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 |
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Article number | 8718335 |
Pages (from-to) | 1531-1541 |
Number of pages | 11 |
Journal | IEEE Transactions on Fuzzy Systems |
Volume | 28 |
Issue number | 8 |
DOIs | |
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