Sliding mode synchronization of an uncertain fractional order chaotic system

S. H. Hosseinnia; R. Ghaderi; A. Ranjbar N.; M. Mahmoudian; S. Momani

doi:10.1016/j.camwa.2009.08.021

Sliding mode synchronization of an uncertain fractional order chaotic system

S. H. Hosseinnia
, R. Ghaderi
, A. Ranjbar N.
, M. Mahmoudian
, S. Momani

Babol Noshirvani University of Technology
University of Golestan
University of Mutah

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

184 Scopus citations

Abstract

Synchronization of chaotic and uncertain Duffing-Holmes system has been done using the sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but also a rather simple stability analysis is performed. The latter is usually a complicated task for uncertain nonlinear chaotic systems. Crown

Original language	English
Pages (from-to)	1637-1643
Number of pages	7
Journal	Computers and Mathematics with Applications
Volume	59
Issue number	5
DOIs	https://doi.org/10.1016/j.camwa.2009.08.021
State	Published - Mar 2010
Externally published	Yes

Keywords

Chaos
Duffing-Holmes
Fractional derivative
Lyapunov stability analysis
Sliding mode control (SMC)
Synchronization

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10.1016/j.camwa.2009.08.021

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title = "Sliding mode synchronization of an uncertain fractional order chaotic system",

abstract = "Synchronization of chaotic and uncertain Duffing-Holmes system has been done using the sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but also a rather simple stability analysis is performed. The latter is usually a complicated task for uncertain nonlinear chaotic systems. Crown",

keywords = "Chaos, Duffing-Holmes, Fractional derivative, Lyapunov stability analysis, Sliding mode control (SMC), Synchronization",

author = "Hosseinnia, \{S. H.\} and R. Ghaderi and \{Ranjbar N.\}, A. and M. Mahmoudian and S. Momani",

year = "2010",

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doi = "10.1016/j.camwa.2009.08.021",

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T1 - Sliding mode synchronization of an uncertain fractional order chaotic system

AU - Hosseinnia, S. H.

AU - Ghaderi, R.

AU - Ranjbar N., A.

AU - Mahmoudian, M.

AU - Momani, S.

PY - 2010/3

Y1 - 2010/3

N2 - Synchronization of chaotic and uncertain Duffing-Holmes system has been done using the sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but also a rather simple stability analysis is performed. The latter is usually a complicated task for uncertain nonlinear chaotic systems. Crown

AB - Synchronization of chaotic and uncertain Duffing-Holmes system has been done using the sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but also a rather simple stability analysis is performed. The latter is usually a complicated task for uncertain nonlinear chaotic systems. Crown

KW - Chaos

KW - Duffing-Holmes

KW - Fractional derivative

KW - Lyapunov stability analysis

KW - Sliding mode control (SMC)

KW - Synchronization

UR - https://www.scopus.com/pages/publications/76449089238

U2 - 10.1016/j.camwa.2009.08.021

DO - 10.1016/j.camwa.2009.08.021

M3 - Article

AN - SCOPUS:76449089238

SN - 0898-1221

VL - 59

SP - 1637

EP - 1643

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5

ER -

Sliding mode synchronization of an uncertain fractional order chaotic system

Abstract

Keywords

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