LMI-based H∞ state-feedback control for T-S time-delay discrete fuzzy bilinear system

Shun Hung Tsai; Ming Ying Hsiao; Tzuu-Hseng S. Li; Kai Shiuan Shih; Chan Hong Chao; Chi Hua Liu

doi:10.1109/ICSMC.2009.5346021

LMI-based H∞ state-feedback control for T-S time-delay discrete fuzzy bilinear system

Shun Hung Tsai
, Ming Ying Hsiao
, Tzuu-Hseng S. Li
, Kai Shiuan Shih
, Chan Hong Chao
, Chi Hua Liu

電機工程學系

研究成果: Conference contribution

2 引文斯高帕斯（Scopus）

摘要

This paper presents a robust H_∞ fuzzy controller for a class of T-S time-delay discrete fuzzy bilinear system (DFBS). Firstly, a discrete robust H_∞ fuzzy controller is proposed to stabilize the T-S time-delay DFBS with disturbance. Secondly, based on the Schur complement and some variable transformation, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Finally, a numerical example is utilized to demonstrate the validity and effectiveness of the proposed control scheme.

原文	English
主出版物標題	Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
頁面	1033-1038
頁數	6
DOIs	https://doi.org/10.1109/ICSMC.2009.5346021
出版狀態	Published - 2009
事件	2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 - San Antonio, TX, United States 持續時間: 2009 10月 11 → 2009 10月 14

Other

Other	2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
國家/地區	United States
城市	San Antonio, TX
期間	09-10-11 → 09-10-14

All Science Journal Classification (ASJC) codes

電氣與電子工程
控制與系統工程
人機介面

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10.1109/ICSMC.2009.5346021

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title = "LMI-based H∞ state-feedback control for T-S time-delay discrete fuzzy bilinear system",

abstract = "This paper presents a robust H∞ fuzzy controller for a class of T-S time-delay discrete fuzzy bilinear system (DFBS). Firstly, a discrete robust H∞ fuzzy controller is proposed to stabilize the T-S time-delay DFBS with disturbance. Secondly, based on the Schur complement and some variable transformation, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Finally, a numerical example is utilized to demonstrate the validity and effectiveness of the proposed control scheme.",

author = "Tsai, \{Shun Hung\} and Hsiao, \{Ming Ying\} and Li, \{Tzuu-Hseng S.\} and Shih, \{Kai Shiuan\} and Chao, \{Chan Hong\} and Liu, \{Chi Hua\}",

year = "2009",

doi = "10.1109/ICSMC.2009.5346021",

language = "English",

isbn = "9781424427949",

pages = "1033--1038",

booktitle = "Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009",

note = "2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 ; Conference date: 11-10-2009 Through 14-10-2009",

}

Tsai, SH, Hsiao, MY, Li, T-HS, Shih, KS, Chao, CH & Liu, CH 2009, LMI-based H∞ state-feedback control for T-S time-delay discrete fuzzy bilinear system. 於 Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009., 5346021, 頁 1033-1038, 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009, San Antonio, TX, United States, 09-10-11. https://doi.org/10.1109/ICSMC.2009.5346021

TY - GEN

T1 - LMI-based H∞ state-feedback control for T-S time-delay discrete fuzzy bilinear system

AU - Tsai, Shun Hung

AU - Hsiao, Ming Ying

AU - Li, Tzuu-Hseng S.

AU - Shih, Kai Shiuan

AU - Chao, Chan Hong

AU - Liu, Chi Hua

PY - 2009

Y1 - 2009

N2 - This paper presents a robust H∞ fuzzy controller for a class of T-S time-delay discrete fuzzy bilinear system (DFBS). Firstly, a discrete robust H∞ fuzzy controller is proposed to stabilize the T-S time-delay DFBS with disturbance. Secondly, based on the Schur complement and some variable transformation, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Finally, a numerical example is utilized to demonstrate the validity and effectiveness of the proposed control scheme.

AB - This paper presents a robust H∞ fuzzy controller for a class of T-S time-delay discrete fuzzy bilinear system (DFBS). Firstly, a discrete robust H∞ fuzzy controller is proposed to stabilize the T-S time-delay DFBS with disturbance. Secondly, based on the Schur complement and some variable transformation, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Finally, a numerical example is utilized to demonstrate the validity and effectiveness of the proposed control scheme.

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UR - https://www.scopus.com/pages/publications/74849120228#tab=citedBy

U2 - 10.1109/ICSMC.2009.5346021

DO - 10.1109/ICSMC.2009.5346021

M3 - Conference contribution

AN - SCOPUS:74849120228

SN - 9781424427949

SP - 1033

EP - 1038

BT - Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009

T2 - 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009

Y2 - 11 October 2009 through 14 October 2009

ER -

LMI-based H∞ state-feedback control for T-S time-delay discrete fuzzy bilinear system

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