Fuzzy generalized H2 filtering for nonlinear discrete-time systems with measurement quantization

Ju H. Park; Hao Shen; Xiao Heng Chang; Tae H. Lee

doi:10.1007/978-3-319-96202-3_8

Fuzzy generalized H₂ filtering for nonlinear discrete-time systems with measurement quantization

Ju H. Park^*
, Hao Shen
, Xiao Heng Chang
, Tae H. Lee

^*Corresponding author for this work

Division of Electronic Engineering

Research output: Contribution to conference › Chapter › peer-review

1 Scopus citations

Abstract

This chapter investigates the problem of robust generalized H₂ filtering for uncertain nonlinear systems with the effects of dynamic quantization in the communication channel from the sensor to the filter based on T-S fuzzy model method. In the presence of dynamic quantization, we aim to design both full- and reduced-order generalized H₂ filters to asymptotically stabilize the filtering error systems and achieve generalized H₂ performances. In contrast with some published papers on the filtering design with dynamic quantization, the obtained design conditions are based on linear matrix inequalities (LMIs) which can be easily solved with the help of Matlab. Finally, a numerical example will be used to show the obtained design approaches of generalized H₂ filtering with quantization are effective.

Original language	English
Title of host publication	Studies in Systems, Decision and Control
Publisher	Springer International Publishing
Pages	141-171
Number of pages	31
DOIs	https://doi.org/10.1007/978-3-319-96202-3_8
State	Published - 2019

Publication series

Name	Studies in Systems, Decision and Control
Volume	170
ISSN (Print)	2198-4182
ISSN (Electronic)	2198-4190

Keywords

Dynamic quantization
Generalized H filtering
Linear matrix inequalities (LMIs)
T-S fuzzy model
Uncertain nonlinear systems

Quacquarelli Symonds(QS) Subject Topics

Engineering - Mechanical
Computer Science & Information Systems
Mathematics
Data Science
Economics & Econometrics

Access to Document

10.1007/978-3-319-96202-3_8

Cite this

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title = "Fuzzy generalized H2 filtering for nonlinear discrete-time systems with measurement quantization",

abstract = "This chapter investigates the problem of robust generalized H2 filtering for uncertain nonlinear systems with the effects of dynamic quantization in the communication channel from the sensor to the filter based on T-S fuzzy model method. In the presence of dynamic quantization, we aim to design both full- and reduced-order generalized H2 filters to asymptotically stabilize the filtering error systems and achieve generalized H2 performances. In contrast with some published papers on the filtering design with dynamic quantization, the obtained design conditions are based on linear matrix inequalities (LMIs) which can be easily solved with the help of Matlab. Finally, a numerical example will be used to show the obtained design approaches of generalized H2 filtering with quantization are effective.",

keywords = "Dynamic quantization, Generalized H filtering, Linear matrix inequalities (LMIs), T-S fuzzy model, Uncertain nonlinear systems",

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N1 - Publisher Copyright: © Springer International Publishing AG, part of Springer Nature 2019.

PY - 2019

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