Geodesic
Non-fragile estimation for discrete-time T-S fuzzy systems with event-triggered protocol
Kybernetika, Tome 56 (2020) no. 1, pp. 57-80

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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.
DOI : 10.14736/kyb-2020-1-0057
Classification : 93B35, 93C42, 93E10, 93E11
Keywords: Takagi--Sugeno fuzzy system; exponentially ultimately boundness; non-fragile estimation; robust optimization 
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     author = {Han, Fei and Gao, Wei and Gao, Hongyu and He, Qianqian},
     title = {Non-fragile estimation for discrete-time {T-S} fuzzy systems with event-triggered protocol},
     journal = {Kybernetika},
     pages = {57--80},
     publisher = {mathdoc},
     volume = {56},
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     year = {2020},
     doi = {10.14736/kyb-2020-1-0057},
     mrnumber = {4091784},
     zbl = {07217211},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-1-0057/}
}
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Han, Fei; Gao, Wei; Gao, Hongyu; He, Qianqian. Non-fragile estimation for discrete-time T-S fuzzy systems with event-triggered protocol. Kybernetika, Tome 56 (2020) no. 1, pp. 57-80. doi: 10.14736/kyb-2020-1-0057

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