Adaptive switching control and synchronization of chaotic systems with uncertainties

Jing Yao; Zhi Hong Guan; David J. Hill

doi:10.1142/S021812740501399X

Adaptive switching control and synchronization of chaotic systems with uncertainties

Jing Yao
, Zhi Hong Guan
, David J. Hill

Research output: Contribution to journal › Article › Research › peer-review

8 Citations (Scopus)

Abstract

In this paper, a new adaptive switching control scheme is presented to solve control and synchronization problems. Based on Lyapunov stability theory, an adaptive control law is applied to globally stabilize chaotic systems and achieve states synchronization of two chaotic systems whose dynamics are subjected to the system disturbances and/or some unknown parameters. Simulation examples, the chaotic Chen's system and Chua's circuit, are given to show the feasibility and effectiveness of the proposed theory and method.

Original language	English
Pages (from-to)	3381-3390
Number of pages	10
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	15
Issue number	10
DOIs	https://doi.org/10.1142/S021812740501399X
Publication status	Published - Oct 2005
Externally published	Yes

Keywords

Adaptive control
Chaotic systems
Switching control
Synchronization

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10.1142/S021812740501399X

Cite this

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title = "Adaptive switching control and synchronization of chaotic systems with uncertainties",

abstract = "In this paper, a new adaptive switching control scheme is presented to solve control and synchronization problems. Based on Lyapunov stability theory, an adaptive control law is applied to globally stabilize chaotic systems and achieve states synchronization of two chaotic systems whose dynamics are subjected to the system disturbances and/or some unknown parameters. Simulation examples, the chaotic Chen's system and Chua's circuit, are given to show the feasibility and effectiveness of the proposed theory and method.",

keywords = "Adaptive control, Chaotic systems, Switching control, Synchronization",

author = "Jing Yao and Guan, \{Zhi Hong\} and Hill, \{David J.\}",

note = "Funding Information: This work is supported by the National Natural Science Foundation of China under Grants 60074009 and 60274004, Hong Kong RGC under CERG 1232/02E, and City University of Hong Kong Project No. 9380026.",

year = "2005",

month = oct,

doi = "10.1142/S021812740501399X",

language = "English",

volume = "15",

pages = "3381--3390",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific Publishing",

number = "10",

}

TY - JOUR

T1 - Adaptive switching control and synchronization of chaotic systems with uncertainties

AU - Yao, Jing

AU - Guan, Zhi Hong

AU - Hill, David J.

N1 - Funding Information: This work is supported by the National Natural Science Foundation of China under Grants 60074009 and 60274004, Hong Kong RGC under CERG 1232/02E, and City University of Hong Kong Project No. 9380026.

PY - 2005/10

Y1 - 2005/10

N2 - In this paper, a new adaptive switching control scheme is presented to solve control and synchronization problems. Based on Lyapunov stability theory, an adaptive control law is applied to globally stabilize chaotic systems and achieve states synchronization of two chaotic systems whose dynamics are subjected to the system disturbances and/or some unknown parameters. Simulation examples, the chaotic Chen's system and Chua's circuit, are given to show the feasibility and effectiveness of the proposed theory and method.

AB - In this paper, a new adaptive switching control scheme is presented to solve control and synchronization problems. Based on Lyapunov stability theory, an adaptive control law is applied to globally stabilize chaotic systems and achieve states synchronization of two chaotic systems whose dynamics are subjected to the system disturbances and/or some unknown parameters. Simulation examples, the chaotic Chen's system and Chua's circuit, are given to show the feasibility and effectiveness of the proposed theory and method.

KW - Adaptive control

KW - Chaotic systems

KW - Switching control

KW - Synchronization

UR - https://www.scopus.com/pages/publications/29244442624

U2 - 10.1142/S021812740501399X

DO - 10.1142/S021812740501399X

M3 - Article

AN - SCOPUS:29244442624

SN - 0218-1274

VL - 15

SP - 3381

EP - 3390

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 10

ER -

Adaptive switching control and synchronization of chaotic systems with uncertainties

Abstract

Keywords

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