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Synchronization of uncertain chaotic systems with unknown response systems.(Report)

Considering the situation with the same dimension but different structure in driven system and response system, a new kind of robust adaptive synchronization controller is designed based on the Lyapunov stability theorem. Both the unknown parameters and uncertain functions are considered and an adap... Full description

Journal Title: Journal of Computers Jan, 2013, Vol.8(1), p.178(8)
Main Author: Wang, Xinyu
Other Authors: Wang, Hongxing , Lei, Junwei
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: ISSN: 1796-203X
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recordid: gale_ofa351612549
title: Synchronization of uncertain chaotic systems with unknown response systems.(Report)
format: Article
creator:
  • Wang, Xinyu
  • Wang, Hongxing
  • Lei, Junwei
subjects:
  • Chaotic Systems -- Research
  • Liapunov Functions -- Research
  • Theorems (Mathematics) -- Research
ispartof: Journal of Computers, Jan, 2013, Vol.8(1), p.178(8)
description: Considering the situation with the same dimension but different structure in driven system and response system, a new kind of robust adaptive synchronization controller is designed based on the Lyapunov stability theorem. Both the unknown parameters and uncertain functions are considered and an adaptive turning law is constructed to handle the unknown parameters and a robust control law is adopted to deal with the uncertain functions in the system. At last, a four dimension chaotic system is taken as an example to testify the rightness of the proposed method. And numerical simulation result shows that the proposed method can realize the synchronization between driven chaotic system and response system with unknown parameters and uncertain nonlinear functions. Index Terms--chaos, adaptive, uncertainty, synchronization, unknown parameter, robust
language: English
source:
identifier: ISSN: 1796-203X
fulltext: fulltext
issn:
  • 1796-203X
  • 1796203X
url: Link


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titleSynchronization of uncertain chaotic systems with unknown response systems.(Report)
creatorWang, Xinyu ; Wang, Hongxing ; Lei, Junwei
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identifierISSN: 1796-203X
subjectChaotic Systems -- Research ; Liapunov Functions -- Research ; Theorems (Mathematics) -- Research
descriptionConsidering the situation with the same dimension but different structure in driven system and response system, a new kind of robust adaptive synchronization controller is designed based on the Lyapunov stability theorem. Both the unknown parameters and uncertain functions are considered and an adaptive turning law is constructed to handle the unknown parameters and a robust control law is adopted to deal with the uncertain functions in the system. At last, a four dimension chaotic system is taken as an example to testify the rightness of the proposed method. And numerical simulation result shows that the proposed method can realize the synchronization between driven chaotic system and response system with unknown parameters and uncertain nonlinear functions. Index Terms--chaos, adaptive, uncertainty, synchronization, unknown parameter, robust
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titleSynchronization of uncertain chaotic systems with unknown response systems.(Report)
descriptionConsidering the situation with the same dimension but different structure in driven system and response system, a new kind of robust adaptive synchronization controller is designed based on the Lyapunov stability theorem. Both the unknown parameters and uncertain functions are considered and an adaptive turning law is constructed to handle the unknown parameters and a robust control law is adopted to deal with the uncertain functions in the system. At last, a four dimension chaotic system is taken as an example to testify the rightness of the proposed method. And numerical simulation result shows that the proposed method can realize the synchronization between driven chaotic system and response system with unknown parameters and uncertain nonlinear functions. Index Terms--chaos, adaptive, uncertainty, synchronization, unknown parameter, robust
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titleSynchronization of uncertain chaotic systems with unknown response systems.(Report)
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abstractConsidering the situation with the same dimension but different structure in driven system and response system, a new kind of robust adaptive synchronization controller is designed based on the Lyapunov stability theorem. Both the unknown parameters and uncertain functions are considered and an adaptive turning law is constructed to handle the unknown parameters and a robust control law is adopted to deal with the uncertain functions in the system. At last, a four dimension chaotic system is taken as an example to testify the rightness of the proposed method. And numerical simulation result shows that the proposed method can realize the synchronization between driven chaotic system and response system with unknown parameters and uncertain nonlinear functions. Index Terms--chaos, adaptive, uncertainty, synchronization, unknown parameter, robust
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doi10.4304/jcp.8.1.178-185
pages178-185
date2013-01-01