TY - JOUR
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
N1 - 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: zhongyang.fei@hit.edu.cn; shishuang714@gmail.com; tongwang2006@gmail.com).
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
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U2 - 10.1109/TSMC.2018.2882630
DO - 10.1109/TSMC.2018.2882630
M3 - Article
AN - SCOPUS:85058159007
VL - 51
SP - 712
EP - 720
JO - IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans
JF - IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans
SN - 1083-4427
IS - 2
M1 - 8568004
ER -