Chaotic synchronization using sampled-data fuzzy controller based on fuzzy-model-based approach

Hak Keung Lam; Lakmal D. Seneviratne

doi:10.1109/TCSI.2008.916413

Chaotic synchronization using sampled-data fuzzy controller based on fuzzy-model-based approach

Hak Keung Lam, Lakmal D. Seneviratne

Mechanical & Nuclear Engineering

King's College London

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

52 Scopus citations

Abstract

This paper presents the synchronization of chaotic system using a sampled-data fuzzy controller. To carry out the system analysis, a fuzzy model is employed to represent the chaotic systems. Linear-matrix-inequality (LMI)-based system stability and performance conditions are derived using a Lyapunov-based approach. The derived LMI-based stability and performance conditions are employed to aid the design of a stable and well-performing sampled-data fuzzy controller to achieve the synchronization of chaotic systems. An application example is given to illustrate the merits of the proposed approach.

Original language	British English
Pages (from-to)	883-892
Number of pages	10
Journal	IEEE Transactions on Circuits and Systems I: Regular Papers
Volume	55
Issue number	3
DOIs	https://doi.org/10.1109/TCSI.2008.916413
State	Published - Apr 2008

Keywords

Chaos
Fuzzy control
Nonlinear systems
Sampled-data systems
Stability
Synchronization

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10.1109/TCSI.2008.916413

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abstract = "This paper presents the synchronization of chaotic system using a sampled-data fuzzy controller. To carry out the system analysis, a fuzzy model is employed to represent the chaotic systems. Linear-matrix-inequality (LMI)-based system stability and performance conditions are derived using a Lyapunov-based approach. The derived LMI-based stability and performance conditions are employed to aid the design of a stable and well-performing sampled-data fuzzy controller to achieve the synchronization of chaotic systems. An application example is given to illustrate the merits of the proposed approach.",

keywords = "Chaos, Fuzzy control, Nonlinear systems, Sampled-data systems, Stability, Synchronization",

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note = "Funding Information: Manuscript received January 12, 2006; revised August 9, 2006. This work was supported by the Division of Engineering, King{\textquoteright}s College London. This paper was recommended by Associate Editor C. W. Wu. The authors are with the Department of Electronic Engineering, Division of Engineering, King{\textquoteright}s College London, Strand, London, WC2R 2LS, U.K. (e-mail: [email protected]). Digital Object Identifier 10.1109/TCSI.2008.916413",

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AB - This paper presents the synchronization of chaotic system using a sampled-data fuzzy controller. To carry out the system analysis, a fuzzy model is employed to represent the chaotic systems. Linear-matrix-inequality (LMI)-based system stability and performance conditions are derived using a Lyapunov-based approach. The derived LMI-based stability and performance conditions are employed to aid the design of a stable and well-performing sampled-data fuzzy controller to achieve the synchronization of chaotic systems. An application example is given to illustrate the merits of the proposed approach.

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KW - Fuzzy control

KW - Nonlinear systems

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KW - Stability

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Chaotic synchronization using sampled-data fuzzy controller based on fuzzy-model-based approach

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Keywords

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