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Title: Non-fragile estimation for discrete-time T-S fuzzy systems with event-triggered protocol (English)
Author: Han, Fei
Author: Gao, Wei
Author: Gao, Hongyu
Author: He, Qianqian
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 56
Issue: 1
Year: 2020
Pages: 57-80
Summary lang: English
Category: math
Summary: This paper investigates the non-fragile state estimation problem for a class of discrete-time T-S fuzzy systems with time-delays and multiple missing measurements under event-triggered mechanism. First of all, the plant is subject to the time-varying delays and the stochastic disturbances. Next, a random white sequence, the element of which obeys a general probabilistic distribution defined on $[0,1]$, is utilized to formulate the occurrence of the missing measurements. Also, an event generator function is employed to regulate the transmission of data to save the precious energy. Then, a non-fragile state estimator is constructed to reflect the randomly occurring gain variations in the implementing process. By means of the Lyapunov-Krasovskii functional, the desired sufficient conditions are obtained such that the Takagi-Sugeno (T-S) fuzzy estimation error system is exponentially ultimately bounded in the mean square. And then the upper bound is minimized via the robust optimization technique and the estimator gain matrices can be calculated. Finally, a simulation example is utilized to demonstrate the effectiveness of the state estimation scheme proposed in this paper. (English)
Keyword: Takagi--Sugeno fuzzy system
Keyword: exponentially ultimately boundness
Keyword: non-fragile estimation
Keyword: robust optimization
MSC: 93B35
MSC: 93C42
MSC: 93E10
MSC: 93E11
idZBL: Zbl 07217211
idMR: MR4091784
DOI: 10.14736/kyb-2020-1-0057
Date available: 2020-05-20T15:31:21Z
Last updated: 2021-03-29
Stable URL:
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