Mean Square Stabilization of T-S Fuzzy Stochastic Systems

An LMI design method for mean square stabilization of a class of nonlinear stochastic systems based on the T-S fuzzy model is proposed. By means of Lyapunov stability theorems of nonlinear stochastic systems, some mean square exponential stability conditions are reduced to linear matrix inequality (LMI) problems. Relations among the stability conditions are discussed. The design procedures and performances are illustrated by numerical examples.