LMI-based fuzzy control for a class of time-delay discrete fuzzy bilinear system

Authors:
Shun-Hung Tsai;Ming-Ying Hsiao;Kun-Lin Tsai
Affiliations:
Graduate Institute of Automation Technology, National Taipei University of Technology, Taipei, Taiwan, R.O.C.;Department of multimedia design, Fortune Institute of Technology, Kaohsiung, Taiwan, R.O.C.;Department of Electrical Engineering, Tunghai University, Taichung, Taiwan, R.O.C.
Venue:
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Year:
2009

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Abstract

This paper presents robust fuzzy controllers for a class of T -S time-delay discrete fuzzy bilinear systems (DFBSs) with disturbance which ensures the robust asymptotic stability of the closed-loop system and guarantees an H∞ norm bound constraint on disturbance attenuation. Firstly, we proposed a H∞ fuzzy controller to stabilize the T-S 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, the validity and applicability of the proposed schemes are demonstrated by simulations.