Hankel-norm model reduction for delayed fuzzy systems

Hongying ZHOU; Xiaojie SU; Yong Duan SONG; Qiulin YAN

doi:10.1109/CCDC.2015.7162058

Hankel-norm model reduction for delayed fuzzy systems

Hongying ZHOU
, Xiaojie SU
, Yong Duan SONG
, Qiulin YAN

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

4 Citations (Scopus)

Abstract

The problem of Hankel-norm model reduction is investigated for the T-S fuzzy system with time-varying delays. Our key work is to construct the reduced-order model based on a given stable system, which approximates the original system well in a specified Hankel-norm performance. On the basis of the reciprocally convex approach, an asymptotically stable condition is proposed for the corresponding error system with a Hankel-norm error performance. Then, the reduced-order model is obtained by utilizing the projection approach, which converts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints.

Original language	English
Title of host publication	Proceedings of the 27th Chinese Control and Decision Conference, CCDC 2015
Publisher	IEEE
Pages	964-968
Number of pages	5
ISBN (Electronic)	9781479970179
DOIs	https://doi.org/10.1109/CCDC.2015.7162058
Publication status	Published - May 2015
Externally published	Yes
Event	27th Chinese Control and Decision Conference, CCDC 2015 - Qingdao, China Duration: 23 Jul 2015 → 25 Jul 2015

Conference

Conference	27th Chinese Control and Decision Conference, CCDC 2015
Country/Territory	China
City	Qingdao
Period	23/07/15 → 25/07/15

Keywords

Model Reduction
T-S Fuzzy System
Time Delay

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10.1109/CCDC.2015.7162058

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@inproceedings{1336b7cbd6e24abeae30faf738cc13a2,

title = "Hankel-norm model reduction for delayed fuzzy systems",

abstract = "The problem of Hankel-norm model reduction is investigated for the T-S fuzzy system with time-varying delays. Our key work is to construct the reduced-order model based on a given stable system, which approximates the original system well in a specified Hankel-norm performance. On the basis of the reciprocally convex approach, an asymptotically stable condition is proposed for the corresponding error system with a Hankel-norm error performance. Then, the reduced-order model is obtained by utilizing the projection approach, which converts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints.",

keywords = "Model Reduction, T-S Fuzzy System, Time Delay",

author = "Hongying ZHOU and Xiaojie SU and SONG, \{Yong Duan\} and Qiulin YAN",

year = "2015",

month = may,

doi = "10.1109/CCDC.2015.7162058",

language = "English",

pages = "964--968",

booktitle = "Proceedings of the 27th Chinese Control and Decision Conference, CCDC 2015",

publisher = "IEEE",

note = "27th Chinese Control and Decision Conference, CCDC 2015 ; Conference date: 23-07-2015 Through 25-07-2015",

}

TY - GEN

T1 - Hankel-norm model reduction for delayed fuzzy systems

AU - ZHOU, Hongying

AU - SU, Xiaojie

AU - SONG, Yong Duan

AU - YAN, Qiulin

PY - 2015/5

Y1 - 2015/5

N2 - The problem of Hankel-norm model reduction is investigated for the T-S fuzzy system with time-varying delays. Our key work is to construct the reduced-order model based on a given stable system, which approximates the original system well in a specified Hankel-norm performance. On the basis of the reciprocally convex approach, an asymptotically stable condition is proposed for the corresponding error system with a Hankel-norm error performance. Then, the reduced-order model is obtained by utilizing the projection approach, which converts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints.

AB - The problem of Hankel-norm model reduction is investigated for the T-S fuzzy system with time-varying delays. Our key work is to construct the reduced-order model based on a given stable system, which approximates the original system well in a specified Hankel-norm performance. On the basis of the reciprocally convex approach, an asymptotically stable condition is proposed for the corresponding error system with a Hankel-norm error performance. Then, the reduced-order model is obtained by utilizing the projection approach, which converts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints.

KW - Model Reduction

KW - T-S Fuzzy System

KW - Time Delay

UR - https://www.scopus.com/pages/publications/84945534686

U2 - 10.1109/CCDC.2015.7162058

DO - 10.1109/CCDC.2015.7162058

M3 - Conference paper (refereed)

AN - SCOPUS:84945534686

SP - 964

EP - 968

BT - Proceedings of the 27th Chinese Control and Decision Conference, CCDC 2015

PB - IEEE

T2 - 27th Chinese Control and Decision Conference, CCDC 2015

Y2 - 23 July 2015 through 25 July 2015

ER -

Hankel-norm model reduction for delayed fuzzy systems

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