Event-based multi-objective filtering for multi-rate time-varying systems with random sensor saturation

Hui Li; Ming Lyu; Baozhu Du

Kybernetika (2020)

  • Volume: 56, Issue: 1, page 81-106
  • ISSN: 0023-5954

Abstract

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This paper focuses on the multi-objective filtering of multirate time-varying systems with random sensor saturations, where both the variance-constrained index and the H ∞ index are employed to evaluate the filtering performance. According to address issues, the high-frequency period of the internal state of the system is nondestructively converted to the low-frequency period, which determined by the measurement devices. Then the saturated output of multiple sensors is modeled as a sector bounded nonlinearity. At the same time, in order to reduce the communication frequency between sensors and filters, a communication scheduling rule is designed by the utilization of an event-triggered mechanism. By means of random analysis technology, the sufficient conditions are given to guarantee the preset H ∞ performance and variance constraint performance indexes of the system, and then the solution of the desired filter is obtained by using linear matrix inequalities. Finally, the validity and effectiveness of the proposed filter scheme are verified by numerical simulation.

How to cite

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Li, Hui, Lyu, Ming, and Du, Baozhu. "Event-based multi-objective filtering for multi-rate time-varying systems with random sensor saturation." Kybernetika 56.1 (2020): 81-106. <http://eudml.org/doc/296948>.

@article{Li2020,
abstract = {This paper focuses on the multi-objective filtering of multirate time-varying systems with random sensor saturations, where both the variance-constrained index and the $H_\infty $ index are employed to evaluate the filtering performance. According to address issues, the high-frequency period of the internal state of the system is nondestructively converted to the low-frequency period, which determined by the measurement devices. Then the saturated output of multiple sensors is modeled as a sector bounded nonlinearity. At the same time, in order to reduce the communication frequency between sensors and filters, a communication scheduling rule is designed by the utilization of an event-triggered mechanism. By means of random analysis technology, the sufficient conditions are given to guarantee the preset $H_\infty $ performance and variance constraint performance indexes of the system, and then the solution of the desired filter is obtained by using linear matrix inequalities. Finally, the validity and effectiveness of the proposed filter scheme are verified by numerical simulation.},
author = {Li, Hui, Lyu, Ming, Du, Baozhu},
journal = {Kybernetika},
keywords = {multi-rate time-varying system; stochastic saturation; $H_\infty $ filtering; variance-constraints; event-triggered scheme},
language = {eng},
number = {1},
pages = {81-106},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Event-based multi-objective filtering for multi-rate time-varying systems with random sensor saturation},
url = {http://eudml.org/doc/296948},
volume = {56},
year = {2020},
}

TY - JOUR
AU - Li, Hui
AU - Lyu, Ming
AU - Du, Baozhu
TI - Event-based multi-objective filtering for multi-rate time-varying systems with random sensor saturation
JO - Kybernetika
PY - 2020
PB - Institute of Information Theory and Automation AS CR
VL - 56
IS - 1
SP - 81
EP - 106
AB - This paper focuses on the multi-objective filtering of multirate time-varying systems with random sensor saturations, where both the variance-constrained index and the $H_\infty $ index are employed to evaluate the filtering performance. According to address issues, the high-frequency period of the internal state of the system is nondestructively converted to the low-frequency period, which determined by the measurement devices. Then the saturated output of multiple sensors is modeled as a sector bounded nonlinearity. At the same time, in order to reduce the communication frequency between sensors and filters, a communication scheduling rule is designed by the utilization of an event-triggered mechanism. By means of random analysis technology, the sufficient conditions are given to guarantee the preset $H_\infty $ performance and variance constraint performance indexes of the system, and then the solution of the desired filter is obtained by using linear matrix inequalities. Finally, the validity and effectiveness of the proposed filter scheme are verified by numerical simulation.
LA - eng
KW - multi-rate time-varying system; stochastic saturation; $H_\infty $ filtering; variance-constraints; event-triggered scheme
UR - http://eudml.org/doc/296948
ER -

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