Asynchronous Filtering for Discrete-Time Switched T-S Fuzzy Systems

Shuang Shi; Zhongyang Fei; Peng Shi; Choon Ki Ahn

doi:10.1109/TFUZZ.2019.2917667

Asynchronous Filtering for Discrete-Time Switched T-S Fuzzy Systems

Shuang Shi, Zhongyang Fei, Peng Shi, Choon Ki Ahn

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

70 Citations (Scopus)

Abstract

In this paper, asynchronous $\mathcal {H}_{\infty }$ filtering is studied for discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. New Lyapunov functions are constructed for switched systems with asynchronous switching between subsystems and candidate filters. These improved Lyapunov functions are dependent on the mode of filters instead of subsystems, which are more consistent with the switching mechanism of switched systems with asynchronous switching. Meanwhile, they are quasi-time-dependent, which are effective in achieving more general results than traditional time-independent Lyapunov functions. Based on the new Lyapunov functions, a stability and $\ell _{2}$-gain criterion is deduced for switched T-S fuzzy systems. Then, switched fuzzy filters are designed to guarantee that the filtering error system is globally uniformly asymptotically stable and has a prescribed $\mathcal {H}_{\infty }$ performance. At last, an illustrative example is provided to demonstrate the potentials and advantages of the proposed filtering scheme.

Original language	English
Article number	8718335
Pages (from-to)	1531-1541
Number of pages	11
Journal	IEEE Transactions on Fuzzy Systems
Volume	28
Issue number	8
DOIs	https://doi.org/10.1109/TFUZZ.2019.2917667
Publication status	Published - 2020 Aug

Bibliographical note

Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 61873310, Grant 61790564, and Grant 61773131, in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325, in part by theHeilongjiang Science Foundation under Grant F2018015, and in part by the Australian Research Council under Grant DP170102644.

Funding Information:
Manuscript received June 29, 2018; revised October 19, 2018 and February 20, 2019; accepted May 10, 2019. Date of publication May 20, 2019; date of current version August 4, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 61873310, Grant 61790564, and Grant 61773131, in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325, in part by the Heilongjiang Science Foundation under Grant F2018015, and in part by the Australian Research Council under Grant DP170102644. (Corresponding author: Zhongyang Fei.) S. Shi and Z. Fei are with the Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China (e-mail: [email protected]; [email protected]).

Publisher Copyright:
© 1993-2012 IEEE.

Keywords

Asynchronous switching
discrete-time filtering
mode-dependent hybrid dwell time

ASJC Scopus subject areas

Control and Systems Engineering
Computational Theory and Mathematics
Artificial Intelligence
Applied Mathematics

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10.1109/TFUZZ.2019.2917667

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title = "Asynchronous Filtering for Discrete-Time Switched T-S Fuzzy Systems",

abstract = "In this paper, asynchronous $\mathcal {H}_{\infty }$ filtering is studied for discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. New Lyapunov functions are constructed for switched systems with asynchronous switching between subsystems and candidate filters. These improved Lyapunov functions are dependent on the mode of filters instead of subsystems, which are more consistent with the switching mechanism of switched systems with asynchronous switching. Meanwhile, they are quasi-time-dependent, which are effective in achieving more general results than traditional time-independent Lyapunov functions. Based on the new Lyapunov functions, a stability and $\ell _{2}$-gain criterion is deduced for switched T-S fuzzy systems. Then, switched fuzzy filters are designed to guarantee that the filtering error system is globally uniformly asymptotically stable and has a prescribed $\mathcal {H}_{\infty }$ performance. At last, an illustrative example is provided to demonstrate the potentials and advantages of the proposed filtering scheme.",

keywords = "Asynchronous switching, discrete-time filtering, mode-dependent hybrid dwell time",

author = "Shuang Shi and Zhongyang Fei and Peng Shi and Ahn, {Choon Ki}",

note = "Funding Information: This work was supported in part by the National Natural Science Foundation of China under Grant 61873310, Grant 61790564, and Grant 61773131, in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325, in part by theHeilongjiang Science Foundation under Grant F2018015, and in part by the Australian Research Council under Grant DP170102644. Funding Information: Manuscript received June 29, 2018; revised October 19, 2018 and February 20, 2019; accepted May 10, 2019. Date of publication May 20, 2019; date of current version August 4, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 61873310, Grant 61790564, and Grant 61773131, in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325, in part by the Heilongjiang Science Foundation under Grant F2018015, and in part by the Australian Research Council under Grant DP170102644. (Corresponding author: Zhongyang Fei.) S. Shi and Z. Fei are with the Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China (e-mail: [email protected]; [email protected]). Publisher Copyright: {\textcopyright} 1993-2012 IEEE.",

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N2 - In this paper, asynchronous $\mathcal {H}_{\infty }$ filtering is studied for discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. New Lyapunov functions are constructed for switched systems with asynchronous switching between subsystems and candidate filters. These improved Lyapunov functions are dependent on the mode of filters instead of subsystems, which are more consistent with the switching mechanism of switched systems with asynchronous switching. Meanwhile, they are quasi-time-dependent, which are effective in achieving more general results than traditional time-independent Lyapunov functions. Based on the new Lyapunov functions, a stability and $\ell _{2}$-gain criterion is deduced for switched T-S fuzzy systems. Then, switched fuzzy filters are designed to guarantee that the filtering error system is globally uniformly asymptotically stable and has a prescribed $\mathcal {H}_{\infty }$ performance. At last, an illustrative example is provided to demonstrate the potentials and advantages of the proposed filtering scheme.

AB - In this paper, asynchronous $\mathcal {H}_{\infty }$ filtering is studied for discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. New Lyapunov functions are constructed for switched systems with asynchronous switching between subsystems and candidate filters. These improved Lyapunov functions are dependent on the mode of filters instead of subsystems, which are more consistent with the switching mechanism of switched systems with asynchronous switching. Meanwhile, they are quasi-time-dependent, which are effective in achieving more general results than traditional time-independent Lyapunov functions. Based on the new Lyapunov functions, a stability and $\ell _{2}$-gain criterion is deduced for switched T-S fuzzy systems. Then, switched fuzzy filters are designed to guarantee that the filtering error system is globally uniformly asymptotically stable and has a prescribed $\mathcal {H}_{\infty }$ performance. At last, an illustrative example is provided to demonstrate the potentials and advantages of the proposed filtering scheme.

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Asynchronous Filtering for Discrete-Time Switched T-S Fuzzy Systems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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