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Robust fuzzy linear control of a class of stochastic nonlinear time-delay systems. (English) Zbl 1160.93358
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.
93C42Fuzzy control systems
93E03General theory of stochastic systems
93C23Systems governed by functional-differential equations