Dissipativity analysis for nonlinear descriptor time-delay systems

Han Chunsong; Wu Chunfeng; Wu Ligang; Zeng Qingshuang

Dissipativity analysis for nonlinear descriptor time-delay systems

Han Chunsong^*
, Wu Chunfeng
, Wu Ligang
, Zeng Qingshuang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Designing Institute of Hubei Space Technology Academy

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

1 Scopus citations

Abstract

In this paper, the dissipativity problem for a class of nonlinear systems with time-delay represented by Takagi-Sugeno (T-S) fuzzy model is investigated. By using of delay partitioning approach, a delay-dependent criterion is established in terms of strict linear matrix inequalities (LMIs), which guarantees the considered system to be admissibility and strict (Q, R, S)-α-dissapativity. The obtained results dependent upon not only time delay but also the number of delay partitions, thus are less conservative. In addition, the developed results encompass available results on H _∞ performance and strict passivity analysis as special cases. A numerical example is provided to illustrate the effectiveness of the proposed theories.

Original language	English
Title of host publication	Proceedings of the 31st Chinese Control Conference, CCC 2012
Pages	3590-3595
Number of pages	6
State	Published - 2012
Event	31st Chinese Control Conference, CCC 2012 - Hefei, China Duration: 25 Jul 2012 → 27 Jul 2012

Publication series

Name	Chinese Control Conference, CCC
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	31st Chinese Control Conference, CCC 2012
Country/Territory	China
City	Hefei
Period	25/07/12 → 27/07/12

Keywords

Takagi-Sugeno (T-S) fuzzy model
delay partitioning
descriptor system
α-dissipativity

Cite this

@inproceedings{0025f9101645485883549a863fff1add,

title = "Dissipativity analysis for nonlinear descriptor time-delay systems",

abstract = "In this paper, the dissipativity problem for a class of nonlinear systems with time-delay represented by Takagi-Sugeno (T-S) fuzzy model is investigated. By using of delay partitioning approach, a delay-dependent criterion is established in terms of strict linear matrix inequalities (LMIs), which guarantees the considered system to be admissibility and strict (Q, R, S)-α-dissapativity. The obtained results dependent upon not only time delay but also the number of delay partitions, thus are less conservative. In addition, the developed results encompass available results on H ∞ performance and strict passivity analysis as special cases. A numerical example is provided to illustrate the effectiveness of the proposed theories.",

keywords = "Takagi-Sugeno (T-S) fuzzy model, delay partitioning, descriptor system, α-dissipativity",

author = "Han Chunsong and Wu Chunfeng and Wu Ligang and Zeng Qingshuang",

year = "2012",

language = "英语",

isbn = "9789881563811",

series = "Chinese Control Conference, CCC",

pages = "3590--3595",

booktitle = "Proceedings of the 31st Chinese Control Conference, CCC 2012",

note = "31st Chinese Control Conference, CCC 2012 ; Conference date: 25-07-2012 Through 27-07-2012",

}

TY - GEN

T1 - Dissipativity analysis for nonlinear descriptor time-delay systems

AU - Chunsong, Han

AU - Chunfeng, Wu

AU - Ligang, Wu

AU - Qingshuang, Zeng

PY - 2012

Y1 - 2012

N2 - In this paper, the dissipativity problem for a class of nonlinear systems with time-delay represented by Takagi-Sugeno (T-S) fuzzy model is investigated. By using of delay partitioning approach, a delay-dependent criterion is established in terms of strict linear matrix inequalities (LMIs), which guarantees the considered system to be admissibility and strict (Q, R, S)-α-dissapativity. The obtained results dependent upon not only time delay but also the number of delay partitions, thus are less conservative. In addition, the developed results encompass available results on H ∞ performance and strict passivity analysis as special cases. A numerical example is provided to illustrate the effectiveness of the proposed theories.

AB - In this paper, the dissipativity problem for a class of nonlinear systems with time-delay represented by Takagi-Sugeno (T-S) fuzzy model is investigated. By using of delay partitioning approach, a delay-dependent criterion is established in terms of strict linear matrix inequalities (LMIs), which guarantees the considered system to be admissibility and strict (Q, R, S)-α-dissapativity. The obtained results dependent upon not only time delay but also the number of delay partitions, thus are less conservative. In addition, the developed results encompass available results on H ∞ performance and strict passivity analysis as special cases. A numerical example is provided to illustrate the effectiveness of the proposed theories.

KW - Takagi-Sugeno (T-S) fuzzy model

KW - delay partitioning

KW - descriptor system

KW - α-dissipativity

UR - https://www.scopus.com/pages/publications/84873541847

M3 - 会议稿件

AN - SCOPUS:84873541847

SN - 9789881563811

T3 - Chinese Control Conference, CCC

SP - 3590

EP - 3595

BT - Proceedings of the 31st Chinese Control Conference, CCC 2012

T2 - 31st Chinese Control Conference, CCC 2012

Y2 - 25 July 2012 through 27 July 2012

ER -

Dissipativity analysis for nonlinear descriptor time-delay systems

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