Fuzzy H ∞ FIR Filtering for T–S Fuzzy Systems with Quantization and Packet Dropout

Chang Joo Lee; Myo Taeg Lim

doi:10.1007/s12555-017-0465-8

Fuzzy H _∞ FIR Filtering for T–S Fuzzy Systems with Quantization and Packet Dropout

Chang Joo Lee, Myo Taeg Lim

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

This paper proposes a new fuzzy H_∞ finite impulse response (FIR) filter with quantization and packet dropout for Takagi–Sugeno (T–S) fuzzy systems with external disturbance. The measurements are quantized by a logarithmic quantizer and then transmitted from the plant to the filter imperfectly due to random packet loss described by the Bernoulli random process. The proposed fuzzy H_∞ FIR filter is in the form of fuzzy-basis-independent linear matrix inequalities (LMIs) that guarantee H_∞ performance. Two simulation examples are given to illustrate the effectiveness and robustness of the proposed fuzzy H_∞ FIR filter.

Original language	English
Pages (from-to)	961-971
Number of pages	11
Journal	International Journal of Control, Automation and Systems
Volume	16
Issue number	3
DOIs	https://doi.org/10.1007/s12555-017-0465-8
Publication status	Published - 2018 Jun 1

Keywords

Bernoulli random process
H filtering
Takagi–Sugeno (T–S) fuzzy systems
finite impulse response (FIR) structure
logarithmic quantizer
packet dropout
quantization

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

Access to Document

10.1007/s12555-017-0465-8

Cite this

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title = "Fuzzy H ∞ FIR Filtering for T–S Fuzzy Systems with Quantization and Packet Dropout",

abstract = "This paper proposes a new fuzzy H∞ finite impulse response (FIR) filter with quantization and packet dropout for Takagi–Sugeno (T–S) fuzzy systems with external disturbance. The measurements are quantized by a logarithmic quantizer and then transmitted from the plant to the filter imperfectly due to random packet loss described by the Bernoulli random process. The proposed fuzzy H∞ FIR filter is in the form of fuzzy-basis-independent linear matrix inequalities (LMIs) that guarantee H∞ performance. Two simulation examples are given to illustrate the effectiveness and robustness of the proposed fuzzy H∞ FIR filter.",

keywords = "Bernoulli random process, H filtering, Takagi–Sugeno (T–S) fuzzy systems, finite impulse response (FIR) structure, logarithmic quantizer, packet dropout, quantization",

author = "Lee, {Chang Joo} and Lim, {Myo Taeg}",

note = "Funding Information: Manuscript received August 4, 2017; revised October 17, 2017; accepted October 30, 2017. Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Euntai Kim. This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant No. NRF-2016R1D1A1B01016071). Publisher Copyright: {\textcopyright} 2018, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.",

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KW - packet dropout

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