Non-Fragile Sampled-Data Control for Semilinear Parabolic PDE Systems

Zi-Peng Wang; Huai-Ning Wu; Han-Xiong Li

doi:10.1109/CAC.2017.8243588

Non-Fragile Sampled-Data Control for Semilinear Parabolic PDE Systems

Zi-Peng Wang^*
, Huai-Ning Wu
, Han-Xiong Li

^*Corresponding author for this work

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

Abstract

This paper considers the non-fragile sampled-data (SD) control problem of semilinear parabolic partial differential equation (PDE) systems. By using a Lyapunov functional (LF), a non-fragile SD controller is proposed to stabilize exponentially the PDE system. The stabilization condition is presented by linear matrix inequalities (LMIs). Finally, simulation results are provided to control the the FitzHugh-Nagumo (FHN) equation for illustrating the effectiveness of the proposed design method.

Original language	English
Title of host publication	Proceedings - 2017 Chinese Automation Congress (CAC)
Publisher	IEEE
Pages	4581-4586
ISBN (Print)	9781538635247, 9781538635230, 9781538635254
DOIs	https://doi.org/10.1109/CAC.2017.8243588
Publication status	Published - Oct 2017
Event	2017 Chinese Automation Congress (CAC 2017) - Jinan, China Duration: 20 Oct 2017 → 22 Oct 2017

Conference

Conference	2017 Chinese Automation Congress (CAC 2017)
Place	China
City	Jinan
Period	20/10/17 → 22/10/17

Research Keywords

DISTRIBUTED-PARAMETER SYSTEMS
H-INFINITY CONTROL
ROBUST-CONTROL
STABILITY

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10.1109/CAC.2017.8243588

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title = "Non-Fragile Sampled-Data Control for Semilinear Parabolic PDE Systems",

abstract = "This paper considers the non-fragile sampled-data (SD) control problem of semilinear parabolic partial differential equation (PDE) systems. By using a Lyapunov functional (LF), a non-fragile SD controller is proposed to stabilize exponentially the PDE system. The stabilization condition is presented by linear matrix inequalities (LMIs). Finally, simulation results are provided to control the the FitzHugh-Nagumo (FHN) equation for illustrating the effectiveness of the proposed design method.",

keywords = "DISTRIBUTED-PARAMETER SYSTEMS, H-INFINITY CONTROL, ROBUST-CONTROL, STABILITY",

author = "Zi-Peng Wang and Huai-Ning Wu and Han-Xiong Li",

year = "2017",

month = oct,

doi = "10.1109/CAC.2017.8243588",

language = "English",

isbn = "9781538635247",

pages = "4581--4586",

booktitle = "Proceedings - 2017 Chinese Automation Congress (CAC)",

publisher = "IEEE",

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note = "2017 Chinese Automation Congress (CAC 2017) ; Conference date: 20-10-2017 Through 22-10-2017",

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T1 - Non-Fragile Sampled-Data Control for Semilinear Parabolic PDE Systems

AU - Wang, Zi-Peng

AU - Wu, Huai-Ning

AU - Li, Han-Xiong

PY - 2017/10

Y1 - 2017/10

N2 - This paper considers the non-fragile sampled-data (SD) control problem of semilinear parabolic partial differential equation (PDE) systems. By using a Lyapunov functional (LF), a non-fragile SD controller is proposed to stabilize exponentially the PDE system. The stabilization condition is presented by linear matrix inequalities (LMIs). Finally, simulation results are provided to control the the FitzHugh-Nagumo (FHN) equation for illustrating the effectiveness of the proposed design method.

AB - This paper considers the non-fragile sampled-data (SD) control problem of semilinear parabolic partial differential equation (PDE) systems. By using a Lyapunov functional (LF), a non-fragile SD controller is proposed to stabilize exponentially the PDE system. The stabilization condition is presented by linear matrix inequalities (LMIs). Finally, simulation results are provided to control the the FitzHugh-Nagumo (FHN) equation for illustrating the effectiveness of the proposed design method.

KW - DISTRIBUTED-PARAMETER SYSTEMS

KW - H-INFINITY CONTROL

KW - ROBUST-CONTROL

KW - STABILITY

UR - https://www.scopus.com/pages/publications/85050363471

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85050363471&origin=recordpage

U2 - 10.1109/CAC.2017.8243588

DO - 10.1109/CAC.2017.8243588

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

SN - 9781538635247

SN - 9781538635230

SN - 9781538635254

SP - 4581

EP - 4586

BT - Proceedings - 2017 Chinese Automation Congress (CAC)

PB - IEEE

T2 - 2017 Chinese Automation Congress (CAC 2017)

Y2 - 20 October 2017 through 22 October 2017

ER -

Non-Fragile Sampled-Data Control for Semilinear Parabolic PDE Systems

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