Assuming that the solution space is a one-dimensional bounded space,we present a T-S fuzzy stochastic PSO model.PSO is viewed as a time-invariant linear plant with a time-varying feedback controller that is embedded in the T-S fuzzy state system.The randomly weighted sum of the cognition and social components is used as the state feedback controller in the local linear state system.The asymptotic stability of the new model is discussed in two different cases using the Lyapunov stability theory of the nonlinear stochastic systems.