Improved Stability Criteria for Discrete-Time Switched T-S Fuzzy Systems

Zhongyang Fei; Shuang Shi; Tong Wang; Choon Ki Ahn

doi:10.1109/TSMC.2018.2882630

Improved Stability Criteria for Discrete-Time Switched T-S Fuzzy Systems

Zhongyang Fei^*
, Shuang Shi
, Tong Wang
, Choon Ki Ahn

^*Corresponding author for this work

School of Astronautics

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

80 Scopus citations

Abstract

This paper concerns with the stability analysis for a class of discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. By establishing a semitime-dependent Lyapunov function and exploring the property of mode-dependent average dwell-time switching, improved stability criteria are provided for switched T-S fuzzy systems containing both stable and unstable modes. Then, slow and fast switching strategies are designed, which are adopted for stable and unstable subsystems, respectively. Especially, we also provide the stability conditions for switched systems with all modes stable and unstable. Finally, the validities and advantages of provided techniques are illustrated by some simulation examples.

Original language	English
Article number	8568004
Pages (from-to)	712-720
Number of pages	9
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	51
Issue number	2
DOIs	https://doi.org/10.1109/TSMC.2018.2882630
State	Published - Feb 2021

Keywords

Extended mode-dependent average dwell-time
stability analysis
switched Takagi-Sugeno (T-S) fuzzy system

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10.1109/TSMC.2018.2882630

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title = "Improved Stability Criteria for Discrete-Time Switched T-S Fuzzy Systems",

abstract = "This paper concerns with the stability analysis for a class of discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. By establishing a semitime-dependent Lyapunov function and exploring the property of mode-dependent average dwell-time switching, improved stability criteria are provided for switched T-S fuzzy systems containing both stable and unstable modes. Then, slow and fast switching strategies are designed, which are adopted for stable and unstable subsystems, respectively. Especially, we also provide the stability conditions for switched systems with all modes stable and unstable. Finally, the validities and advantages of provided techniques are illustrated by some simulation examples.",

keywords = "Extended mode-dependent average dwell-time, stability analysis, switched Takagi-Sugeno (T-S) fuzzy system",

author = "Zhongyang Fei and Shuang Shi and Tong Wang and Ahn, \{Choon Ki\}",

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T1 - Improved Stability Criteria for Discrete-Time Switched T-S Fuzzy Systems

AU - Fei, Zhongyang

AU - Shi, Shuang

AU - Wang, Tong

AU - Ahn, Choon Ki

PY - 2021/2

Y1 - 2021/2

N2 - This paper concerns with the stability analysis for a class of discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. By establishing a semitime-dependent Lyapunov function and exploring the property of mode-dependent average dwell-time switching, improved stability criteria are provided for switched T-S fuzzy systems containing both stable and unstable modes. Then, slow and fast switching strategies are designed, which are adopted for stable and unstable subsystems, respectively. Especially, we also provide the stability conditions for switched systems with all modes stable and unstable. Finally, the validities and advantages of provided techniques are illustrated by some simulation examples.

AB - This paper concerns with the stability analysis for a class of discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. By establishing a semitime-dependent Lyapunov function and exploring the property of mode-dependent average dwell-time switching, improved stability criteria are provided for switched T-S fuzzy systems containing both stable and unstable modes. Then, slow and fast switching strategies are designed, which are adopted for stable and unstable subsystems, respectively. Especially, we also provide the stability conditions for switched systems with all modes stable and unstable. Finally, the validities and advantages of provided techniques are illustrated by some simulation examples.

KW - Extended mode-dependent average dwell-time

KW - stability analysis

KW - switched Takagi-Sugeno (T-S) fuzzy system

UR - https://www.scopus.com/pages/publications/85058159007

U2 - 10.1109/TSMC.2018.2882630

DO - 10.1109/TSMC.2018.2882630

M3 - 文章

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SN - 2168-2216

VL - 51

SP - 712

EP - 720

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

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

IS - 2

M1 - 8568004

ER -

Improved Stability Criteria for Discrete-Time Switched T-S Fuzzy Systems

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Keywords

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