New Methods of Fuzzy Sampled-Data Control for Stabilization of Chaotic Systems

Tae H. Lee; Ju H. Park

doi:10.1109/TSMC.2017.2690803

New Methods of Fuzzy Sampled-Data Control for Stabilization of Chaotic Systems

Tae H. Lee
, Ju H. Park^*

^*Corresponding author for this work

Division of Electronic Engineering

Yeungnam University
Deakin University

Research output: Contribution to journal › Journal article › peer-review

153 Scopus citations

Abstract

This paper focuses on developing new design methods of the sampled-data controller for chaotic systems which are represented as Takagi-Sugeno (T-S) fuzzy models. Two novel approaches, sampling-instant-to-present-time fragmentation and free-matrix-based time-dependent discontinuous Lyapunov approach, are proposed for the first time. Based on the two new approaches, the T-S fuzzy sampled-data controller is designed for stabilization of chaotic systems under large sampling period. The superiority of proposed results is shown by a numerical example.

Original language	English
Article number	7904740
Pages (from-to)	2026-2034
Number of pages	9
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	48
Issue number	12
DOIs	https://doi.org/10.1109/TSMC.2017.2690803
State	Published - 2018.12

Keywords

Chaotic system
Takagi-Sugeno (T-S) fuzzy systems
discontinuous Lyapunov functional
sampled-data control

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10.1109/TSMC.2017.2690803

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title = "New Methods of Fuzzy Sampled-Data Control for Stabilization of Chaotic Systems",

abstract = "This paper focuses on developing new design methods of the sampled-data controller for chaotic systems which are represented as Takagi-Sugeno (T-S) fuzzy models. Two novel approaches, sampling-instant-to-present-time fragmentation and free-matrix-based time-dependent discontinuous Lyapunov approach, are proposed for the first time. Based on the two new approaches, the T-S fuzzy sampled-data controller is designed for stabilization of chaotic systems under large sampling period. The superiority of proposed results is shown by a numerical example.",

keywords = "Chaotic system, Takagi-Sugeno (T-S) fuzzy systems, discontinuous Lyapunov functional, sampled-data control",

author = "Lee, \{Tae H.\} and Park, \{Ju H.\}",

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year = "2018",

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AU - Lee, Tae H.

AU - Park, Ju H.

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N2 - This paper focuses on developing new design methods of the sampled-data controller for chaotic systems which are represented as Takagi-Sugeno (T-S) fuzzy models. Two novel approaches, sampling-instant-to-present-time fragmentation and free-matrix-based time-dependent discontinuous Lyapunov approach, are proposed for the first time. Based on the two new approaches, the T-S fuzzy sampled-data controller is designed for stabilization of chaotic systems under large sampling period. The superiority of proposed results is shown by a numerical example.

AB - This paper focuses on developing new design methods of the sampled-data controller for chaotic systems which are represented as Takagi-Sugeno (T-S) fuzzy models. Two novel approaches, sampling-instant-to-present-time fragmentation and free-matrix-based time-dependent discontinuous Lyapunov approach, are proposed for the first time. Based on the two new approaches, the T-S fuzzy sampled-data controller is designed for stabilization of chaotic systems under large sampling period. The superiority of proposed results is shown by a numerical example.

KW - Chaotic system

KW - Takagi-Sugeno (T-S) fuzzy systems

KW - discontinuous Lyapunov functional

KW - sampled-data control

UR - https://www.scopus.com/pages/publications/85045923160

U2 - 10.1109/TSMC.2017.2690803

DO - 10.1109/TSMC.2017.2690803

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AN - SCOPUS:85045923160

SN - 2168-2216

VL - 48

SP - 2026

EP - 2034

JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems

JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems

IS - 12

M1 - 7904740

ER -

New Methods of Fuzzy Sampled-Data Control for Stabilization of Chaotic Systems

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Keywords

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