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Robust fuzzy control of a class of fuzzy bilinear systems with time-delay. (English) Zbl 1197.93106

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.

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:
93C42Fuzzy control systems
93B51Design techniques in systems theory
93C23Systems governed by functional-differential equations