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Zbl 1197.93106
Tsai, Shun-Hung; Li, Tzuu-Hseng S.
Robust fuzzy control of a class of fuzzy bilinear systems with time-delay. (English)
[J] Chaos Solitons Fractals 39, No. 5, 2028-2040 (2009). ISSN 0960-0779

Summary: This paper presents robust fuzzy controllers for a class of T-S fuzzy bilinear systems (FBSs) with time-delay. First, we adopt the parallel distributed compensation (PDC) method to design a fuzzy controller to stabilize the T-S FBS with time-delay. The stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Secondly, we propound some LMI conditions to set up the robust controller to stabilize the uncertain T-S FBS with time-delay. Finally, the validity and applicability of the proposed schemes are demonstrated by simulations. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC 2000:: *93C42 Fuzzy control
93B51 Design techniques in systems theory
93C23 Systems governed by functional-differential equations

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Zentralblatt MATH Berlin [Germany]