Fault estimation for time-varying systems with Round-Robin protocol
Kybernetika, Tome 56 (2020) no. 1, pp. 107-126
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This paper is concerned with the design problem of finite-horizon $H_\infty$ fault estimator for a class of nonlinear time-varying systems with Round-Robin protocol scheduling. The faults are assumed to occur in a random way governed by a Bernoulli distributed white sequence. The communication between the sensor nodes and fault estimators is implemented via a shared network. In order to prevent the data from collisions, a Round-Robin protocol is utilized to orchestrate the transmission of sensor nodes. By means of the stochastic analysis technique and the completing squares method, a necessary and sufficient condition is established for the existence of fault estimator ensuring that the estimation error dynamics satisfies the prescribed $H_\infty$ constraint. The time-varying parameters of fault estimator are obtained by recursively solving a set of coupled backward Riccati difference equations. A simulation example is given to demonstrate the effectiveness of the proposed design scheme of the fault estimator.
DOI :
10.14736/kyb-2020-1-0107
Classification :
93C10, 93E10
Keywords: fault estimation; Round--Robin protocol; randomly occurring faults; Riccati difference equations; nonlinear time-varying system
Keywords: fault estimation; Round--Robin protocol; randomly occurring faults; Riccati difference equations; nonlinear time-varying system
@article{10_14736_kyb_2020_1_0107,
author = {Fu, Haijing and Dong, Hongli and Song, Jinbo and Hou, Nan and Li, Gongfa},
title = {Fault estimation for time-varying systems with {Round-Robin} protocol},
journal = {Kybernetika},
pages = {107--126},
publisher = {mathdoc},
volume = {56},
number = {1},
year = {2020},
doi = {10.14736/kyb-2020-1-0107},
mrnumber = {4091786},
zbl = {07217213},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-1-0107/}
}
TY - JOUR AU - Fu, Haijing AU - Dong, Hongli AU - Song, Jinbo AU - Hou, Nan AU - Li, Gongfa TI - Fault estimation for time-varying systems with Round-Robin protocol JO - Kybernetika PY - 2020 SP - 107 EP - 126 VL - 56 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-1-0107/ DO - 10.14736/kyb-2020-1-0107 LA - en ID - 10_14736_kyb_2020_1_0107 ER -
%0 Journal Article %A Fu, Haijing %A Dong, Hongli %A Song, Jinbo %A Hou, Nan %A Li, Gongfa %T Fault estimation for time-varying systems with Round-Robin protocol %J Kybernetika %D 2020 %P 107-126 %V 56 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-1-0107/ %R 10.14736/kyb-2020-1-0107 %G en %F 10_14736_kyb_2020_1_0107
Fu, Haijing; Dong, Hongli; Song, Jinbo; Hou, Nan; Li, Gongfa. Fault estimation for time-varying systems with Round-Robin protocol. Kybernetika, Tome 56 (2020) no. 1, pp. 107-126. doi: 10.14736/kyb-2020-1-0107
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