Karimi, H. R.; Moshiri, B.; Lucas, C. Robust fuzzy linear control of a class of stochastic nonlinear time-delay systems. (English) Zbl 1160.93358 Nonlinear Dyn. Syst. Theory 4, No. 3, 317-332 (2004). Summary: This paper presents the fuzzy linear control design method for a class of stochastic nonlinear time-delay systems with state feedback. First, the Takagi and Sugeno fuzzy linear model is employed to approximate a nonlinear system. Next, based on the fuzzy linear model, a fuzzy linear controller is developed to stabilize the nonlinear system. The control law is obtained to ensure stochastic exponential stability in the mean-square, independent of the time-delay. The sufficient conditions for the existence of such a control are proposed in terms of a certain linear matrix inequality. Finally, a simulation example is given to illustrate the applicability of the proposed design method. Cited in 2 Documents MSC: 93C42 Fuzzy control/observation systems 93E03 Stochastic systems in control theory (general) 93C23 Control/observation systems governed by functional-differential equations Keywords:Fuzzy linear control; linear matrix inequality; time-delay systems; stochastic systems; exponential stability PDFBibTeX XMLCite \textit{H. R. Karimi} et al., Nonlinear Dyn. Syst. Theory 4, No. 3, 317--332 (2004; Zbl 1160.93358) Full Text: Link