Abstract: Based on a generalized PI controller, a tracking control approach is proposed to the control of non-Gaussian stochastic distribution systems with input delay. Introducing the B-spline expansion and nonlinear dynamic weight delay model to establish the relation between probability density function (PDF) and control input, the problem of PDF tracking control is transformed into that of nonlinear dynamic weight tracking control. Then, based on linear matrix inequality (LMI) technique, the sufficient condition for stochastic distribution systems with time delay is derived to ensure the tracking performance. Simulation results show the effectiveness of the proposed approach.