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

Department of Electrical Engineering

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

2 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Pages	1033-1038
Number of pages	6
DOIs	https://doi.org/10.1109/ICSMC.2009.5346021
Publication status	Published - 2009
Event	2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 - San Antonio, TX, United States Duration: 2009 Oct 11 → 2009 Oct 14

Other

Other	2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Country/Territory	United States
City	San Antonio, TX
Period	09-10-11 → 09-10-14

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Control and Systems Engineering
Human-Computer Interaction

Access to Document

10.1109/ICSMC.2009.5346021

Cite this

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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. in Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009., 5346021, pp. 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.

UR - https://www.scopus.com/pages/publications/74849120228

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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