Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays

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

doi:10.1016/j.fss.2011.12.014

Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays

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

School of Electronics Engineering

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

108 Scopus citations

Abstract

This paper considers the problem of robust stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional and utilizing Finsler's Lemma, a novel criterion for delay-dependent robust stability of T-S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further improved stability criterion is proposed by utilizing free weighting techniques. Finally, three numerical examples are included to show the superiority of the proposed criteria.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Fuzzy Sets and Systems
Volume	201
DOIs	https://doi.org/10.1016/j.fss.2011.12.014
State	Published - 16 Aug 2012

Keywords

Fuzzy system models
LMI
Lyapunov method
Stability
T-S fuzzy systems
Time-varying delay

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10.1016/j.fss.2011.12.014

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title = "Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays",

abstract = "This paper considers the problem of robust stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional and utilizing Finsler's Lemma, a novel criterion for delay-dependent robust stability of T-S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further improved stability criterion is proposed by utilizing free weighting techniques. Finally, three numerical examples are included to show the superiority of the proposed criteria.",

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AU - Kwon, O. M.

AU - Park, M. J.

AU - Lee, S. M.

AU - Park, Ju H.

PY - 2012/8/16

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N2 - This paper considers the problem of robust stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional and utilizing Finsler's Lemma, a novel criterion for delay-dependent robust stability of T-S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further improved stability criterion is proposed by utilizing free weighting techniques. Finally, three numerical examples are included to show the superiority of the proposed criteria.

AB - This paper considers the problem of robust stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional and utilizing Finsler's Lemma, a novel criterion for delay-dependent robust stability of T-S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further improved stability criterion is proposed by utilizing free weighting techniques. Finally, three numerical examples are included to show the superiority of the proposed criteria.

KW - Fuzzy system models

KW - LMI

KW - Lyapunov method

KW - Stability

KW - T-S fuzzy systems

KW - Time-varying delay

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SP - 1

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays

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Keywords

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