Optimization of Fuzzy Membership Function based on the NCOS function method

Jingying Li; Xingjian Jing; Zhengchao Li; Xianlin Huang

doi:10.1109/IECON43393.2020.9255252

Optimization of Fuzzy Membership Function based on the NCOS function method

Jingying Li
, Xingjian Jing
, Zhengchao Li
, Xianlin Huang

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

1 Citation (Scopus)

Abstract

This paper investigates the parameter optimization problem of membership functions for fuzzy-model-based control under imperfect premise matching. A novel frequency domain algorithm which can clearly relate the membership function parameters to the targeted control performance is developed, and consequently an optimization approach to the membership function parameters is then established based on the resulting nonlinear characteristic output spectrum function (nCOS). Compared to traditional search-based optimization approach, this method can give a more detailed result with less time consuming and an in-depth understanding of nonlinear influence rather than just optimal results. With this novel method, performance of the fuzzy-model-based controller is further enhanced. Finally, the fuzzy membership functions optimization method is applied to nonlinear systems to obtain improved system performance.

Original language	English
Title of host publication	Proceedings
Subtitle of host publication	IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society
Publisher	IEEE
Pages	323-328
ISBN (Electronic)	978-1-7281-5414-5
ISBN (Print)	978-1-7281-5415-2
DOIs	https://doi.org/10.1109/IECON43393.2020.9255252
Publication status	Published - 2020
Externally published	Yes
Event	46th Annual Conference of the IEEE Industrial Electronics Society (IECON 2020) - Virtual, Singapore Duration: 19 Oct 2020 → 21 Oct 2020 https://www.iecon2020.org/

Publication series

Name	IECON Proceedings (Industrial Electronics Conference)
ISSN (Print)	1553-572X
ISSN (Electronic)	2577-1647

Conference

Conference	46th Annual Conference of the IEEE Industrial Electronics Society (IECON 2020)
Place	Singapore
Period	19/10/20 → 21/10/20
Internet address	https://www.iecon2020.org/

Funding

This work was supported by a General Research Fund project (15206717) of Hong Kong RGC.

Research Keywords

Membership function optimization
frequency domain method
FREQUENCY-RESPONSE FUNCTIONS
H-INFINITY CONTROL
STABILITY ANALYSIS
CONTROL-SYSTEMS
DESIGN
MATRIX

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10.1109/IECON43393.2020.9255252

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Cite this

@inproceedings{86f3755c31e24df6931c612b922fe4dc,

title = "Optimization of Fuzzy Membership Function based on the NCOS function method",

abstract = "This paper investigates the parameter optimization problem of membership functions for fuzzy-model-based control under imperfect premise matching. A novel frequency domain algorithm which can clearly relate the membership function parameters to the targeted control performance is developed, and consequently an optimization approach to the membership function parameters is then established based on the resulting nonlinear characteristic output spectrum function (nCOS). Compared to traditional search-based optimization approach, this method can give a more detailed result with less time consuming and an in-depth understanding of nonlinear influence rather than just optimal results. With this novel method, performance of the fuzzy-model-based controller is further enhanced. Finally, the fuzzy membership functions optimization method is applied to nonlinear systems to obtain improved system performance.",

keywords = "Membership function optimization, frequency domain method, FREQUENCY-RESPONSE FUNCTIONS, H-INFINITY CONTROL, STABILITY ANALYSIS, CONTROL-SYSTEMS, DESIGN, MATRIX",

author = "Jingying Li and Xingjian Jing and Zhengchao Li and Xianlin Huang",

year = "2020",

doi = "10.1109/IECON43393.2020.9255252",

language = "English",

isbn = "978-1-7281-5415-2",

series = "IECON Proceedings (Industrial Electronics Conference)",

publisher = "IEEE",

pages = "323--328",

booktitle = "Proceedings",

address = "United States",

note = "46th Annual Conference of the IEEE Industrial Electronics Society (IECON 2020) ; Conference date: 19-10-2020 Through 21-10-2020",

url = "https://www.iecon2020.org/",

}

Li, J, Jing, X, Li, Z & Huang, X 2020, Optimization of Fuzzy Membership Function based on the NCOS function method. in Proceedings: IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society., 9255252, IECON Proceedings (Industrial Electronics Conference), IEEE, pp. 323-328, 46th Annual Conference of the IEEE Industrial Electronics Society (IECON 2020), Singapore, 19/10/20. https://doi.org/10.1109/IECON43393.2020.9255252

Optimization of Fuzzy Membership Function based on the NCOS function method. / Li, Jingying; Jing, Xingjian; Li, Zhengchao et al.
Proceedings: IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society. IEEE, 2020. p. 323-328 9255252 (IECON Proceedings (Industrial Electronics Conference)).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Optimization of Fuzzy Membership Function based on the NCOS function method

AU - Li, Jingying

AU - Jing, Xingjian

AU - Li, Zhengchao

AU - Huang, Xianlin

PY - 2020

Y1 - 2020

N2 - This paper investigates the parameter optimization problem of membership functions for fuzzy-model-based control under imperfect premise matching. A novel frequency domain algorithm which can clearly relate the membership function parameters to the targeted control performance is developed, and consequently an optimization approach to the membership function parameters is then established based on the resulting nonlinear characteristic output spectrum function (nCOS). Compared to traditional search-based optimization approach, this method can give a more detailed result with less time consuming and an in-depth understanding of nonlinear influence rather than just optimal results. With this novel method, performance of the fuzzy-model-based controller is further enhanced. Finally, the fuzzy membership functions optimization method is applied to nonlinear systems to obtain improved system performance.

AB - This paper investigates the parameter optimization problem of membership functions for fuzzy-model-based control under imperfect premise matching. A novel frequency domain algorithm which can clearly relate the membership function parameters to the targeted control performance is developed, and consequently an optimization approach to the membership function parameters is then established based on the resulting nonlinear characteristic output spectrum function (nCOS). Compared to traditional search-based optimization approach, this method can give a more detailed result with less time consuming and an in-depth understanding of nonlinear influence rather than just optimal results. With this novel method, performance of the fuzzy-model-based controller is further enhanced. Finally, the fuzzy membership functions optimization method is applied to nonlinear systems to obtain improved system performance.

KW - Membership function optimization

KW - frequency domain method

KW - FREQUENCY-RESPONSE FUNCTIONS

KW - H-INFINITY CONTROL

KW - STABILITY ANALYSIS

KW - CONTROL-SYSTEMS

KW - DESIGN

KW - MATRIX

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DO - 10.1109/IECON43393.2020.9255252

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 978-1-7281-5415-2

T3 - IECON Proceedings (Industrial Electronics Conference)

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BT - Proceedings

PB - IEEE

T2 - 46th Annual Conference of the IEEE Industrial Electronics Society (IECON 2020)

Y2 - 19 October 2020 through 21 October 2020

ER -

Optimization of Fuzzy Membership Function based on the NCOS function method

Abstract

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Research Keywords

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