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

Authors:
Shun-Hung Tsai;Ming-Ying Hsiao;Tzuu.-Hseng S. Li;Kai.-Shiuan Shih;Chan.-Hong Chao;Chi-Hua Liu
Affiliations:
Graduate Institute of Automation Technology, National Taipei University of Technology, Taipei, Taiwan, R.O.C.;Department of Electrical Engineering, Fortune Institute of Technology, Kaohsiung, Taiwan, R.O.C.;Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.;Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.;Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.;General Education Center, Fortune Institute of Technology, Kaohsiung, Taiwan, R.O.C.
Venue:
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Year:
2009

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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.