LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller

Ju H. Park; O. M. Kwon; S. M. Lee

doi:10.1016/j.amc.2007.05.045

LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller

Ju H. Park
, O. M. Kwon
, S. M. Lee

School of Electronics Engineering

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

40 Scopus citations

Abstract

In this paper, a design method for a new controller to control the Genesio-Tesi chaotic systems is proposed. In this work, a dynamic outputs feedback controller for the system is developed for the first time. For stability analysis, a well-known Lyapunov stability theorem combining with LMI (linear matrix inequality) optimization approach is utilized. A numerical simulation is presented to show the usefulness of the proposed control scheme.

Original language	English
Pages (from-to)	200-206
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	196
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.05.045
State	Published - 15 Feb 2008

Keywords

Chaos
Dynamic controller
Genesio-Tesi system
LMI optimization
Stabilization

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10.1016/j.amc.2007.05.045

Cite this

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title = "LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller",

abstract = "In this paper, a design method for a new controller to control the Genesio-Tesi chaotic systems is proposed. In this work, a dynamic outputs feedback controller for the system is developed for the first time. For stability analysis, a well-known Lyapunov stability theorem combining with LMI (linear matrix inequality) optimization approach is utilized. A numerical simulation is presented to show the usefulness of the proposed control scheme.",

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AU - Kwon, O. M.

AU - Lee, S. M.

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Y1 - 2008/2/15

N2 - In this paper, a design method for a new controller to control the Genesio-Tesi chaotic systems is proposed. In this work, a dynamic outputs feedback controller for the system is developed for the first time. For stability analysis, a well-known Lyapunov stability theorem combining with LMI (linear matrix inequality) optimization approach is utilized. A numerical simulation is presented to show the usefulness of the proposed control scheme.

AB - In this paper, a design method for a new controller to control the Genesio-Tesi chaotic systems is proposed. In this work, a dynamic outputs feedback controller for the system is developed for the first time. For stability analysis, a well-known Lyapunov stability theorem combining with LMI (linear matrix inequality) optimization approach is utilized. A numerical simulation is presented to show the usefulness of the proposed control scheme.

KW - Chaos

KW - Dynamic controller

KW - Genesio-Tesi system

KW - LMI optimization

KW - Stabilization

UR - https://www.scopus.com/pages/publications/38049007379

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller

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Keywords

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