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

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

69 Citations (Scopus)

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
Publication status	Published - 2021 Feb

Bibliographical note

Funding Information:
Manuscript received July 16, 2018; revised September 19, 2018; accepted November 17, 2018. Date of publication December 7, 2018; date of current version January 19, 2021. This work was supported in part by the National Natural Science Foundation of China under Grant 61873310 and Grant 61790564, in part by the Heilongjiang Science Foundation under Grant F2018015, in part by the 111 Project under Grant B16014, and in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This paper was recommended by Associate Editor H. Ying. (Corresponding authors: Zhongyang Fei; Shuang Shi.) Z. Fei, S. Shi, and T. Wang are with the Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China (e-mail: [email protected]; [email protected]; [email protected]).

Publisher Copyright:
© 2013 IEEE.

Keywords

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

ASJC Scopus subject areas

Software
Control and Systems Engineering
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TSMC.2018.2882630

Cite this

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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.",

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note = "Funding Information: Manuscript received July 16, 2018; revised September 19, 2018; accepted November 17, 2018. Date of publication December 7, 2018; date of current version January 19, 2021. This work was supported in part by the National Natural Science Foundation of China under Grant 61873310 and Grant 61790564, in part by the Heilongjiang Science Foundation under Grant F2018015, in part by the 111 Project under Grant B16014, and in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This paper was recommended by Associate Editor H. Ying. (Corresponding authors: Zhongyang Fei; Shuang Shi.) Z. Fei, S. Shi, and T. Wang are with the Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China (e-mail: [email protected]; [email protected]; [email protected]). Publisher Copyright: {\textcopyright} 2013 IEEE.",

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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