H∞fuzzy control design of delayed fourth-order PDEs system

Wen Kang; Dai Wei Ding

doi:10.1109/YAC51587.2020.9337663

H_∞fuzzy control design of delayed fourth-order PDEs system

Wen Kang, Dai Wei Ding

University of Science and Technology Beijing

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We focus on H∞ fuzzy control design for nonlinear fourth-order parabolic equation with input delay. The Lyapunov method is applied to find sufficient conditions for internal exponential stability and L2-gain analysis of closed-loop system. To validate the result, a numerical example is presented in the end.

Original language	English
Title of host publication	Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	237-241
Number of pages	5
ISBN (Electronic)	9781728176840
DOIs	https://doi.org/10.1109/YAC51587.2020.9337663
Publication status	Published - 16 Oct 2020
Externally published	Yes
Event	35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020 - Zhanjiang, China Duration: 16 Oct 2020 → 18 Oct 2020

Publication series

Name	Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020

Conference

Conference	35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020
Country/Territory	China
City	Zhanjiang
Period	16/10/20 → 18/10/20

Keywords

Distributed parameter system
LMIs

Access to Document

10.1109/YAC51587.2020.9337663

Cite this

Kang, W., & Ding, D. W. (2020). H_∞fuzzy control design of delayed fourth-order PDEs system. In Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020 (pp. 237-241). Article 9337663 (Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/YAC51587.2020.9337663

Kang, Wen ; Ding, Dai Wei. / H_∞fuzzy control design of delayed fourth-order PDEs system. Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 237-241 (Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020).

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title = "H∞fuzzy control design of delayed fourth-order PDEs system",

abstract = "We focus on H∞ fuzzy control design for nonlinear fourth-order parabolic equation with input delay. The Lyapunov method is applied to find sufficient conditions for internal exponential stability and L2-gain analysis of closed-loop system. To validate the result, a numerical example is presented in the end.",

keywords = "Distributed parameter system, LMIs",

author = "Wen Kang and Ding, {Dai Wei}",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020 ; Conference date: 16-10-2020 Through 18-10-2020",

year = "2020",

month = oct,

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doi = "10.1109/YAC51587.2020.9337663",

language = "English",

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Kang, W & Ding, DW 2020, H_∞fuzzy control design of delayed fourth-order PDEs system. in Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020., 9337663, Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020, Institute of Electrical and Electronics Engineers Inc., pp. 237-241, 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020, Zhanjiang, China, 16/10/20. https://doi.org/10.1109/YAC51587.2020.9337663

H_∞fuzzy control design of delayed fourth-order PDEs system. / Kang, Wen; Ding, Dai Wei.
Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 237-241 9337663 (Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Ding, Dai Wei

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N2 - We focus on H∞ fuzzy control design for nonlinear fourth-order parabolic equation with input delay. The Lyapunov method is applied to find sufficient conditions for internal exponential stability and L2-gain analysis of closed-loop system. To validate the result, a numerical example is presented in the end.

AB - We focus on H∞ fuzzy control design for nonlinear fourth-order parabolic equation with input delay. The Lyapunov method is applied to find sufficient conditions for internal exponential stability and L2-gain analysis of closed-loop system. To validate the result, a numerical example is presented in the end.

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Kang W, Ding DW. H_∞fuzzy control design of delayed fourth-order PDEs system. In Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 237-241. 9337663. (Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020). doi: 10.1109/YAC51587.2020.9337663