D-stability for discrete-time t-s fuzzy descriptor systems with multiple delays

Fanbiao Li; Peng Shi; Ligang Wu; Hamid Reza Karimi

doi:10.1109/ACC.2014.6858742

D-stability for discrete-time t-s fuzzy descriptor systems with multiple delays

Fanbiao Li
, Peng Shi
, Ligang Wu
, Hamid Reza Karimi

School of Astronautics

Harbin Institute of Technology
University of Adelaide
Victoria University
University of Agder

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

2 Scopus citations

Abstract

In this work, the D-stability problem is considered for a class of discrete-time Takagi-Sugeno (T-S) fuzzy descriptor systems with multiple state delays. In terms of linear matrix inequality, sufficient conditions are proposed to ensure that all poles of the descriptor T-S fuzzy system are located within a disk contained in the unit circle. Moreover, a sufficient condition is presented such that the singular system is regular, causal and D-stable in spite of multiple state delays. Finally, an example is given to show the effectiveness and advantages of the proposed techniques.

Original language	English
Title of host publication	2014 American Control Conference, ACC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4175-4179
Number of pages	5
ISBN (Print)	9781479932726
DOIs	https://doi.org/10.1109/ACC.2014.6858742
State	Published - 2014
Event	2014 American Control Conference, ACC 2014 - Portland, OR, United States Duration: 4 Jun 2014 → 6 Jun 2014

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2014 American Control Conference, ACC 2014
Country/Territory	United States
City	Portland, OR
Period	4/06/14 → 6/06/14

Keywords

Delay systems
Fuzzy systems
Stability of linear systems

Access to Document

10.1109/ACC.2014.6858742

Cite this

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title = "D-stability for discrete-time t-s fuzzy descriptor systems with multiple delays",

abstract = "In this work, the D-stability problem is considered for a class of discrete-time Takagi-Sugeno (T-S) fuzzy descriptor systems with multiple state delays. In terms of linear matrix inequality, sufficient conditions are proposed to ensure that all poles of the descriptor T-S fuzzy system are located within a disk contained in the unit circle. Moreover, a sufficient condition is presented such that the singular system is regular, causal and D-stable in spite of multiple state delays. Finally, an example is given to show the effectiveness and advantages of the proposed techniques.",

keywords = "Delay systems, Fuzzy systems, Stability of linear systems",

author = "Fanbiao Li and Peng Shi and Ligang Wu and Karimi, \{Hamid Reza\}",

year = "2014",

doi = "10.1109/ACC.2014.6858742",

language = "英语",

isbn = "9781479932726",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4175--4179",

booktitle = "2014 American Control Conference, ACC 2014",

address = "美国",

note = "2014 American Control Conference, ACC 2014 ; Conference date: 04-06-2014 Through 06-06-2014",

}

Li, F, Shi, P, Wu, L & Karimi, HR 2014, D-stability for discrete-time t-s fuzzy descriptor systems with multiple delays. in 2014 American Control Conference, ACC 2014., 6858742, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 4175-4179, 2014 American Control Conference, ACC 2014, Portland, OR, United States, 4/06/14. https://doi.org/10.1109/ACC.2014.6858742

D-stability for discrete-time t-s fuzzy descriptor systems with multiple delays. / Li, Fanbiao; Shi, Peng; Wu, Ligang et al.
2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4175-4179 6858742 (Proceedings of the American Control Conference).

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

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AU - Karimi, Hamid Reza

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N2 - In this work, the D-stability problem is considered for a class of discrete-time Takagi-Sugeno (T-S) fuzzy descriptor systems with multiple state delays. In terms of linear matrix inequality, sufficient conditions are proposed to ensure that all poles of the descriptor T-S fuzzy system are located within a disk contained in the unit circle. Moreover, a sufficient condition is presented such that the singular system is regular, causal and D-stable in spite of multiple state delays. Finally, an example is given to show the effectiveness and advantages of the proposed techniques.

AB - In this work, the D-stability problem is considered for a class of discrete-time Takagi-Sugeno (T-S) fuzzy descriptor systems with multiple state delays. In terms of linear matrix inequality, sufficient conditions are proposed to ensure that all poles of the descriptor T-S fuzzy system are located within a disk contained in the unit circle. Moreover, a sufficient condition is presented such that the singular system is regular, causal and D-stable in spite of multiple state delays. Finally, an example is given to show the effectiveness and advantages of the proposed techniques.

KW - Delay systems

KW - Fuzzy systems

KW - Stability of linear systems

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DO - 10.1109/ACC.2014.6858742

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PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 American Control Conference, ACC 2014

Y2 - 4 June 2014 through 6 June 2014

ER -

D-stability for discrete-time t-s fuzzy descriptor systems with multiple delays

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Publication series

Conference

Keywords

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