State-Feedback Based Fuzzy Control Design for Discrete-Time Interval Type-2 Fuzzy Bilinear Delay Systems

In this paper, we consider the fuzzy bilinear state-feedback control problem of discrete-time interval type-2 fuzzy bilinear systems with constant delay. First, considering the uncertainties in the membership functions, the nonlinear system are modeled into the interval type-2 fuzzy bilinear systems. Second, based on the Lyapunov stability theory, an interval type-2 fuzzy state-feedback control criterion is proposed to guarantee the interval type-2 fuzzy closed-loop bilinear system to be stable. The fuzzy controller can be obtained by using sequential linear programming matrix method. Finally, one example is introduced to demonstrate the effectiveness of the results.