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

Author

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

Author_Institution

Grad. Inst. of Autom. Technol., Nat. Taipei Univ. of Technol., Taipei, Taiwan

fYear

2009

fDate

11-14 Oct. 2009

Firstpage

1033

Lastpage

1038

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.

Keywords

H^∞ control; bilinear systems; delays; discrete systems; fuzzy control; linear matrix inequalities; robust control; state feedback; DFBS; LMI-based H_∞ state-feedback control; Schur complement; T-S time-delay discrete fuzzy bilinear system; discrete robust H_∞ fuzzy controller; linear matrix inequality; stability condition; variable transformation; Discrete fuzzy bilinear system (DFBS); linear matrix inequalities (LMIs); robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on

Conference_Location

San Antonio, TX

ISSN

1062-922X

Print_ISBN

978-1-4244-2793-2

Electronic_ISBN

1062-922X

Type

conf

DOI

10.1109/ICSMC.2009.5346021

Filename

5346021