Yin

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Chaos

KW - Chuas circuit

KW - Piecewise quadratic Lyapunov functions

KW - Synchronisation

UR - http://www.scopus.com/inward/record.url?scp=77949748417&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77949748417&origin=recordpage

U2 - 10.1088/1674-1056/19/3/030505

DO - 10.1088/1674-1056/19/3/030505

M3 - RGC 21 - Publication in refereed journal

SN - 1674-1056

VL - 19

JO - Chinese Physics B

JF - Chinese Physics B

IS - 3

M1 - 30505

ER -

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

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this