Fault estimation for time-varying systems with Round-Robin protocol

Haijing Fu; Hongli Dong; Jinbo Song; Nan Hou; Gongfa Li

Kybernetika (2020)

  • Volume: 56, Issue: 1, page 107-126
  • ISSN: 0023-5954

Abstract

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This paper is concerned with the design problem of finite-horizon H ∞ 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 ∞ 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.

How to cite

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Fu, Haijing, et al. "Fault estimation for time-varying systems with Round-Robin protocol." Kybernetika 56.1 (2020): 107-126. <http://eudml.org/doc/297177>.

@article{Fu2020,
abstract = {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.},
author = {Fu, Haijing, Dong, Hongli, Song, Jinbo, Hou, Nan, Li, Gongfa},
journal = {Kybernetika},
keywords = {fault estimation; Round--Robin protocol; randomly occurring faults; Riccati difference equations; nonlinear time-varying system},
language = {eng},
number = {1},
pages = {107-126},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fault estimation for time-varying systems with Round-Robin protocol},
url = {http://eudml.org/doc/297177},
volume = {56},
year = {2020},
}

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
PB - Institute of Information Theory and Automation AS CR
VL - 56
IS - 1
SP - 107
EP - 126
AB - 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.
LA - eng
KW - fault estimation; Round--Robin protocol; randomly occurring faults; Riccati difference equations; nonlinear time-varying system
UR - http://eudml.org/doc/297177
ER -

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