A formal procedure for generating a stochastic model for flexible structures is presented herein. The “best” available analytical model is taken and modeling errors and other random uncertainties are incorporated in the given model to generate a stochastic model. The optimal stochastic control for the system is derived and its performance is compared both with the deterministic model using a deterministic controller and with the stochastic model using the deterministic controller. A specific example is simulated whereby the results are plotted for different cases. Comments regarding applicability of the procedures are included.