Observer-Based H∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements

Shan Li; Wen Kang; Da Wei Ding

doi:10.1109/CCDC.2019.8833318

Observer-Based H_∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements

Shan Li, Wen Kang, Da Wei Ding

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

Abstract

An observer-based H_∞ fuzzy controller is presented for one-dimensional (1-D) parabolic partial differential equations (PDEs) with bounded external disturbance using discrete point measurements. Sufficient conditions that guarantee internal exponential stability of the closed-loop system and the H_∞ performance index are derived in terms of linear matrix inequalities (LMIs). A numerical simulation example is given to demonstrate the efficiency of the results.

Original language	English
Title of host publication	Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2316-2321
Number of pages	6
ISBN (Electronic)	9781728101057
DOIs	https://doi.org/10.1109/CCDC.2019.8833318
Publication status	Published - Jun 2019
Externally published	Yes
Event	31st Chinese Control and Decision Conference, CCDC 2019 - Nanchang, China Duration: 3 Jun 2019 → 5 Jun 2019

Publication series

Name	Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019

Conference

Conference	31st Chinese Control and Decision Conference, CCDC 2019
Country/Territory	China
City	Nanchang
Period	3/06/19 → 5/06/19

Keywords

Disturbance
H Fuzzy control
Observer-based
Parabolic PDEs

Access to Document

10.1109/CCDC.2019.8833318

Cite this

Li, S., Kang, W., & Ding, D. W. (2019). Observer-Based H_∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements. In Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019 (pp. 2316-2321). Article 8833318 (Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2019.8833318

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title = "Observer-Based H∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements",

abstract = "An observer-based H∞ fuzzy controller is presented for one-dimensional (1-D) parabolic partial differential equations (PDEs) with bounded external disturbance using discrete point measurements. Sufficient conditions that guarantee internal exponential stability of the closed-loop system and the H∞ performance index are derived in terms of linear matrix inequalities (LMIs). A numerical simulation example is given to demonstrate the efficiency of the results.",

keywords = "Disturbance, H Fuzzy control, Observer-based, Parabolic PDEs",

author = "Shan Li and Wen Kang and Ding, {Da Wei}",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 31st Chinese Control and Decision Conference, CCDC 2019 ; Conference date: 03-06-2019 Through 05-06-2019",

year = "2019",

month = jun,

doi = "10.1109/CCDC.2019.8833318",

language = "English",

series = "Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019",

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Li, S, Kang, W & Ding, DW 2019, Observer-Based H_∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements. in Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019., 8833318, Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019, Institute of Electrical and Electronics Engineers Inc., pp. 2316-2321, 31st Chinese Control and Decision Conference, CCDC 2019, Nanchang, China, 3/06/19. https://doi.org/10.1109/CCDC.2019.8833318

Observer-Based H_∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements. / Li, Shan; Kang, Wen; Ding, Da Wei.
Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 2316-2321 8833318 (Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019).

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

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AU - Kang, Wen

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N2 - An observer-based H∞ fuzzy controller is presented for one-dimensional (1-D) parabolic partial differential equations (PDEs) with bounded external disturbance using discrete point measurements. Sufficient conditions that guarantee internal exponential stability of the closed-loop system and the H∞ performance index are derived in terms of linear matrix inequalities (LMIs). A numerical simulation example is given to demonstrate the efficiency of the results.

AB - An observer-based H∞ fuzzy controller is presented for one-dimensional (1-D) parabolic partial differential equations (PDEs) with bounded external disturbance using discrete point measurements. Sufficient conditions that guarantee internal exponential stability of the closed-loop system and the H∞ performance index are derived in terms of linear matrix inequalities (LMIs). A numerical simulation example is given to demonstrate the efficiency of the results.

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Li S, Kang W, Ding DW. Observer-Based H_∞ Fuzzy Control for 1-D Parabolic PDEs Using Point Measurements. In Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 2316-2321. 8833318. (Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019). doi: 10.1109/CCDC.2019.8833318