Input-To-State Stabilization of Uncertain Parabolic PDEs Using an Observer-Based Fuzzy Control

Wen Kang; Shan Li; Da Wei Ding

doi:10.1109/ACCESS.2018.2889650

Input-To-State Stabilization of Uncertain Parabolic PDEs Using an Observer-Based Fuzzy Control

Wen Kang, Shan Li, Da Wei Ding^*

^*Corresponding author for this work

University of Science and Technology Beijing

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

2 Citations (Scopus)

Abstract

This paper presents an observer-based fuzzy controller for one-dimensional parabolic partial differential equations with distributed bounded disturbance using discrete point measurements. Sufficient conditions are derived to guarantee the input-To-state stability of the closed-loop system in terms of linear matrix inequalities. A numerical simulation example is given to demonstrate the efficiency of the results.

Original language	English
Article number	8588985
Pages (from-to)	3581-3591
Number of pages	11
Journal	IEEE Access
Volume	7
DOIs	https://doi.org/10.1109/ACCESS.2018.2889650
Publication status	Published - 2019
Externally published	Yes

Keywords

Fuzzy control
ISS
disturbance
parabolic PDEs

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10.1109/ACCESS.2018.2889650

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title = "Input-To-State Stabilization of Uncertain Parabolic PDEs Using an Observer-Based Fuzzy Control",

abstract = "This paper presents an observer-based fuzzy controller for one-dimensional parabolic partial differential equations with distributed bounded disturbance using discrete point measurements. Sufficient conditions are derived to guarantee the input-To-state stability of the closed-loop system in terms of linear matrix inequalities. A numerical simulation example is given to demonstrate the efficiency of the results.",

keywords = "Fuzzy control, ISS, disturbance, parabolic PDEs",

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

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2019",

doi = "10.1109/ACCESS.2018.2889650",

language = "English",

volume = "7",

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journal = "IEEE Access",

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AU - Kang, Wen

AU - Li, Shan

AU - Ding, Da Wei

PY - 2019

Y1 - 2019

N2 - This paper presents an observer-based fuzzy controller for one-dimensional parabolic partial differential equations with distributed bounded disturbance using discrete point measurements. Sufficient conditions are derived to guarantee the input-To-state stability of the closed-loop system in terms of linear matrix inequalities. A numerical simulation example is given to demonstrate the efficiency of the results.

AB - This paper presents an observer-based fuzzy controller for one-dimensional parabolic partial differential equations with distributed bounded disturbance using discrete point measurements. Sufficient conditions are derived to guarantee the input-To-state stability of the closed-loop system in terms of linear matrix inequalities. A numerical simulation example is given to demonstrate the efficiency of the results.

KW - Fuzzy control

KW - ISS

KW - disturbance

KW - parabolic PDEs

UR - http://www.scopus.com/inward/record.url?scp=85059249112&partnerID=8YFLogxK

U2 - 10.1109/ACCESS.2018.2889650

DO - 10.1109/ACCESS.2018.2889650

M3 - Article

AN - SCOPUS:85059249112

SN - 2169-3536

VL - 7

SP - 3581

EP - 3591

JO - IEEE Access

JF - IEEE Access

M1 - 8588985

ER -

Input-To-State Stabilization of Uncertain Parabolic PDEs Using an Observer-Based Fuzzy Control

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Keywords

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